A residual-type a posteriori error estimate of finite volume element method for a quasi-linear elliptic problem (Q849052)
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scientific article; zbMATH DE number 5674527
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A residual-type a posteriori error estimate of finite volume element method for a quasi-linear elliptic problem |
scientific article; zbMATH DE number 5674527 |
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A residual-type a posteriori error estimate of finite volume element method for a quasi-linear elliptic problem (English)
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24 February 2010
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The aim of this paper is to study the residual-type a posteriori error estimates of the finite volume element (FVE) method for a quasi-linear elliptic problem of nonmonotone type. The authors give an error representation of the FVE method, which reveals the relationship between the FVE and the finite element method and get computable upper and lower bounds on the error in the \(H^1\)-norm. The paper concludes with supporting numerical experiments.
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posteriori error estimates
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finite volume element method
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quasi-linear elliptic problem
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numerical experiments
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error bounds
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