subject:(Maxwell s equations)

1. Anees, Asad. Time domain finite element method for linear and nonlinear models in electromagnetics and optics.

Degree: 2020, Technische Universität Dortmund

URL: https://doi.org/10.21268/20200414-1 ; https://nbn-resolving.org/urn:nbn:de:gbv:104-20200414-00001-1 ; https://dokumente.ub.tu-clausthal.de/receive/clausthal_mods_00001335 ; https://dokumente.ub.tu-clausthal.de/servlets/MCRFileNodeServlet/clausthal_derivate_00001066/Db114319.pdf

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In this thesis, we develop a time domain nite element method for linear and nonlinear models in Electromagnetics and Optics. In the linear case, a… (more)

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In this thesis, we develop a time domain nite element method for linear and nonlinear models in Electromagnetics and Optics. In the linear case, a weak formulation is derived for the electric and magnetic elds with ap- propriate initial and boundary conditions, and the problem is discretized both in space and time. Nedelec curl-conforming and Raviart-Thomas div- conforming nite elements are used to discretize in space the electric and magnetic elds, respectively. The backward Euler and symplectic schemes are applied to discretize the linear problem in time. For this linear system, we give a complete stability and error analysis. In addition, computational experiments are presented to validate the method; the electric and magnetic elds are visualized. The method also allows to treat complex geometries of various physical systems coupled to electromagnetic elds in 3D. In the next part of thesis, we extend the linear nite element method to time domain nite element methods for the full system of Maxwell's equa- tions with cubic nonlinearities in 3D. For the rst time, stability and error estimates are presented for this type of problem. The new capabilities of these methods are to eciently model linear and nonlinear eects of the electrical polarization. The novel strategy has been developed to bring un- der control the discrete nonlinearity model in space and time. It results in energy stable discretizations both at the semi-discrete and the fully discrete levels, with spatial discretization either using discontinuous spaces and ed- ge elements (Lee-Madsen formulation) or edge and face elements (Nedelec- Raviart-Thomas formulation). To verify the stability, a novel \nonlinear" electromagnetic energy is introduced, which is stronger than the the com- monly used (linear) electromagnetic energy. It turns out that the propo- sed time discretization scheme is unconditionally stable with respect to this energy. The presented computational experiments demonstrate that the pro- posed approaches prove to be robust and allow the modeling of 3D optical problems that can be directly derived from the full system of Maxwell's non- linear equations, and also allow the treatment of complex nonlinearities and geometries of various physical systems. In the last section of thesis, the time domain discretization for the nonli- near problem is extended to a discontinuous Galerkin nite element method in 2D. The energy of nonlinear Maxwell's equations at the continuous and discrete levels is described, and an error estimate at the semi-discrete level is demonstrated for the discontinuous Galerkin method.

In dieser Arbeit entwickeln wir eine Finite-Elemente-Methode im Zeitbereich für lineare und nichtlineare Modelle in Elektromagnetismus und Optik. Im linearen Fall wird eine schwache Formulierung für das elektrische und das magnetische Feld mit geeigneten Anfangs- und Randbedingungen abgeleitet und das Problem wird sowohl räumlich als auch zeitlich diskretisiert. Nédeléc Curl-konforme und Raviart-Thomas…

Advisors/Committee Members: Angermann, Lutz, Abedi, Reza, Ahmad, Muhammad Ozair.

