An unconditionally stable discontinuous galerkin method for solving the 2-D time-domain maxwell equations on unstructured triangular meshes

Adrien Catella, Victorita Dolean, Stéphane Lanteri

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

Numerical methods for solving the time-domain Maxwell equations often rely on cartesian meshes and are variants of the finite-difference time-domain (FDTD) method due to Yee (1966). In recent years, there has been an increasing interest in discontinuous Galerkin time-domain (DGTD) methods dealing with unstructured meshes since the latter are particularly well adapted to the discretization of geometrical details that characterize applications of practical relevance. However, similarly to Yee's finite difference time-domain method, existing DGTD methods generally rely on explicit time integration schemes and are therefore constrained by a stability condition that can be very restrictive on locally refined unstructured meshes. An implicit time integration scheme is a possible strategy to overcome this limitation. The present study aims at investigating such an implicit DGTD method for solving the 2-D time-domain Maxwell equations on nonuniform triangular meshes.

LanguageEnglish
Article number4526821
Pages1250-1253
Number of pages4
JournalIEEE Transactions on Magnetics
Volume44
Issue number6
Early online date20 May 2008
DOIs
Publication statusPublished - 30 Jun 2008

Fingerprint

Triangular Mesh
Unconditionally Stable
Unstructured Mesh
Discontinuous Galerkin Method
Finite difference time domain method
Maxwell equations
Galerkin methods
Maxwell's equations
Time Domain
Discontinuous Galerkin
Finite-difference Time-domain Method
Numerical methods
Explicit Time Integration
Non-uniform Mesh
Time Integration
Cartesian
Stability Condition
Discretization
Numerical Methods
Mesh

Keywords

  • discontinuous Galerkin method
  • implicit time integration
  • local refinement
  • time-domain Maxwell's equations
  • unstructured mesh

Cite this

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An unconditionally stable discontinuous galerkin method for solving the 2-D time-domain maxwell equations on unstructured triangular meshes. / Catella, Adrien; Dolean, Victorita; Lanteri, Stéphane.

In: IEEE Transactions on Magnetics, Vol. 44, No. 6, 4526821, 30.06.2008, p. 1250-1253.

Research output: Contribution to journalArticle

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