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University of Texas – Austin

1. Liu, Ju. Thermodynamically consistent modeling and simulation of multiphase flows.

Degree: PhD, Computational Science, Engineering, and Mathematics, 2014, University of Texas – Austin

URL: http://hdl.handle.net/2152/28353

► Multiphase flow is a familiar phenomenon from daily life and occupies an important role in physics, engineering, and medicine. The understanding of multiphase flows relies…
(more)

Subjects/Keywords: Multiphase flows; Phase-field model; Non-convex entropy; Van der Waals theory; Coleman-Noll approach; Isogeometric analysis; Entropy variable formulation; Temporal scheme; Parallel computing; Thermocapillarity; Boiling

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Liu, J. (2014). Thermodynamically consistent modeling and simulation of multiphase flows. (Doctoral Dissertation). University of Texas – Austin. Retrieved from http://hdl.handle.net/2152/28353

Chicago Manual of Style (16^{th} Edition):

Liu, Ju. “Thermodynamically consistent modeling and simulation of multiphase flows.” 2014. Doctoral Dissertation, University of Texas – Austin. Accessed April 14, 2021. http://hdl.handle.net/2152/28353.

MLA Handbook (7^{th} Edition):

Liu, Ju. “Thermodynamically consistent modeling and simulation of multiphase flows.” 2014. Web. 14 Apr 2021.

Vancouver:

Liu J. Thermodynamically consistent modeling and simulation of multiphase flows. [Internet] [Doctoral dissertation]. University of Texas – Austin; 2014. [cited 2021 Apr 14]. Available from: http://hdl.handle.net/2152/28353.

Council of Science Editors:

Liu J. Thermodynamically consistent modeling and simulation of multiphase flows. [Doctoral Dissertation]. University of Texas – Austin; 2014. Available from: http://hdl.handle.net/2152/28353

University of Texas – Austin

2. -6969-6857. New ideas in adjoint methods for PDEs : a saddle-point paradigm for finite element analysis and its role in the DPG methodology.

Degree: PhD, Computational Science, Engineering, and Mathematics, 2018, University of Texas – Austin

URL: http://hdl.handle.net/2152/68919

► This dissertation presents a novel framework for the construction and analysis of finite element methods with trial and test spaces of unequal dimension. At the…
(more)

Subjects/Keywords: DPG method; DPG* method; Mixed method; Adjoint method; Finite element method

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APA (6^{th} Edition):

-6969-6857. (2018). New ideas in adjoint methods for PDEs : a saddle-point paradigm for finite element analysis and its role in the DPG methodology. (Doctoral Dissertation). University of Texas – Austin. Retrieved from http://hdl.handle.net/2152/68919

Note: this citation may be lacking information needed for this citation format:

Author name may be incomplete

Chicago Manual of Style (16^{th} Edition):

-6969-6857. “New ideas in adjoint methods for PDEs : a saddle-point paradigm for finite element analysis and its role in the DPG methodology.” 2018. Doctoral Dissertation, University of Texas – Austin. Accessed April 14, 2021. http://hdl.handle.net/2152/68919.

Note: this citation may be lacking information needed for this citation format:

Author name may be incomplete

MLA Handbook (7^{th} Edition):

-6969-6857. “New ideas in adjoint methods for PDEs : a saddle-point paradigm for finite element analysis and its role in the DPG methodology.” 2018. Web. 14 Apr 2021.

Note: this citation may be lacking information needed for this citation format:

Author name may be incomplete

Vancouver:

-6969-6857. New ideas in adjoint methods for PDEs : a saddle-point paradigm for finite element analysis and its role in the DPG methodology. [Internet] [Doctoral dissertation]. University of Texas – Austin; 2018. [cited 2021 Apr 14]. Available from: http://hdl.handle.net/2152/68919.

