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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Book Description Univ Europeenne, United States, 2014. Paperback. Book Condition: 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. Bookseller Inventory # KNV9786131500206

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Book Description Univ Europeenne, United States, 2014. Paperback. Book Condition: 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. Bookseller Inventory # KNV9786131500206

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Book Description Editions Universitaires Europeennes EUE Mai 2014, 2014. Taschenbuch. Book Condition: 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. Bookseller Inventory # 9786131500206

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