Lagrange interpolation and finite element superconvergence
نویسندگان
چکیده
منابع مشابه
Lagrange Interpolation and Finite Element Superconvergence
Abstract. We consider the finite element approximation of the Laplacian operator with the homogeneous Dirichlet boundary condition, and study the corresponding Lagrange interpolation in the context of finite element superconvergence. For ddimensional Qk-type elements with d ≥ 1 and k ≥ 1, we prove that the interpolation points must be the Lobatto points if the Lagrange interpolation and the fin...
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ژورنال
عنوان ژورنال: Numerical Methods for Partial Differential Equations
سال: 2003
ISSN: 0749-159X,1098-2426
DOI: 10.1002/num.10078