Author name may be incomplete

Council of Science Editors:

-6969-6857. New ideas in adjoint methods for PDEs : a saddle-point paradigm for finite element analysis and its role in the DPG methodology. [Doctoral Dissertation]. University of Texas – Austin; 2018. Available from: http://hdl.handle.net/2152/68919

Author name may be incomplete

University of Texas – Austin

3. Kamensky, David Michael. Immersogeometric fluid–structure interaction analysis of bioprosthetic heart valves.

Degree: PhD, Computational science, engineering, and mathematics, 2016, University of Texas – Austin

URL: http://hdl.handle.net/2152/46874

► The purpose of this dissertation is to develop numerical methods for fluid–structure interaction (FSI) analysis that are suitable for modeling and simulating bioprosthetic heart valves…
(more)

Subjects/Keywords: Fluid–structure interaction; Isogeometric analysis; Immersogeometric analysis

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APA (6^{th} Edition):

Kamensky, D. M. (2016). Immersogeometric fluid–structure interaction analysis of bioprosthetic heart valves. (Doctoral Dissertation). University of Texas – Austin. Retrieved from http://hdl.handle.net/2152/46874

Chicago Manual of Style (16^{th} Edition):

Kamensky, David Michael. “Immersogeometric fluid–structure interaction analysis of bioprosthetic heart valves.” 2016. Doctoral Dissertation, University of Texas – Austin. Accessed April 14, 2021. http://hdl.handle.net/2152/46874.

MLA Handbook (7^{th} Edition):

Kamensky, David Michael. “Immersogeometric fluid–structure interaction analysis of bioprosthetic heart valves.” 2016. Web. 14 Apr 2021.

Vancouver:

Kamensky DM. Immersogeometric fluid–structure interaction analysis of bioprosthetic heart valves. [Internet] [Doctoral dissertation]. University of Texas – Austin; 2016. [cited 2021 Apr 14]. Available from: http://hdl.handle.net/2152/46874.

Council of Science Editors:

Kamensky DM. Immersogeometric fluid–structure interaction analysis of bioprosthetic heart valves. [Doctoral Dissertation]. University of Texas – Austin; 2016. Available from: http://hdl.handle.net/2152/46874

4. -4190-6493. Dynamically adaptive data-driven simulation of extreme hydrological flows.

Degree: PhD, Engineering Mechanics, 2019, University of Texas – Austin

URL: http://dx.doi.org/10.26153/tsw/3153

► Hydrological hazards such as storm surges, tsunamis, and rainfall-induced flooding are physically complex events that are costly in loss of human life and economic productivity.…
(more)

Subjects/Keywords: Data assimilation; Ensemble Kalman filter; Adaptive mesh refinement; Tsunami; Okada model; Shallow water equations; Uncertainty quantification

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APA (6^{th} Edition):

-4190-6493. (2019). Dynamically adaptive data-driven simulation of extreme hydrological flows. (Doctoral Dissertation). University of Texas – Austin. Retrieved from http://dx.doi.org/10.26153/tsw/3153

Author name may be incomplete

Chicago Manual of Style (16^{th} Edition):

-4190-6493. “Dynamically adaptive data-driven simulation of extreme hydrological flows.” 2019. Doctoral Dissertation, University of Texas – Austin. Accessed April 14, 2021. http://dx.doi.org/10.26153/tsw/3153.

Author name may be incomplete

MLA Handbook (7^{th} Edition):

-4190-6493. “Dynamically adaptive data-driven simulation of extreme hydrological flows.” 2019. Web. 14 Apr 2021.

Author name may be incomplete

Vancouver:

-4190-6493. Dynamically adaptive data-driven simulation of extreme hydrological flows. [Internet] [Doctoral dissertation]. University of Texas – Austin; 2019. [cited 2021 Apr 14]. Available from: http://dx.doi.org/10.26153/tsw/3153.

