Local Timestepping Techniques Using Taylor Expansion for Modeling Electromagnetic Wave Propagation With Discontinuous Galerkin-FEM
Magnetics, IEEE Transactions（2010）
摘要
A time integration scheme based on Taylor expansion using the higher order discontinuous Galerkin finite element method (DG-FEM) is presented. The special properties of the scheme allow for using explicit time integration. Local timestepping techniques are proposed, which are efficient whenever large ratios in element size affect the performance of global explicit time integration schemes. The algorithm is introduced, its characteristics are analyzed, and benchmarks are presented.
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关键词
time domain,taylor expansion,integral equations,time integration scheme,finite element method (fem),local timestepping,discontinuous galerkin,finite element method,discontinuous galerkin-fem,high order,finite element analysis,galerkin method,electromagnetic wave propagation,thermal stability,taylor series,numerical stability,higher order,stability analysis,electromagnetic waves,accuracy
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