Automated goal-oriented error control. I: Stationary variational problems (Q2847748)
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scientific article; zbMATH DE number 6207554
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Automated goal-oriented error control. I: Stationary variational problems |
scientific article; zbMATH DE number 6207554 |
Statements
11 September 2013
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finite element method
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error control
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dual problem
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nonlinear stationary finite element variational problems
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a posteriori error estimates
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adaptive mesh refinement
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numerical examples
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Automated goal-oriented error control. I: Stationary variational problems (English)
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The paper presents a general and novel approach to the automation of goal-oriented error control in the solution of nonlinear stationary finite element variational problems. The approach is based on automated linearization to obtain the linearized dual problem, automated derivation and evaluation of a posteriori error estimates, and automated adaptive mesh refinement to control the error in a given goal functional to within a given tolerance. Numerical examples are also discussed.
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