Author name may be incomplete

Council of Science Editors:

-4190-6493. Dynamically adaptive data-driven simulation of extreme hydrological flows. [Doctoral Dissertation]. University of Texas – Austin; 2019. Available from: http://dx.doi.org/10.26153/tsw/3153

Author name may be incomplete

University of Texas – Austin

5. Toshniwal, Deepesh. Isogeometric Analysis : study of non-uniform degree and unstructured splines, and application to phase field modeling of corrosion.

Degree: PhD, Computational Science, Engineering, and Mathematics, 2019, University of Texas – Austin

URL: http://dx.doi.org/10.26153/tsw/4799

► Isogeometric Analysis or IGA was introduced by *Hughes* et al. (2005) to facilitate efficient design-through-analysis cycles for engineered objects. The goal of this technology is…
(more)

Subjects/Keywords: Isogeometric Analysis; Finite elements; Smooth splines; Unstructured meshes; Non-uniform degree splines; Dimension formula; Corrosion modeling

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Toshniwal, D. (2019). Isogeometric Analysis : study of non-uniform degree and unstructured splines, and application to phase field modeling of corrosion. (Doctoral Dissertation). University of Texas – Austin. Retrieved from http://dx.doi.org/10.26153/tsw/4799

Chicago Manual of Style (16^{th} Edition):

Toshniwal, Deepesh. “Isogeometric Analysis : study of non-uniform degree and unstructured splines, and application to phase field modeling of corrosion.” 2019. Doctoral Dissertation, University of Texas – Austin. Accessed April 14, 2021. http://dx.doi.org/10.26153/tsw/4799.

MLA Handbook (7^{th} Edition):

Toshniwal, Deepesh. “Isogeometric Analysis : study of non-uniform degree and unstructured splines, and application to phase field modeling of corrosion.” 2019. Web. 14 Apr 2021.

Vancouver:

Toshniwal D. Isogeometric Analysis : study of non-uniform degree and unstructured splines, and application to phase field modeling of corrosion. [Internet] [Doctoral dissertation]. University of Texas – Austin; 2019. [cited 2021 Apr 14]. Available from: http://dx.doi.org/10.26153/tsw/4799.

Council of Science Editors:

Toshniwal D. Isogeometric Analysis : study of non-uniform degree and unstructured splines, and application to phase field modeling of corrosion. [Doctoral Dissertation]. University of Texas – Austin; 2019. Available from: http://dx.doi.org/10.26153/tsw/4799

6. -1325-4005. Inverse problems for basal properties in a thermomechanically coupled ice sheet model.

Degree: PhD, Computational Science, Engineering, and Mathematics, 2017, University of Texas – Austin

URL: http://hdl.handle.net/2152/61822

► Polar ice sheets are losing mass at a growing rate, and are likely to make a dominant contribution to 21st century sea-level rise. Thus, modeling…
(more)

Subjects/Keywords: Inverse problem; Thermomechanically coupled model; Complementarity conditions; Ice sheet

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APA (6^{th} Edition):

-1325-4005. (2017). Inverse problems for basal properties in a thermomechanically coupled ice sheet model. (Doctoral Dissertation). University of Texas – Austin. Retrieved from http://hdl.handle.net/2152/61822

Author name may be incomplete

Chicago Manual of Style (16^{th} Edition):

-1325-4005. “Inverse problems for basal properties in a thermomechanically coupled ice sheet model.” 2017. Doctoral Dissertation, University of Texas – Austin. Accessed April 14, 2021. http://hdl.handle.net/2152/61822.

Author name may be incomplete

MLA Handbook (7^{th} Edition):

-1325-4005. “Inverse problems for basal properties in a thermomechanically coupled ice sheet model.” 2017. Web. 14 Apr 2021.

Author name may be incomplete

Vancouver:

-1325-4005. Inverse problems for basal properties in a thermomechanically coupled ice sheet model. [Internet] [Doctoral dissertation]. University of Texas – Austin; 2017. [cited 2021 Apr 14]. Available from: http://hdl.handle.net/2152/61822.

