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A new alternating-direction finite element method for hyperbolic equation

โœ Scribed by Zhiyue Zhang; Dingwen Deng

Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
274 KB
Volume
23
Category
Article
ISSN
0749-159X

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โœฆ Synopsis

Abstract

A modified backward difference time discretization is presented for Galerkin approximations for nonlinear hyperbolic equation in two space variables. This procedure uses a local approximation of the coefficients based on patches of finite elements with these procedures, a multidimensional problem can be solved as a series of oneโ€dimensional problems. Optimal order H~0~^1^ and L^2^ error estimates are derived. ยฉ 2007 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2007

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