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Dissertations / Theses on the topic 'Maxwell's equations in time domain'

Author: Grafiati

Published: 8 February 2025

Last updated: 31 July 2025

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1

Meagher, Timothy P. "A New Finite Difference Time Domain Method to Solve Maxwell's Equations." PDXScholar, 2018. https://pdxscholar.library.pdx.edu/open_access_etds/4389.

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We have constructed a new finite-difference time-domain (FDTD) method in this project. Our new algorithm focuses on the most important and more challenging transverse electric (TE) case. In this case, the electric field is discontinuous across the interface between different dielectric media. We use an electric permittivity that stays as a constant in each medium, and magnetic permittivity that is constant in the whole domain. To handle the interface between different media, we introduce new effective permittivities that incorporates electromagnetic fields boundary conditions. That is, across

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2

Brookes, P. J. "Time domain methods for the solution of Maxwell's equations on unstructured grids." Thesis, Swansea University, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.636158.

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Designers of aerospace vehicle have recently highlighted computational simulations of electromagnetic systems as a key phase of the design process. Problems of interest involve the simulation of electromagnetic waves, over a wide frequency range, interacting with complex geometries of varying electrical length. This thesis represents the investigation and development of efficient numerical techniques for the simulation of time dependent electromagnetic phenomena. Unstructured grid based algorithms, which have already been successfully employed in the simulation of steady inviscid fluid flows,

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3

Kim, Joonshik. "Finite Element Time Domain Techniques for Maxwell's Equations Based on Differential Forms." The Ohio State University, 2010. http://rave.ohiolink.edu/etdc/view?acc_num=osu1293588301.

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4

Edelvik, Fredrik. "Hybrid Solvers for the Maxwell Equations in Time-Domain." Doctoral thesis, Uppsala universitet, Avdelningen för teknisk databehandling, 2002. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-2156.

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The most commonly used method for the time-domain Maxwell equations is the Finite-Difference Time-Domain method (FDTD). This is an explicit, second-order accurate method, which is used on a staggered Cartesian grid. The main drawback with the FDTD method is its inability to accurately model curved objects and small geometrical features. This is due to the Cartesian grid, which leads to a staircase approximation of the geometry and small details are not resolved at all. This thesis presents different ways to circumvent this drawback, but still take advantage of the benefits of the FDTD method.

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5

Dosopoulos, Stylianos. "Interior Penalty Discontinuous Galerkin Finite Element Method for the Time-Domain Maxwell's Equations." The Ohio State University, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=osu1337787922.

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6

Andersson, Ulf. "Time-Domain Methods for the Maxwell Equations." Doctoral thesis, Stockholm : Tekniska högsk, 2001. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-3094.

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7

Niegemann, Jens [Verfasser], and K. [Akademischer Betreuer] Busch. "Higher-Order Methods for Solving Maxwell's Equations in the Time-Domain / Jens Niegemann. Betreuer: K. Busch." Karlsruhe : KIT-Bibliothek, 2009. http://d-nb.info/1014099129/34.

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8

Boat, Matthew. "The time-domain numerical solution of Maxwell's electromagnetic equations, via the fourth order Runge-Kutta discontinuous Galerkin method." Thesis, Swansea University, 2008. https://cronfa.swan.ac.uk/Record/cronfa42532.

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This thesis presents a high-order numerical method for the Time-Domain solution of Maxwell's Electromagnetic equations in both one- and two-dimensional space. The thesis discuses the validity of high-order representation and improved boundary representation. The majority of the theory is concerned with the formulation of a high-order scheme which is capable of providing a numerical solution for specific two-dimensional scattering problems. Specifics of the theory involve the selection of a suitable numerical flux, the choice of appropriate boundary conditions, mapping between coordinate system

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9

Eng, Ju-Ling. "Higher order finite-difference time-domain method." Connect to resource, 2006. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1165607826.

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10

Kung, Christopher W. "Development of a time domain hybrid finite difference/finite element method for solutions to Maxwell's equations in anisotropic media." Columbus, Ohio : Ohio State University, 2009. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1238024768.