Author name may be incomplete

Council of Science Editors:

-1325-4005. Inverse problems for basal properties in a thermomechanically coupled ice sheet model. [Doctoral Dissertation]. University of Texas – Austin; 2017. Available from: http://hdl.handle.net/2152/61822

Author name may be incomplete

University of Texas – Austin

7. Evans, John Andrews. Divergence-free B-spline discretizations for viscous incompressible flows.

Degree: PhD, Computational and Applied Mathematics, 2011, University of Texas – Austin

URL: http://hdl.handle.net/2152/ETD-UT-2011-12-4506

► The incompressible Navier-Stokes equations are among the most important partial differential systems arising from classical physics. They are utilized to model a wide range of…
(more)

Subjects/Keywords: Incompressible Navier-Stokes equations; B-splines; Mixed discretizations

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Evans, J. A. (2011). Divergence-free B-spline discretizations for viscous incompressible flows. (Doctoral Dissertation). University of Texas – Austin. Retrieved from http://hdl.handle.net/2152/ETD-UT-2011-12-4506

Chicago Manual of Style (16^{th} Edition):

Evans, John Andrews. “Divergence-free B-spline discretizations for viscous incompressible flows.” 2011. Doctoral Dissertation, University of Texas – Austin. Accessed April 14, 2021. http://hdl.handle.net/2152/ETD-UT-2011-12-4506.

MLA Handbook (7^{th} Edition):

Evans, John Andrews. “Divergence-free B-spline discretizations for viscous incompressible flows.” 2011. Web. 14 Apr 2021.

Vancouver:

Evans JA. Divergence-free B-spline discretizations for viscous incompressible flows. [Internet] [Doctoral dissertation]. University of Texas – Austin; 2011. [cited 2021 Apr 14]. Available from: http://hdl.handle.net/2152/ETD-UT-2011-12-4506.

Council of Science Editors:

Evans JA. Divergence-free B-spline discretizations for viscous incompressible flows. [Doctoral Dissertation]. University of Texas – Austin; 2011. Available from: http://hdl.handle.net/2152/ETD-UT-2011-12-4506

University of Texas – Austin

8. -4039-082X. Various applications of discontinuous Petrov-Galerkin (DPG) finite element methods.

Degree: PhD, Computational Science, Engineering, and Mathematics, 2018, University of Texas – Austin

URL: http://hdl.handle.net/2152/65710

► Discontinuous Petrov-Galerkin (DPG) finite element methods have garnered significant attention since they were originally introduced. They discretize variational formulations with broken (discontinuous) test spaces and…
(more)

Subjects/Keywords: Finite element methods; Numerical analysis; Computational mathematics; PDEs; DPG methods; DLS methods; PolyDPG methods; Linear elasticity; Viscoelasticity; Thermoviscoelasticity; DMA experiments; Form-wound coils

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

-4039-082X. (2018). Various applications of discontinuous Petrov-Galerkin (DPG) finite element methods. (Doctoral Dissertation). University of Texas – Austin. Retrieved from http://hdl.handle.net/2152/65710

Author name may be incomplete

Chicago Manual of Style (16^{th} Edition):

-4039-082X. “Various applications of discontinuous Petrov-Galerkin (DPG) finite element methods.” 2018. Doctoral Dissertation, University of Texas – Austin. Accessed April 14, 2021. http://hdl.handle.net/2152/65710.

Author name may be incomplete

MLA Handbook (7^{th} Edition):

-4039-082X. “Various applications of discontinuous Petrov-Galerkin (DPG) finite element methods.” 2018. Web. 14 Apr 2021.

Author name may be incomplete

Vancouver:

-4039-082X. Various applications of discontinuous Petrov-Galerkin (DPG) finite element methods. [Internet] [Doctoral dissertation]. University of Texas – Austin; 2018. [cited 2021 Apr 14]. Available from: http://hdl.handle.net/2152/65710.