Subjects/Keywords: Abschlussarbeit; doctoral thesis; ddc:510; finite element analysis – nonlinear Maxwell`s equations – discontinuous Galerkin method – Finite-Elemente-Analyse – Nichtlineare Maxwell`s Gleichungen – Diskonmtinuierliche Galerkin Verfahren

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APA (6^th Edition):

Anees, A. (2020). Time domain finite element method for linear and nonlinear models in electromagnetics and optics. (Thesis). Technische Universität Dortmund. Retrieved from https://doi.org/10.21268/20200414-1 ; https://nbn-resolving.org/urn:nbn:de:gbv:104-20200414-00001-1 ; https://dokumente.ub.tu-clausthal.de/receive/clausthal_mods_00001335 ; https://dokumente.ub.tu-clausthal.de/servlets/MCRFileNodeServlet/clausthal_derivate_00001066/Db114319.pdf

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Anees, Asad. “Time domain finite element method for linear and nonlinear models in electromagnetics and optics.” 2020. Thesis, Technische Universität Dortmund. Accessed March 08, 2021. https://doi.org/10.21268/20200414-1 ; https://nbn-resolving.org/urn:nbn:de:gbv:104-20200414-00001-1 ; https://dokumente.ub.tu-clausthal.de/receive/clausthal_mods_00001335 ; https://dokumente.ub.tu-clausthal.de/servlets/MCRFileNodeServlet/clausthal_derivate_00001066/Db114319.pdf.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Anees, Asad. “Time domain finite element method for linear and nonlinear models in electromagnetics and optics.” 2020. Web. 08 Mar 2021.

Vancouver:

Anees A. Time domain finite element method for linear and nonlinear models in electromagnetics and optics. [Internet] [Thesis]. Technische Universität Dortmund; 2020. [cited 2021 Mar 08]. Available from: https://doi.org/10.21268/20200414-1 ; https://nbn-resolving.org/urn:nbn:de:gbv:104-20200414-00001-1 ; https://dokumente.ub.tu-clausthal.de/receive/clausthal_mods_00001335 ; https://dokumente.ub.tu-clausthal.de/servlets/MCRFileNodeServlet/clausthal_derivate_00001066/Db114319.pdf.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Anees A. Time domain finite element method for linear and nonlinear models in electromagnetics and optics. [Thesis]. Technische Universität Dortmund; 2020. Available from: https://doi.org/10.21268/20200414-1 ; https://nbn-resolving.org/urn:nbn:de:gbv:104-20200414-00001-1 ; https://dokumente.ub.tu-clausthal.de/receive/clausthal_mods_00001335 ; https://dokumente.ub.tu-clausthal.de/servlets/MCRFileNodeServlet/clausthal_derivate_00001066/Db114319.pdf

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Brno University of Technology

2. Bíreš, Pavol. Numerické metody výpočtu elektromagnetického pole: Numerical method for computing electromagnetic field.

Degree: 2019, Brno University of Technology

URL: http://hdl.handle.net/11012/15787

► The aim of the work is to study the electromagnetic field theory, finite element method and the interaction of electromagnetic field with tissues. Gained knowledge… (more)

Subjects/Keywords: Elektromagnetické pole; Maxwellovy rovnice; Metoda konečných prvků; Vlnová rovnice; Matlab; Comsol Multiphysics; Electromagnetic field; Maxwell´s equations; Finite element method; Wave equation; Matlab; Comsol Multiphysics

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

APA (6^th Edition):

Bíreš, P. (2019). Numerické metody výpočtu elektromagnetického pole: Numerical method for computing electromagnetic field. (Thesis). Brno University of Technology. Retrieved from http://hdl.handle.net/11012/15787

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Bíreš, Pavol. “Numerické metody výpočtu elektromagnetického pole: Numerical method for computing electromagnetic field.” 2019. Thesis, Brno University of Technology. Accessed March 08, 2021. http://hdl.handle.net/11012/15787.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Bíreš, Pavol. “Numerické metody výpočtu elektromagnetického pole: Numerical method for computing electromagnetic field.” 2019. Web. 08 Mar 2021.

