A new alternating‐direction finite element method for hyperbolic equation |
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| Authors: | Zhiyue Zhang Dingwen Deng |
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| Affiliation: | 1. School of Mathematics and Computer Science, Nanjing Normal University, Jiangsu 210097, ChinaSchool of Mathematics and Computer Science, Nanjing Normal University, Jiangsu 210097, China;2. School of Mathematics and Computer Science, Nanjing Normal University, Jiangsu 210097, China |
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| 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 one‐dimensional problems. Optimal order H01 and L2 error estimates are derived. © 2007 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2007 |
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| Keywords: | alternating‐direction implicit method hyperbolic equation patch approximation |
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