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High-order discontinuous galerkin methods for the maxwell equations

by Fahs-H
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Current price ₹7,242.00
Original price ₹8,691.00
Original price ₹8,691.00
Original price ₹8,691.00
(-17%)
₹7,242.00
Current price ₹7,242.00

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Book cover type: Paperback
  • ISBN13: 9786131500206
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Univ Europeenne
  • Publisher Imprint: Univ Europeenne
  • Publication Date:
  • Pages: 208
  • Original Price: GBP 57.0
  • Language: French
  • Edition: N/A
  • Item Weight: 313 grams
  • BISAC Subject(s): General

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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