Optimal a priori error estimates for the \(hp\)-version of the local discontinuous Galerkin method for convection-diffusion problems (Q2781205)
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scientific article; zbMATH DE number 1720956
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Optimal a priori error estimates for the \(hp\)-version of the local discontinuous Galerkin method for convection-diffusion problems |
scientific article; zbMATH DE number 1720956 |
Statements
19 March 2002
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a priori error estimate
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one-dimensional convection-diffusion equation
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approximating polynomial
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locally conservative method.
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\(hp\)-version
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local discontinuous Galerkin method
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Optimal a priori error estimates for the \(hp\)-version of the local discontinuous Galerkin method for convection-diffusion problems (English)
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The paper contains an a priori error estimate for the Galerkin method for one-dimensional convection-diffusion problem with Dirichlet boundary conditions. The error analysis takes into account both the meshsize of the element, \(h\), and the degree of the approximating polynomial in it, \(p\). This method is locally conservative and does not require any inter-element continuity. The results of the paper are some a priori estimates that are optimal both in \(h\) and \(p\).
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