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半线性抛物方程各向异性有限元逼近 被引量:5

The Finite Element Approximation for Semilinear Parabolic Equation on Anisotropic Meshes
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摘要 利用有限元方法对半线性抛物方程的各向异性双线性有限元逼近进行了研究,得到了相应的超逼近和超收敛性结果.最后的数值算例验证了理论分析的正确性. The bilinear finite element approximation for semilinear parabolic equations on anisotropic meshes is studied by the finite element method,and the superclose property and superconvergence are obtained.Finally the numerical results are given to verify the theoretical analysis.
作者 马戈 黄堃
出处 《江西师范大学学报(自然科学版)》 CAS 北大核心 2010年第5期480-483,494,共5页 Journal of Jiangxi Normal University(Natural Science Edition)
基金 国家自然科学基金(10671184 10971203)资助项目
关键词 半线性抛物方程 各向异性网格 超逼近和超收敛 semilinear parabolic equations anisotropic meshes superclose and superconvergence
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