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11

Edelvik, Fredrik. "Finite volume solvers for the Maxwell equations in time domain." Licentiate thesis, Uppsala universitet, Avdelningen för teknisk databehandling, 2000. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-86389.

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Two unstructured finite volume solvers for the Maxwell equations in 2D and 3D are introduced. The solvers are a generalization of FD–TD to unstructured grids and they use a third-order staggered Adams–Bashforth scheme for time discretization. Analysis and experiments of this time integrator reveal that we achieve a long term stable solution on general triangular grids. A Fourier analysis shows that the 2D solver has excellent dispersion characteristics on uniform triangular grids. In 3D a spatial filter of Laplace type is introduced to enable long simulations without suffering from late time i

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12

Jeong, Jaehoon. "Analytical time domain electromagnetic field propagators and closed-form solutions for transmission lines." [College Station, Tex. : Texas A&M University, 2006. http://hdl.handle.net/1969.1/ETD-TAMU-1105.

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13

Benoit, Jaume. "Identification de sources temporelles pour les simulations numériques des équations de Maxwell." Thesis, Clermont-Ferrand 2, 2012. http://www.theses.fr/2012CLF22314.

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Les travaux effectués durant cette thèse s’inscrivent dans le cadre d’une collaboration entre l’équipe CEM de l’Institut Pascal et l’équipe EDPAN du Laboratoire de Mathématiques de l’Université Blaise Pascal de Clermont-Ferrand. Nous présentons ici une étude qui, partant de l’analyse du processus de Retournement Temporel en électromagnétisme, a débouché sur le développement d’une méthode originale baptisée Linear Combination of Configuration Fields (LCCF) ou, en français, Combinaison Linéaire de Configurations de Champs. Après avoir introduit l’ensemble des outils et méthodes utilisés dans ces

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14

Rawat, Vineet. "Finite Element Domain Decomposition with Second Order Transmission Conditions for Time-Harmonic Electromagnetic Problems." The Ohio State University, 2009. http://rave.ohiolink.edu/etdc/view?acc_num=osu1243360543.

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15

Abenius, Erik. "Direct and Inverse Methods for Waveguides and Scattering Problems in the Time Domain." Doctoral thesis, Uppsala : Acta Universitatis Upsaliensis : Univ.-bibl. [distributör], 2005. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-6013.

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16

Vegh, Viktor. "Numerical modelling of industrial microwave heating." Thesis, Queensland University of Technology, 2003. https://eprints.qut.edu.au/37144/7/37144_Digitised%20Thesis.pdf.

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The numerical modelling of electromagnetic waves has been the focus of many research areas in the past. Some specific applications of electromagnetic wave scattering are in the fields of Microwave Heating and Radar Communication Systems. The equations that govern the fundamental behaviour of electromagnetic wave propagation in waveguides and cavities are the Maxwell's equations. In the literature, a number of methods have been employed to solve these equations. Of these methods, the classical Finite-Difference Time-Domain scheme, which uses a staggered time and space discretisation, is the mos

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17

Xie, Zhongqiang. "Fourth-order finite difference methods for the time-domain Maxwell equations with applications to scattering by rough surfaces and interfaces." Thesis, Coventry University, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.369842.

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18

Lee, Richard Todd. "A novel method for incorporating periodic boundaries into the FDTD method and the application to the study of structural color of insects." Diss., Atlanta, Ga. : Georgia Institute of Technology, 2009. http://hdl.handle.net/1853/29772.

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Thesis (Ph.D)--Electrical and Computer Engineering, Georgia Institute of Technology, 2009.<br>Committee Chair: Smith, Glenn; Committee Member: Buck, John; Committee Member: Goldsztein, Guillermo; Committee Member: Peterson, Andrew; Committee Member: Scott, Waymond. Part of the SMARTech Electronic Thesis and Dissertation Collection.