Author name may be incomplete

Council of Science Editors:

-4039-082X. Various applications of discontinuous Petrov-Galerkin (DPG) finite element methods. [Doctoral Dissertation]. University of Texas – Austin; 2018. Available from: http://hdl.handle.net/2152/65710

Author name may be incomplete

University of Texas – Austin

9. Nugen, Frederick Theodore. Advances in saccular aneurysm biomechanics : enlargement via rate-sensitive inelastic growth, bio-mathematical stages of aneurysm disease, and initiation profiles.

Degree: PhD, Mechanical engineering, 2016, University of Texas – Austin

URL: http://hdl.handle.net/2152/45553

► I have created the first simulation of saccular aneurysm initiation and development from a healthy artery geometry. It is capable of growing saccular aneurysm geometries…
(more)

Subjects/Keywords: Saccular aneurysm initiation; Saccular aneurysm; Cranial aneurysm; Aneurysm; Arterial modeling; Inelasticity; Rate-sensitive hyperelasticity; Collagen fibers; Aneurysm stages; Isogeometric analysis; Numerical simulation; Cardiovascular engineering; Computational medicine

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APA (6^{th} Edition):

Nugen, F. T. (2016). Advances in saccular aneurysm biomechanics : enlargement via rate-sensitive inelastic growth, bio-mathematical stages of aneurysm disease, and initiation profiles. (Doctoral Dissertation). University of Texas – Austin. Retrieved from http://hdl.handle.net/2152/45553

Chicago Manual of Style (16^{th} Edition):

Nugen, Frederick Theodore. “Advances in saccular aneurysm biomechanics : enlargement via rate-sensitive inelastic growth, bio-mathematical stages of aneurysm disease, and initiation profiles.” 2016. Doctoral Dissertation, University of Texas – Austin. Accessed April 14, 2021. http://hdl.handle.net/2152/45553.

MLA Handbook (7^{th} Edition):

Nugen, Frederick Theodore. “Advances in saccular aneurysm biomechanics : enlargement via rate-sensitive inelastic growth, bio-mathematical stages of aneurysm disease, and initiation profiles.” 2016. Web. 14 Apr 2021.

Vancouver:

Nugen FT. Advances in saccular aneurysm biomechanics : enlargement via rate-sensitive inelastic growth, bio-mathematical stages of aneurysm disease, and initiation profiles. [Internet] [Doctoral dissertation]. University of Texas – Austin; 2016. [cited 2021 Apr 14]. Available from: http://hdl.handle.net/2152/45553.

Council of Science Editors:

Nugen FT. Advances in saccular aneurysm biomechanics : enlargement via rate-sensitive inelastic growth, bio-mathematical stages of aneurysm disease, and initiation profiles. [Doctoral Dissertation]. University of Texas – Austin; 2016. Available from: http://hdl.handle.net/2152/45553

10. -9567-1322. Fast integral equation solver for variable coefficient elliptic PDEs in complex geometries.

Degree: PhD, Computational Science, Engineering, and Mathematics, 2017, University of Texas – Austin

URL: http://hdl.handle.net/2152/63349

► This dissertation presents new numerical algorithms and related software for the numerical solution of elliptic boundary value problems with variable coefficients on certain classes of…
(more)

Subjects/Keywords: Elliptic boundary value problems; Fast multipole method; Integral equations

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

-9567-1322. (2017). Fast integral equation solver for variable coefficient elliptic PDEs in complex geometries. (Doctoral Dissertation). University of Texas – Austin. Retrieved from http://hdl.handle.net/2152/63349

Author name may be incomplete

Chicago Manual of Style (16^{th} Edition):

-9567-1322. “Fast integral equation solver for variable coefficient elliptic PDEs in complex geometries.” 2017. Doctoral Dissertation, University of Texas – Austin. Accessed April 14, 2021. http://hdl.handle.net/2152/63349.

Author name may be incomplete

MLA Handbook (7^{th} Edition):

-9567-1322. “Fast integral equation solver for variable coefficient elliptic PDEs in complex geometries.” 2017. Web. 14 Apr 2021.

