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Convergence of FEM with interpolated coefficients for semilinear hyperbolic equation

โœ Scribed by Zhiguang Xiong; Yanping Chen; Yan Zhang

Book ID
104005476
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
132 KB
Volume
214
Category
Article
ISSN
0377-0427

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โœฆ Synopsis

To solve spatially semidiscrete approximative solution of a class of semilinear hyperbolic equations, the finite element method (FEM) with interpolated coefficients is discussed. By use of semidiscrete finite element for linear problem as comparative function, the error estimate in L โˆž -norm is derived by the nonlinear argument in Chen [Structure theory of superconvergence of finite elements, Hunan Press of Science and Technology, Changsha, 2001 (in Chinese)]. This indicates that convergence of FEMs with interpolated coefficients for a semilinear equation is similar to that of classical FEMs.

๐Ÿ“œ SIMILAR VOLUMES

Finite volume element method with interp
Finite volume element method with interpolated coefficients for two-point boundary value problem of semilinear differential equations
โœ Zhiguang Xiong; Yanping Chen ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 191 KB

In this paper we extend the idea of interpolated coefficients for semilinear problems to the finite volume element methods. At first we introduce linear finite volume element method with interpolated coefficients for two-point boundary value problem of semilinear differential equations. Next we deri