Analysis of the discontinuous Galerkin method for elliptic problems on surfaces (Q2841061)
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scientific article; zbMATH DE number 6190570
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Analysis of the discontinuous Galerkin method for elliptic problems on surfaces |
scientific article; zbMATH DE number 6190570 |
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Analysis of the discontinuous Galerkin method for elliptic problems on surfaces (English)
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24 July 2013
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elliptic problems
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interior penalty discontinuous Galerkin method
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surface partial differential equations
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error analysis
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convergence
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finite element method
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This paper investigates the issues arising when attempting to apply discontinuous Galerkin methods to problems on surfaces. The authors show that the additional geometric error terms arising when approximating the surface scale in such a way that they do not affect the convergence rates proved and observed for the standard finite element method, when using the linear ansatz functions.
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