Author name may be incomplete

Vancouver:

-9567-1322. Fast integral equation solver for variable coefficient elliptic PDEs in complex geometries. [Internet] [Doctoral dissertation]. University of Texas – Austin; 2017. [cited 2021 Apr 14]. Available from: http://hdl.handle.net/2152/63349.

Author name may be incomplete

Council of Science Editors:

-9567-1322. Fast integral equation solver for variable coefficient elliptic PDEs in complex geometries. [Doctoral Dissertation]. University of Texas – Austin; 2017. Available from: http://hdl.handle.net/2152/63349

Author name may be incomplete

University of Texas – Austin

11. Taus, Matthias Franz. Isogeometric Analysis for boundary integral equations.

Degree: PhD, Computational Science, Engineering, and Mathematics, 2015, University of Texas – Austin

URL: http://hdl.handle.net/2152/32824

► Since its emergence, Isogeometric Analysis (IgA) has initiated a revolution within the field of Finite Element Methods (FEMs) for two reasons: (i) geometry descriptions originating…
(more)

Subjects/Keywords: Boundary integral equations; Isogeometric Analysis; Boundary element methods; Isogeometric boundary element methods; Collocation

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APA (6^{th} Edition):

Taus, M. F. (2015). Isogeometric Analysis for boundary integral equations. (Doctoral Dissertation). University of Texas – Austin. Retrieved from http://hdl.handle.net/2152/32824

Chicago Manual of Style (16^{th} Edition):

Taus, Matthias Franz. “Isogeometric Analysis for boundary integral equations.” 2015. Doctoral Dissertation, University of Texas – Austin. Accessed April 14, 2021. http://hdl.handle.net/2152/32824.

MLA Handbook (7^{th} Edition):

Taus, Matthias Franz. “Isogeometric Analysis for boundary integral equations.” 2015. Web. 14 Apr 2021.

Vancouver:

Taus MF. Isogeometric Analysis for boundary integral equations. [Internet] [Doctoral dissertation]. University of Texas – Austin; 2015. [cited 2021 Apr 14]. Available from: http://hdl.handle.net/2152/32824.

Council of Science Editors:

Taus MF. Isogeometric Analysis for boundary integral equations. [Doctoral Dissertation]. University of Texas – Austin; 2015. Available from: http://hdl.handle.net/2152/32824

University of Texas – Austin

12. Hossain, Shaolie Samira. Mathematical modeling of coupled drug and drug-encapsulated nanoparticle transport in patient-specific coronary artery walls.

Degree: PhD, Mechanical Engineering, 2009, University of Texas – Austin

URL: http://hdl.handle.net/2152/7861

► A vast majority of heart attacks occur due to rapid progression of plaque buildup in the coronary arteries that supply blood to the heart muscles.…
(more)

Subjects/Keywords: Nanoparticles; Drug transport; Coupled transport; Drug-encapsulated nanoparticles; Arteries; Heart disease; Atherosclerotic plaque; Drug delivery

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Hossain, S. S. (2009). Mathematical modeling of coupled drug and drug-encapsulated nanoparticle transport in patient-specific coronary artery walls. (Doctoral Dissertation). University of Texas – Austin. Retrieved from http://hdl.handle.net/2152/7861

Chicago Manual of Style (16^{th} Edition):

Hossain, Shaolie Samira. “Mathematical modeling of coupled drug and drug-encapsulated nanoparticle transport in patient-specific coronary artery walls.” 2009. Doctoral Dissertation, University of Texas – Austin. Accessed April 14, 2021. http://hdl.handle.net/2152/7861.

MLA Handbook (7^{th} Edition):

Hossain, Shaolie Samira. “Mathematical modeling of coupled drug and drug-encapsulated nanoparticle transport in patient-specific coronary artery walls.” 2009. Web. 14 Apr 2021.