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19

Woyna, Irene [Verfasser], Thomas [Akademischer Betreuer] Weiland, and Irina [Akademischer Betreuer] Munteanu. "Wideband Impedance Boundary Conditions for FE/DG Methods for Solving Maxwell Equations in Time Domain / Irene Woyna. Betreuer: Thomas Weiland ; Irina Munteanu." Darmstadt : Universitäts- und Landesbibliothek Darmstadt, 2014. http://d-nb.info/1110792905/34.

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20

Hassan, Emadeldeen. "Topology optimization of antennas and waveguide transitions." Doctoral thesis, Umeå universitet, Institutionen för datavetenskap, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-102505.

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This thesis introduces a topology optimization approach to design, from scratch, efficient microwave devices, such as antennas and waveguide transitions. The design of these devices is formulated as a general optimization problem that aims to build the whole layout of the device in order to extremize a chosen objective function. The objective function quantifies some required performance and is evaluated using numerical solutions to the 3D~Maxwell's equations by the finite-difference time-domain (FDTD) method. The design variables are the local conductivity at each Yee~edge in a given design d

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21

Chicaud, Damien. "Analysis of time-harmonic electromagnetic problems in elliptic anisotropic media." Electronic Thesis or Diss., Institut polytechnique de Paris, 2021. http://www.theses.fr/2021IPPAE014.

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La simulation numérique de problèmes électromagnétiques dans des configurations physiques complexes est largement utilisée pour de nombreuses applications scientifiques et industrielles, telles que la conception de métamatériaux optiques ou l'étude des plasmas froids. L'analyse mathématique et numérique des problèmes de Maxwell est bien connue dans des contextes physiques simples, où les paramètres du milieu sont isotropes. Des résultats en milieux anisotropes existent, mais se limitent généralement au cas des tenseurs réels symétriques (ou complexes hermitiens) définis positifs. Cependant, po

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22

Ritzenthaler, Valentin. "Stratégies de couplage des méthodes Compatible Discrete Operators appliquées aux équations de Maxwell dans le domaine temporel." Electronic Thesis or Diss., Toulouse, ISAE, 2024. http://www.theses.fr/2024ESAE0060.

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Dans le domaine de la simulation numérique des équations de Maxwell, l'un des principaux objectifs consiste à rendre compte numériquement de la réalité physique des champs électromagnétiques avec une haute précision et un faible coût calcul. Il existe aujourd'hui de nombreuses méthodes permettant de résoudre le système de Maxwell en domaine temporel, présentant chacune, en fonction des situations, des qualités et des défauts. Dans cette thèse, on s’intéresse à deux stratégies de couplagedes méthodes Compatible Discrete Operators (CDO) appliquées aux équations de Maxwell dans le domaine tempore

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23

Nilsson, Martin. "Iterative solution of Maxwell's equations in frequency domain." Licentiate thesis, Uppsala universitet, Avdelningen för teknisk databehandling, 2002. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-86390.

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We have developed an iterative solver for the Moment Method. It computes a matrix–vector product with the multilevel Fast Multipole Method, which makes the method scale with the number of unknowns. The iterative solver is of Block Quasi-Minimum Residual type and can handle several right-hand sides at once. The linear system is preconditioned with a Sparse Approximate Inverse, which is modified to handle dense matrices. The solver is parallelized on shared memory machines using OpenMP. To verify the method some tests are conducted on varying geometries. We use simple geometries to show that the

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24

Schwarzbach, Christoph. "Stability of finite element solutions to Maxwell's equations in frequency domain." Doctoral thesis, Technische Universitaet Bergakademie Freiberg Universitaetsbibliothek "Georgius Agricola", 2009. http://nbn-resolving.de/urn:nbn:de:bsz:105-24780.

