IEEE Microwave and Wireless Components Letters · 2006 · 39 citations · 12 references
ComputingComputational EngineeringPhysicsElectromagnetismFinite Element AnalysisFinite Element MethodsConvergence AnalysisElectromagnetic Inverse ProblemsFinite Element DiscretizationFinite Element FormulationGrid GenerationMaxwell's EquationsDiscretization Of Maxwell's EquationsElement Mass MatrixLumped Mass MatrixSparse Inverse ProblemsSparse Linear AlgebraSparse Matrix AlgorithmsSparse Matrix ComputationSparse Matrix Techniques
Finite-element time-domain (FETD) simulations of Maxwell equations in irregular simplicial grids require the solution of a sparse linear system involving the Hodge (mass) matrix at each time step. This can be avoided by mass lumping techniques that approximate the mass matrix by a diagonal matrix, but not without shortcomings. In this communication, we propose an alternative approach to yield a conditionally stable, fully explicit, and sparse FETD by using a sparse approximate inverse of the mass matrix.
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