Vancouver:

Hossain SS. Mathematical modeling of coupled drug and drug-encapsulated nanoparticle transport in patient-specific coronary artery walls. [Internet] [Doctoral dissertation]. University of Texas – Austin; 2009. [cited 2021 Apr 14]. Available from: http://hdl.handle.net/2152/7861.

Council of Science Editors:

Hossain SS. Mathematical modeling of coupled drug and drug-encapsulated nanoparticle transport in patient-specific coronary artery walls. [Doctoral Dissertation]. University of Texas – Austin; 2009. Available from: http://hdl.handle.net/2152/7861

University of Texas – Austin

13. Cottrell, John Austin, 1980-. Isogeometric analysis and numerical modeling of the fine scales within the variational multiscale method.

Degree: PhD, Computational and Applied Mathematics, 2007, University of Texas – Austin

URL: http://hdl.handle.net/2152/3190

► This work discusses isogeometric analysis as a promising alternative to standard finite element analysis. Isogeometric analysis has emerged from the idea that the act of…
(more)

Subjects/Keywords: Numerical analysis

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APA (6^{th} Edition):

Cottrell, John Austin, 1. (2007). Isogeometric analysis and numerical modeling of the fine scales within the variational multiscale method. (Doctoral Dissertation). University of Texas – Austin. Retrieved from http://hdl.handle.net/2152/3190

Chicago Manual of Style (16^{th} Edition):

Cottrell, John Austin, 1980-. “Isogeometric analysis and numerical modeling of the fine scales within the variational multiscale method.” 2007. Doctoral Dissertation, University of Texas – Austin. Accessed April 14, 2021. http://hdl.handle.net/2152/3190.

MLA Handbook (7^{th} Edition):

Cottrell, John Austin, 1980-. “Isogeometric analysis and numerical modeling of the fine scales within the variational multiscale method.” 2007. Web. 14 Apr 2021.

Vancouver:

Cottrell, John Austin 1. Isogeometric analysis and numerical modeling of the fine scales within the variational multiscale method. [Internet] [Doctoral dissertation]. University of Texas – Austin; 2007. [cited 2021 Apr 14]. Available from: http://hdl.handle.net/2152/3190.

Council of Science Editors:

Cottrell, John Austin 1. Isogeometric analysis and numerical modeling of the fine scales within the variational multiscale method. [Doctoral Dissertation]. University of Texas – Austin; 2007. Available from: http://hdl.handle.net/2152/3190

University of Texas – Austin

14. Bazilevs, Jurijs. Isogeometric analysis of turbulence and fluid-structure interaction.

Degree: PhD, Computational and Applied Mathematics, 2006, University of Texas – Austin

URL: http://hdl.handle.net/2152/2677

► This work puts Isogeometric Analysis, a new analysis framework for computational engineering and sciences, on a firm mathematical foundation. FEM-like theory is developed in which…
(more)

Subjects/Keywords: Finite element method; Fluid-structure interaction – Mathematical models; Turbulence – Mathematical models

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Bazilevs, J. (2006). Isogeometric analysis of turbulence and fluid-structure interaction. (Doctoral Dissertation). University of Texas – Austin. Retrieved from http://hdl.handle.net/2152/2677

Chicago Manual of Style (16^{th} Edition):

Bazilevs, Jurijs. “Isogeometric analysis of turbulence and fluid-structure interaction.” 2006. Doctoral Dissertation, University of Texas – Austin. Accessed April 14, 2021. http://hdl.handle.net/2152/2677.

MLA Handbook (7^{th} Edition):

Bazilevs, Jurijs. “Isogeometric analysis of turbulence and fluid-structure interaction.” 2006. Web. 14 Apr 2021.

Vancouver:

Bazilevs J. Isogeometric analysis of turbulence and fluid-structure interaction. [Internet] [Doctoral dissertation]. University of Texas – Austin; 2006. [cited 2021 Apr 14]. Available from: http://hdl.handle.net/2152/2677.