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Eine Standardformulierung der Randwertaufgabe für die Beschreibung zeitharmonischer elektromagnetischer Phänomene hat die Vektor-Helmholtzgleichung für das elektrische Feld zur Grundlage. Bei niedrigen Frequenzen führt der große Nullraum des Rotationsoperators zu einem instabilen Lösungsverhalten. Wird die Randwertaufgabe zum Beispiel mit Hilfe der Methode der Finiten Elemente in ein lineares Gleichungssystem überführt, äußert sich die Instabilität in einer schlechten Konditionszahl ihrer Koeffizientenmatrix. Eine stabilere Formulierung wird durch die explizite Berücksichtigung der Kontinuität

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25

Marchand, Renier Gustav. "Finite element tearing and interconnecting for the electromagnetic vector wave equation in two dimensions." Thesis, Stellenbosch : University of Stellenbosch, 2007. http://hdl.handle.net/10019.1/2471.

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Thesis (MScEng (Electrical and Electronic Engineering))--University of Stellenbosch, 2007.<br>The finite element tearing and interconnect(FETI) domain decomposition(DD) method is investigated in terms of the 2D transverse electric(TEz) finite element method(FEM). The FETI is for the first time rigorously derived using the weighted residual framework from which important insights are gained. The FETI is used in a novel way to implement a total-/scattered field decomposition and is shown to give excellent results. The FETI is newly formulated for the time domain(FETI-TD), its feasibility is

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26

Rihani, Mahran. "Maxwell's equations in presence of metamaterials." Electronic Thesis or Diss., Institut polytechnique de Paris, 2022. https://theses.hal.science/tel-03670420.

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Le sujet principal de cette thèse est l’étude de la propagation des ondes électromagnétiques, en régime harmonique, dans un milieu hétérogène composé d’un diélectrique et d’un matériau négatif (c’est-à-dire avec une permittivité diélectrique négative ε et/ou une perméabilité magnétique négative μ) qui sont séparés par une interface avec une pointe conique. En raison du changement de signe de ε et/ou μ, les équations de Maxwell peuvent être mal posées dans les cadres classiques (basés sur l’espace L2). D’autre part, nous savons que lorsque les deux problèmes scalaires associés, impliquant respe

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27

Viquerat, Jonathan. "Simulation de la propagation d'ondes électromagnétiques en nano-optique par une méthode Galerkine discontinue d'ordre élevé." Thesis, Nice, 2015. http://www.theses.fr/2015NICE4109/document.

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L’objectif de cette thèse est de développer une méthode Galerkine discontinue d’ordre élevé capable de prendre en considération des simulations réalistes liées à la nanophotonique. Au cours des dernières décennies, l’évolution des techniques de lithographie a permis la création de structure géométriques de tailles nanométriques, révélant ainsi une large gamme de phénomènes nouveaux nés de l’interaction lumière-matière à ces échelles. Ces effets apparaissent généralement pour des objets de taille égale ou (très) inférieure à la longueur d’onde du champ incident. Ce travail repose sur le dévelop

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28

Schütte, Maria [Verfasser]. "On shape sensitivity analysis for 3D time-dependent Maxwell's equations / Maria Schütte." Paderborn : Universitätsbibliothek, 2017. http://d-nb.info/1127109979/34.

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29

Badia, Ismaïl. "Couplage par décomposition de domaine optimisée de formulations intégrales et éléments finis d’ordre élevé pour l’électromagnétisme." Electronic Thesis or Diss., Université de Lorraine, 2022. http://www.theses.fr/2022LORR0058.

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La résolution numérique d’un problème de diffraction électromagnétique tridimensionnel en régime harmonique est connue pour être difficile, notamment en haute fréquence et pour des objets diffractants diélectriques et inhomogènes. En effet, elle nécessite de discrétiser un système d’équations aux dérivées partielles posé sur un domaine infini. De plus, le fait de considérer une petite longueur d’onde λ dans ce cas, nécessite naturellement un maillage très fin, ce qui conduit par conséquent à un très grand nombre de degrés de liberté. Une approche standard consiste à combiner une méthode d’équa

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30

Sturm, Andreas [Verfasser], and M. [Akademischer Betreuer] Hochbruck. "Locally Implicit Time Integration for Linear Maxwell's Equations / Andreas Sturm ; Betreuer: M. Hochbruck." Karlsruhe : KIT-Bibliothek, 2017. http://d-nb.info/1132997453/34.

