New results concerning the DWR method for some nonconforming FEM. (Q1941779)
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scientific article; zbMATH DE number 6147974
| Language | Label | Description | Also known as |
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| English | New results concerning the DWR method for some nonconforming FEM. |
scientific article; zbMATH DE number 6147974 |
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New results concerning the DWR method for some nonconforming FEM. (English)
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21 March 2013
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This paper deals with the dual-weighted residual (DWR) method for a posteriori error estimation in the case of a class of nonconforming finite element methods (FEMs). The method is presented using a model problem of two-dimensional Poisson equation with homogeneous Dirichlet boundary conditions. The author uses the Helmholtz decomposition and derives new error identities. These results are then applied to two particular nonconforming finite elements, and corresponding error indicators are derived.
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Poisson equation
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finite element method
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a posteriori error estimates
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dual-weighted residual method
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Helmholtz decomposition
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