A two-grid method for solving elliptic problems with inhomogeneous boundary conditions (Q1842820)
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scientific article; zbMATH DE number 746279
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A two-grid method for solving elliptic problems with inhomogeneous boundary conditions |
scientific article; zbMATH DE number 746279 |
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A two-grid method for solving elliptic problems with inhomogeneous boundary conditions (English)
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13 November 1995
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The author suggests a Galerkin finite element method using a two-grid technique for solving elliptic problems with inhomogeneous essential boundary conditions. The function at the boundary is approximated by a projection of the given data on a finite-dimensional space. A two-grid method is used in the interior for solving the algebraic system. An analysis of the \(L^ 2\)-error is made. Sample computations for an illustrative problem are given.
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multigrid method
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numerical example
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error bounds
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Galerkin finite element method
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elliptic problems
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inhomogeneous essential boundary conditions
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two-grid method
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