Council of Science Editors:

Bazilevs J. Isogeometric analysis of turbulence and fluid-structure interaction. [Doctoral Dissertation]. University of Texas – Austin; 2006. Available from: http://hdl.handle.net/2152/2677

15. Scott, Michael Andrew. T-splines as a design-through-analysis technology.

Degree: PhD, Computational and Applied Mathematics, 2011, University of Texas – Austin

URL: http://hdl.handle.net/2152/ETD-UT-2011-08-3795

► To simulate increasingly complex physical phenomena and systems, tightly integrated design-through-analysis (DTA) tools are essential. In this dissertation, the complementary strengths of isogeometric analysis and…
(more)

Subjects/Keywords: Isogeometric analysis; T-splines; Design-through-analysis; Local refinement; Fracture; Extraordinary points; Bézier extraction

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Scott, M. A. (2011). T-splines as a design-through-analysis technology. (Doctoral Dissertation). University of Texas – Austin. Retrieved from http://hdl.handle.net/2152/ETD-UT-2011-08-3795

Chicago Manual of Style (16^{th} Edition):

Scott, Michael Andrew. “T-splines as a design-through-analysis technology.” 2011. Doctoral Dissertation, University of Texas – Austin. Accessed April 14, 2021. http://hdl.handle.net/2152/ETD-UT-2011-08-3795.

MLA Handbook (7^{th} Edition):

Scott, Michael Andrew. “T-splines as a design-through-analysis technology.” 2011. Web. 14 Apr 2021.

Vancouver:

Scott MA. T-splines as a design-through-analysis technology. [Internet] [Doctoral dissertation]. University of Texas – Austin; 2011. [cited 2021 Apr 14]. Available from: http://hdl.handle.net/2152/ETD-UT-2011-08-3795.

Council of Science Editors:

Scott MA. T-splines as a design-through-analysis technology. [Doctoral Dissertation]. University of Texas – Austin; 2011. Available from: http://hdl.handle.net/2152/ETD-UT-2011-08-3795

16. Borden, Michael Johns. Isogeometric analysis of phase-field models for dynamic brittle and ductile fracture.

Degree: PhD, Computational and Applied Mathematics, 2012, University of Texas – Austin

URL: http://hdl.handle.net/2152/ETD-UT-2012-08-6113

► To date, efforts to model fracture and crack propagation have focused on two broad approaches: discrete and continuum damage descriptions. The discrete approach incorporates a…
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Subjects/Keywords: Fracture; Phase-field; Brittle fracture; Ductile fracture; Isogeometric analysis; Bezier extraction

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Borden, M. J. (2012). Isogeometric analysis of phase-field models for dynamic brittle and ductile fracture. (Doctoral Dissertation). University of Texas – Austin. Retrieved from http://hdl.handle.net/2152/ETD-UT-2012-08-6113

Chicago Manual of Style (16^{th} Edition):

Borden, Michael Johns. “Isogeometric analysis of phase-field models for dynamic brittle and ductile fracture.” 2012. Doctoral Dissertation, University of Texas – Austin. Accessed April 14, 2021. http://hdl.handle.net/2152/ETD-UT-2012-08-6113.

MLA Handbook (7^{th} Edition):

Borden, Michael Johns. “Isogeometric analysis of phase-field models for dynamic brittle and ductile fracture.” 2012. Web. 14 Apr 2021.

Vancouver:

Borden MJ. Isogeometric analysis of phase-field models for dynamic brittle and ductile fracture. [Internet] [Doctoral dissertation]. University of Texas – Austin; 2012. [cited 2021 Apr 14]. Available from: http://hdl.handle.net/2152/ETD-UT-2012-08-6113.

Council of Science Editors:

Borden MJ. Isogeometric analysis of phase-field models for dynamic brittle and ductile fracture. [Doctoral Dissertation]. University of Texas – Austin; 2012. Available from: http://hdl.handle.net/2152/ETD-UT-2012-08-6113