A two-grid algorithm based on expanded mixed element discretizations for strongly nonlinear elliptic equations (Q745226)
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scientific article; zbMATH DE number 6493752
| Language | Label | Description | Also known as |
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| English | A two-grid algorithm based on expanded mixed element discretizations for strongly nonlinear elliptic equations |
scientific article; zbMATH DE number 6493752 |
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A two-grid algorithm based on expanded mixed element discretizations for strongly nonlinear elliptic equations (English)
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13 October 2015
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This paper deals with two-grid expanded mixed discretization techniques for the nonlinear Hamilton-Jacobi-Bellman problem with the source term \(f\) dependent on \(p\) and \(\nabla p\). It is proven that this formulation has a unique solution and is equivalent to the original partial differential problem. To illustrate the efficiency and accuracy of presented two-grid algorithm, the authors examine three numerical examples.
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two-grid method
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nonlinear elliptic equations
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expanded mixed finite element method
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error estimates
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nonlinear Hamilton-Jacobi-Bellman problem
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numerical example
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