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31

Lijoka, Oluwaseun Francis. "Enriched discrete spaces for time domain wave equations." Thesis, Heriot-Watt University, 2017. http://hdl.handle.net/10399/3264.

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The second order linear wave equation is simple in representation but its numerical approximation is challenging, especially when the system contains waves of high frequencies. While 10 grid points per wavelength is regarded as the rule of thumb to achieve tolerable approximation with the standard numerical approach, high resolution or high grid density is often required at high frequency which is often computationally demanding. As a contribution to tackling this problem, we consider in this thesis the discretization of the problem in the framework of the space-time discontinuous Galerkin (DG

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32

Findeisen, Stefan Matthias [Verfasser], and C. [Akademischer Betreuer] Wieners. "A Parallel and Adaptive Space-Time Method for Maxwell's Equations / Stefan Matthias Findeisen. Betreuer: C. Wieners." Karlsruhe : KIT-Bibliothek, 2016. http://d-nb.info/1108452647/34.

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33

Freese, Jan Philip [Verfasser], and C. [Akademischer Betreuer] Wieners. "Numerical homogenization of time-dependent Maxwell's equations with dispersion effects / Jan Philip Freese ; Betreuer: C. Wieners." Karlsruhe : KIT-Bibliothek, 2021. http://d-nb.info/1227451113/34.

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34

Kachanovska, Maryna. "Fast, Parallel Techniques for Time-Domain Boundary Integral Equations." Doctoral thesis, Universitätsbibliothek Leipzig, 2014. http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-132183.

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This work addresses the question of the efficient numerical solution of time-domain boundary integral equations with retarded potentials arising in the problems of acoustic and electromagnetic scattering. The convolutional form of the time-domain boundary operators allows to discretize them with the help of Runge-Kutta convolution quadrature. This method combines Laplace-transform and time-stepping approaches and requires the explicit form of the fundamental solution only in the Laplace domain to be known. Recent numerical and analytical studies revealed excellent properties of Runge-Kutta co

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35

Pino, Gabriel. "Fault location in transmission lines using time-domain equations." Universidade de São Paulo, 2018. http://www.teses.usp.br/teses/disponiveis/3/3143/tde-28082018-133153/.

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This thesis is a combination of the development of numerical models regarding transient simulation of transmission lines and their advantages associated with fault location methods. The transmission line models presented in this work are in time-domain, which is a new approach considering traditional methods as being the phasor and traveling wave techniques. The use of phasors for this purpose has some technical difficulties: the presence of a damped DC component, greater influence of the fault impedance and metrological equipment layout. This work deals with single-phase AC and mono polar DC

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36

Kachanovska, Maryna. "Fast, Parallel Techniques for Time-Domain Boundary Integral Equations." Doctoral thesis, Max-Planck-Institut für Mathematik in den Naturwissenschaften, 2013. https://ul.qucosa.de/id/qucosa%3A12278.

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This work addresses the question of the efficient numerical solution of time-domain boundary integral equations with retarded potentials arising in the problems of acoustic and electromagnetic scattering. The convolutional form of the time-domain boundary operators allows to discretize them with the help of Runge-Kutta convolution quadrature. This method combines Laplace-transform and time-stepping approaches and requires the explicit form of the fundamental solution only in the Laplace domain to be known. Recent numerical and analytical studies revealed excellent properties of Runge-Kutta co

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37

Volpert, Thibault. "Étude d'un schéma différences finies haute précision et d'un modèle de fil mince oblique pour simuler les perturbations électromagnétiques sur véhicule aérospatial." Thesis, Toulouse, ISAE, 2014. http://www.theses.fr/2014ESAE0042/document.

