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Delft University of Technology

1. Diao, H. (author). Fourier Analysis of Iterative Methods for the Helmholtz Problem.

Degree: 2012, Delft University of Technology

URL: http://resolver.tudelft.nl/uuid:d82de64b-b446-4df6-b335-36a3e058c8f8

►

This thesis attempts to explain the convergence behaviour of solving Helmholtz problem by investigating its spectral properties. Fourier analysis is employ to solve the eigenvalues… (more)

Subjects/Keywords: Helmholtz problem; Krylov subspace methods; multigrid method; multilevel Krylov multigrid method; shifted Laplacian preconditioner; deflation operator; Fourier analysis

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

APA (6^{th} Edition):

Diao, H. (. (2012). Fourier Analysis of Iterative Methods for the Helmholtz Problem. (Masters Thesis). Delft University of Technology. Retrieved from http://resolver.tudelft.nl/uuid:d82de64b-b446-4df6-b335-36a3e058c8f8

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

Diao, H (author). “Fourier Analysis of Iterative Methods for the Helmholtz Problem.” 2012. Masters Thesis, Delft University of Technology. Accessed April 11, 2021. http://resolver.tudelft.nl/uuid:d82de64b-b446-4df6-b335-36a3e058c8f8.

MLA Handbook (7^{th} Edition):

Diao, H (author). “Fourier Analysis of Iterative Methods for the Helmholtz Problem.” 2012. Web. 11 Apr 2021.

Vancouver:

Diao H(. Fourier Analysis of Iterative Methods for the Helmholtz Problem. [Internet] [Masters thesis]. Delft University of Technology; 2012. [cited 2021 Apr 11]. Available from: http://resolver.tudelft.nl/uuid:d82de64b-b446-4df6-b335-36a3e058c8f8.

Council of Science Editors:

Diao H(. Fourier Analysis of Iterative Methods for the Helmholtz Problem. [Masters Thesis]. Delft University of Technology; 2012. Available from: http://resolver.tudelft.nl/uuid:d82de64b-b446-4df6-b335-36a3e058c8f8

Delft University of Technology

2. Sangers, A. (author). Enhancing iterative solution methods for general FEM computations using rigid body modes.

Degree: 2014, Delft University of Technology

URL: http://resolver.tudelft.nl/uuid:8c564409-ed5a-4ca5-b55f-b85e16814076

Applied Mathematics

Numerical Analysis

Electrical Engineering, Mathematics and Computer Science

Subjects/Keywords: Rigid body modes; Approximate rigid body; Deflation; Coarse grid correction; FEM; Finite elements; Iterative solution method

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

APA (6^{th} Edition):

Sangers, A. (. (2014). Enhancing iterative solution methods for general FEM computations using rigid body modes. (Masters Thesis). Delft University of Technology. Retrieved from http://resolver.tudelft.nl/uuid:8c564409-ed5a-4ca5-b55f-b85e16814076

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

Sangers, A (author). “Enhancing iterative solution methods for general FEM computations using rigid body modes.” 2014. Masters Thesis, Delft University of Technology. Accessed April 11, 2021. http://resolver.tudelft.nl/uuid:8c564409-ed5a-4ca5-b55f-b85e16814076.

MLA Handbook (7^{th} Edition):

Sangers, A (author). “Enhancing iterative solution methods for general FEM computations using rigid body modes.” 2014. Web. 11 Apr 2021.

Vancouver:

Sangers A(. Enhancing iterative solution methods for general FEM computations using rigid body modes. [Internet] [Masters thesis]. Delft University of Technology; 2014. [cited 2021 Apr 11]. Available from: http://resolver.tudelft.nl/uuid:8c564409-ed5a-4ca5-b55f-b85e16814076.

