High-Order Discontinuous Galerkin Methods for the Maxwell Equations (OMN.UNIV.EUROP.)

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9786131500206: High-Order Discontinuous Galerkin Methods for the Maxwell Equations (OMN.UNIV.EUROP.)
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This work is concerned with the development of a high-order discontinuous Galerkin time-domain (DGTD) method for solving Maxwell's equations on non-conforming simplicial meshes. First, we present a DGTD method based on high-order nodal basis functions for the approximation of the electromagnetic field within a simplex, a centered scheme for the calculation of the numerical flux at an interface between neighbouring elements, and a second-order leap-frog time integration scheme. Next, to reduce the computational costs of the method, we propose a hp-like DGTD method which combines local h-refinement and p-enrichment. Then, we report on a detailed numerical evaluation of the DGTD methods using several propagation problems. Finally, in order to improve the accuracy and rate of convergence of the DGTD methods previously studied, we study a family of high-order explicit leap-frog time schemes. These time schemes ensure the stability under some CFL-like condition. We also establish rigorously the convergence of the semi-discrete approximation to Maxwell's equations and we provide bounds on the global divergence error.

Biografía del autor:

received the Ph.D. degree in applied mathematics from the University of Nice/Sophia Antipolis, France, in 2008. In 2009, he joined the IFP as a postdoctoral researcher. Since 2010, he is a research engineer at XLIM institut. His current research interests include computational electromagnetics and the developement of finite element methods

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Fahs Hassan
Publicado por Univ Europeenne, United States (2014)
ISBN 10: 6131500207 ISBN 13: 9786131500206
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Descripción Univ Europeenne, United States, 2014. Paperback. Condición: New. Language: French . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. This work is concerned with the development of a high-order discontinuous Galerkin time-domain (DGTD) method for solving Maxwell s equations on non-conforming simplicial meshes. First, we present a DGTD method based on high-order nodal basis functions for the approximation of the electromagnetic field within a simplex, a centered scheme for the calculation of the numerical flux at an interface between neighbouring elements, and a second-order leap-frog time integration scheme. Next, to reduce the computational costs of the method, we propose a hp-like DGTD method which combines local h-refinement and p-enrichment. Then, we report on a detailed numerical evaluation of the DGTD methods using several propagation problems. Finally, in order to improve the accuracy and rate of convergence of the DGTD methods previously studied, we study a family of high-order explicit leap-frog time schemes. These time schemes ensure the stability under some CFL-like condition. We also establish rigorously the convergence of the semi-discrete approximation to Maxwell s equations and we provide bounds on the global divergence error. Nº de ref. del artículo: OMN9786131500206

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Fahs Hassan
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Descripción Univ Europeenne, United States, 2014. Paperback. Condición: New. Language: French . Brand New Book. This work is concerned with the development of a high-order discontinuous Galerkin time-domain (DGTD) method for solving Maxwell s equations on non-conforming simplicial meshes. First, we present a DGTD method based on high-order nodal basis functions for the approximation of the electromagnetic field within a simplex, a centered scheme for the calculation of the numerical flux at an interface between neighbouring elements, and a second-order leap-frog time integration scheme. Next, to reduce the computational costs of the method, we propose a hp-like DGTD method which combines local h-refinement and p-enrichment. Then, we report on a detailed numerical evaluation of the DGTD methods using several propagation problems. Finally, in order to improve the accuracy and rate of convergence of the DGTD methods previously studied, we study a family of high-order explicit leap-frog time schemes. These time schemes ensure the stability under some CFL-like condition. We also establish rigorously the convergence of the semi-discrete approximation to Maxwell s equations and we provide bounds on the global divergence error. Nº de ref. del artículo: KNV9786131500206

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Fahs Hassan (author)
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Descripción Univ Europeenne 2010-07-05, 2010. paperback. Condición: New. Nº de ref. del artículo: 9786131500206

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Fahs Hassan
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Descripción Univ Europeenne, United States, 2014. Paperback. Condición: New. Language: French . Brand New Book. This work is concerned with the development of a high-order discontinuous Galerkin time-domain (DGTD) method for solving Maxwell s equations on non-conforming simplicial meshes. First, we present a DGTD method based on high-order nodal basis functions for the approximation of the electromagnetic field within a simplex, a centered scheme for the calculation of the numerical flux at an interface between neighbouring elements, and a second-order leap-frog time integration scheme. Next, to reduce the computational costs of the method, we propose a hp-like DGTD method which combines local h-refinement and p-enrichment. Then, we report on a detailed numerical evaluation of the DGTD methods using several propagation problems. Finally, in order to improve the accuracy and rate of convergence of the DGTD methods previously studied, we study a family of high-order explicit leap-frog time schemes. These time schemes ensure the stability under some CFL-like condition. We also establish rigorously the convergence of the semi-discrete approximation to Maxwell s equations and we provide bounds on the global divergence error. Nº de ref. del artículo: KNV9786131500206

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Fahs Hassan
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Hassan Fahs
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Hassan Fahs
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Descripción Editions Universitaires Europeennes EUE Mai 2014, 2014. Taschenbuch. Condición: Neu. Neuware - This work is concerned with the development of a high-order discontinuous Galerkin time-domain (DGTD) method for solving Maxwell's equations on non-conforming simplicial meshes. First, we present a DGTD method based on high-order nodal basis functions for the approximation of the electromagnetic field within a simplex, a centered scheme for the calculation of the numerical flux at an interface between neighbouring elements, and a second-order leap-frog time integration scheme. Next, to reduce the computational costs of the method, we propose a hp-like DGTD method which combines local h-refinement and p-enrichment. Then, we report on a detailed numerical evaluation of the DGTD methods using several propagation problems. Finally, in order to improve the accuracy and rate of convergence of the DGTD methods previously studied, we study a family of high-order explicit leap-frog time schemes. These time schemes ensure the stability under some CFL-like condition. We also establish rigorously the convergence of the semi-discrete approximation to Maxwell's equations and we provide bounds on the global divergence error. 208 pp. Englisch. Nº de ref. del artículo: 9786131500206

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Hassan Fahs
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ISBN 10: 6131500207 ISBN 13: 9786131500206
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Descripción Editions Universitaires Europeennes EUE Mai 2014, 2014. Taschenbuch. Condición: Neu. Neuware - This work is concerned with the development of a high-order discontinuous Galerkin time-domain (DGTD) method for solving Maxwell's equations on non-conforming simplicial meshes. First, we present a DGTD method based on high-order nodal basis functions for the approximation of the electromagnetic field within a simplex, a centered scheme for the calculation of the numerical flux at an interface between neighbouring elements, and a second-order leap-frog time integration scheme. Next, to reduce the computational costs of the method, we propose a hp-like DGTD method which combines local h-refinement and p-enrichment. Then, we report on a detailed numerical evaluation of the DGTD methods using several propagation problems. Finally, in order to improve the accuracy and rate of convergence of the DGTD methods previously studied, we study a family of high-order explicit leap-frog time schemes. These time schemes ensure the stability under some CFL-like condition. We also establish rigorously the convergence of the semi-discrete approximation to Maxwell's equations and we provide bounds on the global divergence error. 208 pp. Englisch. Nº de ref. del artículo: 9786131500206

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