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A lumped mass nonconforming finite element method for nonlinear parabolic integro-differential equations on anisotropic meshes 被引量:6

A lumped mass nonconforming finite element method for nonlinear parabolic integro-differential equations on anisotropic meshes
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摘要 A lumped mass approximation scheme of a low order Crouzeix-Raviart type noncon- forming triangular finite element is proposed to a kind of nonlinear parabolic integro-differential equations. The L2 error estimate is derived on anisotropic meshes without referring to the traditional nonclassical elliptic projection. A lumped mass approximation scheme of a low order Crouzeix-Raviart type noncon- forming triangular finite element is proposed to a kind of nonlinear parabolic integro-differential equations. The L2 error estimate is derived on anisotropic meshes without referring to the traditional nonclassical elliptic projection.
出处 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2009年第1期97-104,共8页 高校应用数学学报(英文版)(B辑)
基金 Supported by the National Natural Science Foundation of China (10671184)
关键词 nonlinear parabolic integro-differential equation nonconforming finite element anisotropic mesh lumped mass error estimate nonlinear parabolic integro-differential equation, nonconforming finite element, anisotropic mesh, lumped mass, error estimate
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