Council of Science Editors:

Sangers A(. Enhancing iterative solution methods for general FEM computations using rigid body modes. [Masters Thesis]. Delft University of Technology; 2014. Available from: http://resolver.tudelft.nl/uuid:8c564409-ed5a-4ca5-b55f-b85e16814076

3. Malandain, Mathias. Simulations massivement parallèles des écoulements turbulents à faible nombre de Mach : Massively parallel simulation of low-Mach number turbulent flow.

Degree: Docteur es, Sciences pour l'ingénieur, 2013, Rouen, INSA

URL: http://www.theses.fr/2013ISAM0006

►

L'objectif de cette thèse est l'accélération des solveurs de Gradient Conjugué avec déflation utilisés pour la résolution de l'équation de Poisson pour la pression, dans… (more)

Subjects/Keywords: Mécanique des fluides numériques; Gradients conjugués; Méthode de déflation; Analyse numérique; Méthodes multiniveaux; Conjugate gradient; Low-Mach number; Turbulents flows; Digital fluid mechanics; Deflation method

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

APA (6^{th} Edition):

Malandain, M. (2013). Simulations massivement parallèles des écoulements turbulents à faible nombre de Mach : Massively parallel simulation of low-Mach number turbulent flow. (Doctoral Dissertation). Rouen, INSA. Retrieved from http://www.theses.fr/2013ISAM0006

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

Malandain, Mathias. “Simulations massivement parallèles des écoulements turbulents à faible nombre de Mach : Massively parallel simulation of low-Mach number turbulent flow.” 2013. Doctoral Dissertation, Rouen, INSA. Accessed April 11, 2021. http://www.theses.fr/2013ISAM0006.

MLA Handbook (7^{th} Edition):

Malandain, Mathias. “Simulations massivement parallèles des écoulements turbulents à faible nombre de Mach : Massively parallel simulation of low-Mach number turbulent flow.” 2013. Web. 11 Apr 2021.

Vancouver:

Malandain M. Simulations massivement parallèles des écoulements turbulents à faible nombre de Mach : Massively parallel simulation of low-Mach number turbulent flow. [Internet] [Doctoral dissertation]. Rouen, INSA; 2013. [cited 2021 Apr 11]. Available from: http://www.theses.fr/2013ISAM0006.

Council of Science Editors:

Malandain M. Simulations massivement parallèles des écoulements turbulents à faible nombre de Mach : Massively parallel simulation of low-Mach number turbulent flow. [Doctoral Dissertation]. Rouen, INSA; 2013. Available from: http://www.theses.fr/2013ISAM0006

Delft University of Technology

4.
Sheikh, A.H.
Development Of The Helmholtz Solver Based On A Shifted Laplace Preconditioner And A Multigrid *Deflation* Technique.

Degree: 2014, Delft University of Technology

URL: http://resolver.tudelft.nl/uuid:1020f418-b488-4435-81ee-2b4f6a5024e1 ; urn:NBN:nl:ui:24-uuid:1020f418-b488-4435-81ee-2b4f6a5024e1 ; urn:NBN:nl:ui:24-uuid:1020f418-b488-4435-81ee-2b4f6a5024e1 ; http://resolver.tudelft.nl/uuid:1020f418-b488-4435-81ee-2b4f6a5024e1

► The Helmholtz equation is the simplest possible model for the wave propagation. Perhaps this is the reason, despite denying traditional iterative methods like Krylov sub-space…
(more)

Subjects/Keywords: Helmholtz; multigrid methods; Krylov; iterative solvers; wave equations; deflation method; multilevel methods

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

APA (6^{th} Edition):

Sheikh, A. H. (2014). Development Of The Helmholtz Solver Based On A Shifted Laplace Preconditioner And A Multigrid Deflation Technique. (Doctoral Dissertation). Delft University of Technology. Retrieved from http://resolver.tudelft.nl/uuid:1020f418-b488-4435-81ee-2b4f6a5024e1 ; urn:NBN:nl:ui:24-uuid:1020f418-b488-4435-81ee-2b4f6a5024e1 ; urn:NBN:nl:ui:24-uuid:1020f418-b488-4435-81ee-2b4f6a5024e1 ; http://resolver.tudelft.nl/uuid:1020f418-b488-4435-81ee-2b4f6a5024e1