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Les travaux de cette thèse concerne l’étude d’une méthode élément finis d’ordre spatial élevé que l’on peut assimilé à une extension du schéma de Yee. On parle alors de méthode différences finies d’ordre élevé. Après avoir donné, dans un premier chapitre, un historique non exhaustif des principales méthodes utilisées pour résoudre les équations de Maxwell dans le cadre de problèmes de CEM et montré l’ intérêt de disposer d’un solveur de type "différences finies d’ ordre élevé", nous présentons dans un deuxième chapitre le principe de la méthode. Nous donnons pour cela les caractéristiques du s

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Aghabarati, Ali. "Multilevel and algebraic multigrid methods for the higher order finite element analysis of time harmonic Maxwell's equations." Thesis, McGill University, 2014. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=121485.

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The Finite Element Method (FEM) applied to wave scattering and quasi-static vector field problems in the frequency domain leads to sparse, complex-symmetric, linear systems of equations. For large problems with complicated geometries, most of the computer time and memory used by FEM goes to solving the matrix equation. Krylov subspace methods are widely used iterative methods for solving large sparse systems. They depend heavily on preconditioning to accelerate convergence. However, application of conventional preconditioners to the "curl-curl" operator which arises in vector electromagnetics

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Moya, Ludovic. "Méthodes Galerkine discontinues localement implicites en domaine temporel pour la propagation des ondes électromagnétiques dans les tissus biologiques." Phd thesis, Université Nice Sophia Antipolis, 2013. http://tel.archives-ouvertes.fr/tel-00950386.

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Cette thèse traite des équations de Maxwell en domaine temporel. Le principal objectif est de proposer des méthodes de type éléments finis d'ordre élevé pour les équations de Maxwell et des schémas d'intégration en temps efficaces sur des maillages localement raffinés. Nous considérons des méthodes GDDT (Galerkine Discontinues en Domaine Temporel) s'appuyant sur une interpolation polynomiale d'ordre arbitrairement élevé des composantes du champ électromagnétique. Les méthodes GDDT pour les équations de Maxwell s'appuient le plus souvent sur des schémas d'intégration en temps explicites dont la

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40

Pa¸ur, Tomislav [Verfasser], and M. [Akademischer Betreuer] Hochbruck. "Error analysis of implicit and exponential time integration of linear Maxwell's equations / Tomislav Pa¸ur. Betreuer: M. Hochbruck." Karlsruhe : KIT-Bibliothek, 2013. http://d-nb.info/1047839822/34.

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41

Klimek, Mariusz [Verfasser], Sebastian [Akademischer Betreuer] Schöps, and Stefan [Akademischer Betreuer] Kurz. "Space-Time Discretization of Maxwell's Equations in the Setting of Geometric Algebra / Mariusz Klimek ; Sebastian Schöps, Stefan Kurz." Darmstadt : Universitäts- und Landesbibliothek Darmstadt, 2018. http://d-nb.info/1152384236/34.

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42

Bonazzoli, Marcella. "Méthodes d'ordre élevé et méthodes de décomposition de domaine efficaces pour les équations de Maxwell en régime harmonique." Thesis, Université Côte d'Azur (ComUE), 2017. http://www.theses.fr/2017AZUR4067/document.

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Les équations de Maxwell en régime harmonique comportent plusieurs difficultés lorsque la fréquence est élevée. On peut notamment citer le fait que leur formulation variationnelle n’est pas définie positive et l’effet de pollution qui oblige à utiliser des maillages très fins, ce qui rend problématique la construction de solveurs itératifs. Nous proposons une stratégie de solution précise et rapide, qui associe une discrétisation par des éléments finis d’ordre élevé à des préconditionneurs de type décomposition de domaine. La conception, l’implémentation et l’analyse des deux méthodes sont ass

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43

Gläfke, Matthias. "Adaptive methods for time domain boundary integral equations for acoustic scattering." Thesis, Brunel University, 2012. http://bura.brunel.ac.uk/handle/2438/7378.

