Finite element and DG analysis for neutral-type Volterra integro-differential equations with weakly singular kernels (Q1025048)
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scientific article; zbMATH DE number 5566266
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finite element and DG analysis for neutral-type Volterra integro-differential equations with weakly singular kernels |
scientific article; zbMATH DE number 5566266 |
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Finite element and DG analysis for neutral-type Volterra integro-differential equations with weakly singular kernels (English)
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18 June 2009
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The authors use finite element and discontinuous Galerkin (DG) methods to investigate the numerical solution of neutral-type Volterra integro differential equations with weakly singular kernels. A DG time stepping method for the semi discretized equation with fully discretized form is discussed. By defining a suitable Ritz Volterra projection operator a priori error estimates for the finite element method semi-discretization of the discussed problem is given.
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Volterra integro differential equations of neutral type with weakly singular kernels
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discontinuous Galerkin time-stepping methods
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finite element methods
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time stepping method
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Ritz Volterra projection operator
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a priori error estimates
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semi-discretization
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0.9070627
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0.90346074
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0.9025156
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0.88881326
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0.8880866
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0.8860074
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0.88258314
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0.88216805
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