H(curl) Spectral Elements: Solvers and Domain Decomposition Methods
Bernhard Hientzsch
Broschiertes Buch

H(curl) Spectral Elements: Solvers and Domain Decomposition Methods

Spectral Elements for Problems in H1 and H(Curl): Discretizations, Fast Solvers, and Domain Decomposition Preconditioners

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For problems with piecewise smooth solutions, spectral element methods (SEM) hold great promise, combining the fast exponential convergence of spectral methods with the flexibility of finite elements. Once the problems are discretized with SEM, fast direct solvers are needed for the resulting systems. When the systems become too large, iterative solvers and good preconditioners are needed. Up to now, SEM have been mostly applied to elliptic problems (e.g., Poisson equations) and to fluid dynamics. This book applies SEM to problems derived from Maxwell equations, which present new issues and ch...