Convergence analysis of an upwind finite volume element method with crouzeix-raviart element for non-selfadjoint and indefinite problems (Q1001314)
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scientific article; zbMATH DE number 5508634
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence analysis of an upwind finite volume element method with crouzeix-raviart element for non-selfadjoint and indefinite problems |
scientific article; zbMATH DE number 5508634 |
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Convergence analysis of an upwind finite volume element method with crouzeix-raviart element for non-selfadjoint and indefinite problems (English)
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17 February 2009
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Based on Crouzeix-Raviart non-conforming elements for self-adjoint elliptic problems, the authors construct an upwind finite volume element scheme. An optimal order \(H^1\)-norm error estimate is established. Moreover, under minimal elliptic regularity assumption, the authors obtain a uniform convergence.
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Finite volume element method
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upwind method
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Crouzeix-Raviart element
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convergence
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convection-diffusion problem
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self-adjoint elliptic problems
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error estimate
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