Vancouver:

Bíreš P. Numerické metody výpočtu elektromagnetického pole: Numerical method for computing electromagnetic field. [Internet] [Thesis]. Brno University of Technology; 2019. [cited 2021 Mar 08]. Available from: http://hdl.handle.net/11012/15787.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Bíreš P. Numerické metody výpočtu elektromagnetického pole: Numerical method for computing electromagnetic field. [Thesis]. Brno University of Technology; 2019. Available from: http://hdl.handle.net/11012/15787

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Colorado School of Mines

3. Yuffa, Alex J. Modern electromagnetic scattering.

Degree: PhD, Physics, 2013, Colorado School of Mines

URL: http://hdl.handle.net/11124/79528

► We develop a numerically stable algorithm for electromagnetic wave propagation through planar stratified media. This algorithm is implemented in a modern programming language and is… (more)

Subjects/Keywords: localization; left handed material; causality; electromagnetic scattering; cluster T-matrix; Electromagnetic waves – Scattering; Electromagnetic waves; Scattering (Physics); S-matrix theory; Maxwell equations; T-matrix

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

APA (6^th Edition):

Yuffa, A. J. (2013). Modern electromagnetic scattering. (Doctoral Dissertation). Colorado School of Mines. Retrieved from http://hdl.handle.net/11124/79528

Chicago Manual of Style (16^th Edition):

Yuffa, Alex J. “Modern electromagnetic scattering.” 2013. Doctoral Dissertation, Colorado School of Mines. Accessed March 08, 2021. http://hdl.handle.net/11124/79528.

MLA Handbook (7^th Edition):

Yuffa, Alex J. “Modern electromagnetic scattering.” 2013. Web. 08 Mar 2021.

Vancouver:

Yuffa AJ. Modern electromagnetic scattering. [Internet] [Doctoral dissertation]. Colorado School of Mines; 2013. [cited 2021 Mar 08]. Available from: http://hdl.handle.net/11124/79528.

Council of Science Editors:

Yuffa AJ. Modern electromagnetic scattering. [Doctoral Dissertation]. Colorado School of Mines; 2013. Available from: http://hdl.handle.net/11124/79528

Brno University of Technology

4. Kotol, Martin. Neuronové modelování elektromegnetických polí uvnitř automobilů: Neural Modeling of Electromagnetic Fields in Cars.

Degree: 2018, Brno University of Technology

URL: http://hdl.handle.net/11012/137078

► The dissertation thesis is focused on the exploitation of artificial neural networks for modeling of the electromagnetic fields inside cars. The first part of the… (more)

Subjects/Keywords: Umělá neuronová síť; dopředná síť; síť s radiální bázovou funkcí; povrchová vlna; numerické řešení Maxwellových rovnic; přenosová funkce; lokalizace pasažérů.; Artificial neural network; feed-forward network; radial basis function network; surface wave; numerical modeling of Maxwell equations; channel transfer function; localization of passengers

Record Details Similar Records Cite « Share

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

APA (6^th Edition):

Kotol, M. (2018). Neuronové modelování elektromegnetických polí uvnitř automobilů: Neural Modeling of Electromagnetic Fields in Cars. (Thesis). Brno University of Technology. Retrieved from http://hdl.handle.net/11012/137078

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Kotol, Martin. “Neuronové modelování elektromegnetických polí uvnitř automobilů: Neural Modeling of Electromagnetic Fields in Cars.” 2018. Thesis, Brno University of Technology. Accessed March 08, 2021. http://hdl.handle.net/11012/137078.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Kotol, Martin. “Neuronové modelování elektromegnetických polí uvnitř automobilů: Neural Modeling of Electromagnetic Fields in Cars.” 2018. Web. 08 Mar 2021.

Vancouver:

Kotol M. Neuronové modelování elektromegnetických polí uvnitř automobilů: Neural Modeling of Electromagnetic Fields in Cars. [Internet] [Thesis]. Brno University of Technology; 2018. [cited 2021 Mar 08]. Available from: http://hdl.handle.net/11012/137078.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Kotol M. Neuronové modelování elektromegnetických polí uvnitř automobilů: Neural Modeling of Electromagnetic Fields in Cars. [Thesis]. Brno University of Technology; 2018. Available from: http://hdl.handle.net/11012/137078

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

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