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

Sheikh, A H. “Development Of The Helmholtz Solver Based On A Shifted Laplace Preconditioner And A Multigrid Deflation Technique.” 2014. Doctoral Dissertation, Delft University of Technology. Accessed April 11, 2021. http://resolver.tudelft.nl/uuid:1020f418-b488-4435-81ee-2b4f6a5024e1 ; urn:NBN:nl:ui:24-uuid:1020f418-b488-4435-81ee-2b4f6a5024e1 ; urn:NBN:nl:ui:24-uuid:1020f418-b488-4435-81ee-2b4f6a5024e1 ; http://resolver.tudelft.nl/uuid:1020f418-b488-4435-81ee-2b4f6a5024e1.

MLA Handbook (7^{th} Edition):

Sheikh, A H. “Development Of The Helmholtz Solver Based On A Shifted Laplace Preconditioner And A Multigrid Deflation Technique.” 2014. Web. 11 Apr 2021.

Vancouver:

Sheikh AH. Development Of The Helmholtz Solver Based On A Shifted Laplace Preconditioner And A Multigrid Deflation Technique. [Internet] [Doctoral dissertation]. Delft University of Technology; 2014. [cited 2021 Apr 11]. Available from: http://resolver.tudelft.nl/uuid:1020f418-b488-4435-81ee-2b4f6a5024e1 ; urn:NBN:nl:ui:24-uuid:1020f418-b488-4435-81ee-2b4f6a5024e1 ; urn:NBN:nl:ui:24-uuid:1020f418-b488-4435-81ee-2b4f6a5024e1 ; http://resolver.tudelft.nl/uuid:1020f418-b488-4435-81ee-2b4f6a5024e1.

Council of Science Editors:

Sheikh AH. Development Of The Helmholtz Solver Based On A Shifted Laplace Preconditioner And A Multigrid Deflation Technique. [Doctoral Dissertation]. Delft University of Technology; 2014. Available from: http://resolver.tudelft.nl/uuid:1020f418-b488-4435-81ee-2b4f6a5024e1 ; urn:NBN:nl:ui:24-uuid:1020f418-b488-4435-81ee-2b4f6a5024e1 ; urn:NBN:nl:ui:24-uuid:1020f418-b488-4435-81ee-2b4f6a5024e1 ; http://resolver.tudelft.nl/uuid:1020f418-b488-4435-81ee-2b4f6a5024e1

5. Porter, Andrew. Pooling Methods and Similarity Measures for Fractional Factorial Designs in the Presence of an Auxiliary Variable.

Degree: MS, Department of Mathematics and Statistics, 2017, University of Guelph

URL: https://atrium.lib.uoguelph.ca/xmlui/handle/10214/10444

► It is well-known that the standard mean squared error obtained from a half fractional factorial provides a conservative estimate of the error variance, which can…
(more)

Subjects/Keywords: Fractional Factorial Designs; Error Pooling Methods; Auxiliary Variable; Deflation Method; Adjusted Method

…2.2.2
*Deflation* *Method*
The next alternative pooling structure to be analyzed will be referred… …to as
the *deflation* *method*. This process requires the researcher to first calculate a… …unadjusted *method* for the fractional factorial design.
The notation for the *Deflation* statistic is… …statistic.
The main potential drawback of this *method* will be an over *deflation* of the
MSE in the… …methods for each of
the response variables in the real data sets. The *deflation* *method* has good…

Record Details Similar Records

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

APA (6^{th} Edition):

Porter, A. (2017). Pooling Methods and Similarity Measures for Fractional Factorial Designs in the Presence of an Auxiliary Variable. (Masters Thesis). University of Guelph. Retrieved from https://atrium.lib.uoguelph.ca/xmlui/handle/10214/10444

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

Porter, Andrew. “Pooling Methods and Similarity Measures for Fractional Factorial Designs in the Presence of an Auxiliary Variable.” 2017. Masters Thesis, University of Guelph. Accessed April 11, 2021. https://atrium.lib.uoguelph.ca/xmlui/handle/10214/10444.

