New locally conservative finite element methods on a rectangular mesh (Q1938818)
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scientific article; zbMATH DE number 6138631
| Language | Label | Description | Also known as |
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| English | New locally conservative finite element methods on a rectangular mesh |
scientific article; zbMATH DE number 6138631 |
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New locally conservative finite element methods on a rectangular mesh (English)
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25 February 2013
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The paper proposes a new family of locally conservative finite element methods for a rectangular mesh for solving second-order elliptic equations. The authors generate a partial differential equation-adapted local basis and solve a global matrix system arising from a flux continuity equation. Quadratic and cubic elements are analyzed and optimal order error estimates measured in the energy norm are provided for elliptic equations. Numerical examples are also discussed.
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rectangular mesh
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second-order elliptic equations
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conservative finite element methods
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error estimates
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numerical examples
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