High accuracy analysis of the finite element method for nonlinear viscoelastic wave equations with nonlinear boundary conditions |
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Authors: | Dongyang Shi Buying Zhang |
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Institution: | 1.Department of Mathematics,Zhengzhou University,Zhengzhou,China |
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Abstract: | The standard finite elements of degree p over the rectangular meshes are applied to solve a kind of nonlinear viscoelastic wave equations with nonlinear boundary
conditions, and the superclose property of the continuous Galerkin approximation is derived without using the nonclassical
elliptic projection of the exact solution of the model problem. The global superconvergence of one order higher than the traditional
error estimate is also obtained through the postprocessing technique. |
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