MLA Handbook (7^{th} Edition):

Porter, Andrew. “Pooling Methods and Similarity Measures for Fractional Factorial Designs in the Presence of an Auxiliary Variable.” 2017. Web. 11 Apr 2021.

Vancouver:

Porter A. Pooling Methods and Similarity Measures for Fractional Factorial Designs in the Presence of an Auxiliary Variable. [Internet] [Masters thesis]. University of Guelph; 2017. [cited 2021 Apr 11]. Available from: https://atrium.lib.uoguelph.ca/xmlui/handle/10214/10444.

Council of Science Editors:

Porter A. Pooling Methods and Similarity Measures for Fractional Factorial Designs in the Presence of an Auxiliary Variable. [Masters Thesis]. University of Guelph; 2017. Available from: https://atrium.lib.uoguelph.ca/xmlui/handle/10214/10444

6. Kaliszka, K.B. (author). Developing a parallel solver mechanical problems.

Degree: 2010, Delft University of Technology

URL: http://resolver.tudelft.nl/uuid:cea77d32-d6df-443c-9cee-ca89e21733ac

►

In this master thesis I investigate the case of solving linear systems which correspond to mechanical problems with the use of Deflated Preconditioned Conjugate *Method*…
(more)

Subjects/Keywords: Domain Decompostion; Additive Schwarz Method; Deflation; Precondtioned Conjugate Gradient; Deflated Precondtioned Conjugate Gradient; Region Growth Algorithm

…solution for our problem. This chapter is
followed by a description of the *Deflation* *method* and… …systems of the subdomains, and the
*Deflation* *method* to improve the spread of the information… …introduction to the Finite Element *Method*,
which is done in the next chapter. After that, we are… …x28;1.8)
The Eq. (1.8) is then solved with the use of Finite Element *Method*… …Finite Element *Method*
2.1
Introduction
When dealing with partial differential equations, we…

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

APA (6^{th} Edition):

Kaliszka, K. B. (. (2010). Developing a parallel solver mechanical problems. (Masters Thesis). Delft University of Technology. Retrieved from http://resolver.tudelft.nl/uuid:cea77d32-d6df-443c-9cee-ca89e21733ac

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

Kaliszka, K B (author). “Developing a parallel solver mechanical problems.” 2010. Masters Thesis, Delft University of Technology. Accessed April 11, 2021. http://resolver.tudelft.nl/uuid:cea77d32-d6df-443c-9cee-ca89e21733ac.

MLA Handbook (7^{th} Edition):

Kaliszka, K B (author). “Developing a parallel solver mechanical problems.” 2010. Web. 11 Apr 2021.

Vancouver:

Kaliszka KB(. Developing a parallel solver mechanical problems. [Internet] [Masters thesis]. Delft University of Technology; 2010. [cited 2021 Apr 11]. Available from: http://resolver.tudelft.nl/uuid:cea77d32-d6df-443c-9cee-ca89e21733ac.

