Wave atoms and time upscaling of wave equations

We present a new geometric strategy for the numerical solution of hyperbolic wave equations in smoothly varying, two-dimensional time-independent periodic media. The method consists in representing the time-dependent Green’s function in wave atoms, a tight frame of multiscale, directional wave packe...

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Vydané v:	Numerische Mathematik Ročník 113; číslo 1; s. 1 - 71
Hlavní autori:	Demanet, Laurent, Ying, Lexing
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Berlin/Heidelberg Springer-Verlag 01.07.2009 Springer
Predmet:	Exact sciences and technology Mathematical analysis Mathematical and Computational Engineering Mathematical and Computational Physics Mathematical Methods in Physics Mathematics Mathematics and Statistics Numerical Analysis Numerical analysis. Scientific computation Numerical and Computational Physics Numerical linear algebra Ordinary differential equations Partial differential equations Sciences and techniques of general use Simulation Special functions Theoretical Primary 65M99 Secoundary 42C99 Wave equation Grid pattern Initial condition Numerical linear algebra Acoustics Algorithm Green function Wavefront Numerical analysis Pseudospectral method Numerical solution Hyperbolic equation Oscillation A priori estimation Condition number Two-dimensional calculations Finite difference method
ISSN:	0029-599X, 0945-3245
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