Galerkin finite element approximation of symmetric space-fractional partial differential equations (Q606815)
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scientific article; zbMATH DE number 5817344
| Language | Label | Description | Also known as |
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| English | Galerkin finite element approximation of symmetric space-fractional partial differential equations |
scientific article; zbMATH DE number 5817344 |
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Galerkin finite element approximation of symmetric space-fractional partial differential equations (English)
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18 November 2010
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The paper deals with the numerical approximation of space-fractional PDE with Riesz fractional derivatives by the Galerkin FEM. The well-posedness of its weak solution and the corresponding fully discrete scheme are proved. A detailed stability and convergence analysis of the implicit Galerkin finite element fully discrete system is carried out. Three numerical examples are given.
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Galerkin finite element approximation
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space-fractional partial differential equations
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stability
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convergence
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