Council of Science Editors:

Kaliszka KB(. Developing a parallel solver mechanical problems. [Masters Thesis]. Delft University of Technology; 2010. Available from: http://resolver.tudelft.nl/uuid:cea77d32-d6df-443c-9cee-ca89e21733ac

Delft University of Technology

7. Tang, J.M. Two-level preconditioned conjugate gradient methods with applications to bubbly flow problems.

Degree: 2008, Delft University of Technology

URL: http://resolver.tudelft.nl/uuid:e8c5f63b-ee7d-4a59-90da-a8025f5f88b0 ; urn:NBN:nl:ui:24-uuid:e8c5f63b-ee7d-4a59-90da-a8025f5f88b0 ; urn:NBN:nl:ui:24-uuid:e8c5f63b-ee7d-4a59-90da-a8025f5f88b0 ; http://resolver.tudelft.nl/uuid:e8c5f63b-ee7d-4a59-90da-a8025f5f88b0

► The Preconditioned Conjugate Gradient (PCG) *method* is one of the most popular iterative methods for solving large linear systems with a symmetric and positive semi-definite…
(more)

Subjects/Keywords: conjugate gradient method; two-level preconditioners; deflation; domain decomposition; multigrid; bubbly flows; poisson equation with a discontinuous coefficient; singular symmetric positive semi-definite matrices

Record Details Similar Records

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

APA (6^{th} Edition):

Tang, J. M. (2008). Two-level preconditioned conjugate gradient methods with applications to bubbly flow problems. (Doctoral Dissertation). Delft University of Technology. Retrieved from http://resolver.tudelft.nl/uuid:e8c5f63b-ee7d-4a59-90da-a8025f5f88b0 ; urn:NBN:nl:ui:24-uuid:e8c5f63b-ee7d-4a59-90da-a8025f5f88b0 ; urn:NBN:nl:ui:24-uuid:e8c5f63b-ee7d-4a59-90da-a8025f5f88b0 ; http://resolver.tudelft.nl/uuid:e8c5f63b-ee7d-4a59-90da-a8025f5f88b0

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

Tang, J M. “Two-level preconditioned conjugate gradient methods with applications to bubbly flow problems.” 2008. Doctoral Dissertation, Delft University of Technology. Accessed April 11, 2021. http://resolver.tudelft.nl/uuid:e8c5f63b-ee7d-4a59-90da-a8025f5f88b0 ; urn:NBN:nl:ui:24-uuid:e8c5f63b-ee7d-4a59-90da-a8025f5f88b0 ; urn:NBN:nl:ui:24-uuid:e8c5f63b-ee7d-4a59-90da-a8025f5f88b0 ; http://resolver.tudelft.nl/uuid:e8c5f63b-ee7d-4a59-90da-a8025f5f88b0.

MLA Handbook (7^{th} Edition):

Tang, J M. “Two-level preconditioned conjugate gradient methods with applications to bubbly flow problems.” 2008. Web. 11 Apr 2021.

Vancouver:

Tang JM. Two-level preconditioned conjugate gradient methods with applications to bubbly flow problems. [Internet] [Doctoral dissertation]. Delft University of Technology; 2008. [cited 2021 Apr 11]. Available from: http://resolver.tudelft.nl/uuid:e8c5f63b-ee7d-4a59-90da-a8025f5f88b0 ; urn:NBN:nl:ui:24-uuid:e8c5f63b-ee7d-4a59-90da-a8025f5f88b0 ; urn:NBN:nl:ui:24-uuid:e8c5f63b-ee7d-4a59-90da-a8025f5f88b0 ; http://resolver.tudelft.nl/uuid:e8c5f63b-ee7d-4a59-90da-a8025f5f88b0.

Council of Science Editors:

Tang JM. Two-level preconditioned conjugate gradient methods with applications to bubbly flow problems. [Doctoral Dissertation]. Delft University of Technology; 2008. Available from: http://resolver.tudelft.nl/uuid:e8c5f63b-ee7d-4a59-90da-a8025f5f88b0 ; urn:NBN:nl:ui:24-uuid:e8c5f63b-ee7d-4a59-90da-a8025f5f88b0 ; urn:NBN:nl:ui:24-uuid:e8c5f63b-ee7d-4a59-90da-a8025f5f88b0 ; http://resolver.tudelft.nl/uuid:e8c5f63b-ee7d-4a59-90da-a8025f5f88b0