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This thesis is concerned with the study of transient scattering of acoustic waves by an obstacle in an infinite domain, where the scattered wave is represented in terms of time domain boundary layer potentials. The problem of finding the unknown solution of the scattering problem is thus reduced to the problem of finding the unknown density of the time domain boundary layer operators on the obstacle’s boundary, subject to the boundary data of the known incident wave. Using a Galerkin approach, the unknown density is replaced by a piecewise polynomial approximation, the coefficients of which ca

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44

Lindhe, Adam. "Reflected Stochastic Differential Equations on a Time-Dependent Non-Smooth Domain." Thesis, KTH, Matematisk statistik, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-229073.

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In this thesis we prove existence and uniqueness for reflected stochastic differential equation on a specific non-smooth, time-dependent domain. The domain is the intersection of a finite number of smooth domains that are allowed to vary in time. The reflection is oblique to the domain and at the corners more than one direction of reflection is allowed. The time restrictions on the domain is firstly the existence of a semiconcave family of sets that are C¹;+ in time. Secondly that the distance function to the domain is in W¹;p. The first part of the proof is to construct of three kinds of test

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Hagdahl, Stefan. "Hybrid Methods for Computational Electromagnetics in Frequency Domain." Doctoral thesis, Stockholm : Numerisk analys och datalogi (NADA) ; Tekniska högsk, 2005. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-400.

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Tinniswood, Adam D. "Solution of time domain integral equations on distributed memory parallel processing systems." Thesis, University of York, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.362022.

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Schwarzbach, Christoph [Verfasser], Klaus [Akademischer Betreuer] Spitzer, Klaus [Gutachter] Spitzer, Peter [Gutachter] Weidelt, and Eldad [Gutachter] Haber. "Stability of finite element solutions to Maxwell's equations in frequency domain / Christoph Schwarzbach ; Gutachter: Klaus Spitzer, Peter Weidelt, Eldad Haber ; Betreuer: Klaus Spitzer." Freiberg : TU Bergakademie Freiberg, 2009. http://d-nb.info/1220836885/34.

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Atle, Andreas. "Numerical approximations of time domain boundary integral equation for wave propagation." Licentiate thesis, KTH, Numerical Analysis and Computer Science, NADA, 2003. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-1682.

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<p>Boundary integral equation techniques are useful in thenumerical simulation of scattering problems for wave equations.Their advantage over methods based on partial di.erentialequations comes from the lack of phase errors in the wavepropagation and from the fact that only the boundary of thescattering object needs to be discretized. Boundary integraltechniques are often applied in frequency domain but recentlyseveral time domain integral equation methods are beingdeveloped.</p><p>We study time domain integral equation methods for thescalar wave equation with a Galerkin discretization of twod

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Dolean, Victorita. "Algorithmes par decomposition de domaine et méthodes de discrétisation d'ordre elevé pour la résolution des systèmes d'équations aux dérivées partielles. Application aux problèmes issus de la mécanique des fluides et de l'électromagnétisme." Habilitation à diriger des recherches, Université de Nice Sophia-Antipolis, 2009. http://tel.archives-ouvertes.fr/tel-00413574.

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My main research topic is about developing new domain decomposition algorithms for the solution of systems of partial differential equations. This was mainly applied to fluid dynamics problems (as compressible Euler or Stokes equations) and electromagnetics (time-harmonic and time-domain first order system of Maxwell's equations). Since the solution of large linear systems is strongly related to the application of a discretization method, I was also interested in developing and analyzing the application of high order methods (such as Discontinuos Galerkin methods) to Maxwell's equations (somet

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Rarata, Zbigniew. "Application and assessment of time-domain DGM for intake acoustics using 3D linearized Euler equations." Thesis, University of Southampton, 2014. https://eprints.soton.ac.uk/371795/.

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Fan noise is one of the major sources of aircraft noise. This can be modelled by means of frequency and time domain CAA methods. Frequency domain methods based on the convected Helmholtz equation are widely used for noise propagation and radiation from turbofan intakes. However, these methods are unsuited to deal easily with turbofan exhaust noise and presently unable to solve large 3D (three-dimensional) problems at high frequencies. In this thesis the application of time-domain Discontinuous Galerkin Methods (DGM) for solving linearized Euler equations is investigated. The research is focuse

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