High-order discontinuous Galerkin methods for the Maxwell equations: High-order discontinuous Galerkin methods for solving the time-domain Maxwell ... simplicial meshes (Omn.Univ.Europ.)

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9786131500206: High-order discontinuous Galerkin methods for the Maxwell equations: High-order discontinuous Galerkin methods for solving the time-domain Maxwell ... simplicial meshes (Omn.Univ.Europ.)

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.

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About the Author:

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
Editorial: Univ Europeenne, United States (2014)
ISBN 10: 6131500207 ISBN 13: 9786131500206
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Descripción Univ Europeenne, United States, 2014. Paperback. Estado de conservación: 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. de la librería OMN9786131500206

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Fahs Hassan
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Descripción Univ Europeenne 2010-07-05, 2010. paperback. Estado de conservación: New. Nº de ref. de la librería 9786131500206

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Fahs Hassan
Editorial: Univ Europeenne, United States (2014)
ISBN 10: 6131500207 ISBN 13: 9786131500206
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Descripción Univ Europeenne, United States, 2014. Paperback. Estado de conservación: 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. de la librería KNV9786131500206

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Fahs Hassan
Editorial: Univ Europeenne, United States (2014)
ISBN 10: 6131500207 ISBN 13: 9786131500206
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Descripción Univ Europeenne, United States, 2014. Paperback. Estado de conservación: 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. de la librería KNV9786131500206

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Fahs Hassan
Editorial: OmniScriptum (2016)
ISBN 10: 6131500207 ISBN 13: 9786131500206
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Descripción OmniScriptum, 2016. Paperback. Estado de conservación: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Nº de ref. de la librería ria9786131500206_lsuk

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Fahs Hassan
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Descripción Editions Universitaires Europeennes, 2010. PAP. Estado de conservación: New. New Book. Delivered from our UK warehouse in 3 to 5 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. de la librería LQ-9786131500206

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Hassan Fahs
Editorial: Univ Européenne (2010)
ISBN 10: 6131500207 ISBN 13: 9786131500206
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Descripción Univ Européenne, 2010. Estado de conservación: Neuf. Nº de ref. de la librería 9786131500206

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Hassan Fahs
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Descripción Éditions universitaires européennes, 2010. Paperback. Estado de conservación: New. book. Nº de ref. de la librería M6131500207

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Fahs Hassan
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Hassan Fahs
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Descripción Editions Universitaires Europeennes EUE Mai 2014, 2014. Taschenbuch. Estado de conservación: 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. de la librería 9786131500206

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