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

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

Jazyk: Angličtina
Vazba: Brožovaná
Dostupnost: U nakladatele na objednávku
Odesíláme za 17-27 dnů
1 618
For problems with piecewise smooth solutions, spectral element methods (SEM) hold great promise, com...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Brožovaná
Vydáno
2009
Stránek
180
EAN
9783639173659
Enbook ID
06825680
Hmotnost
284
Rozměry
150 x 220 x 11

Kompletní popis

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 challenges. We derive and describe the problems, discretize them, develop several fast solvers for them, construct domain decomposition preconditioners for them, test the solvers and preconditioners on examples, and prove that the preconditioners are optimal, introducing many ideas, methods, and results along the way. The book presents an accessible introduction to SEM, domain decomposition methods, and fast solvers, applied to computational electromagnetics. It should be useful and interesting for both beginners and specialists.

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