A framework for nonconforming mixed finite element method for elliptic problems in \(\mathbb{R}^3\) (Q2176021)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A framework for nonconforming mixed finite element method for elliptic problems in \(\mathbb{R}^3\) |
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A framework for nonconforming mixed finite element method for elliptic problems in \(\mathbb{R}^3\) (English)
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30 April 2020
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Summary: In this paper, we suggest a new patch condition for nonconforming mixed finite elements (MFEs) on parallelepiped and provide a framework for the convergence. Also, we introduce a new family of nonconforming MFE space satisfying the new patch condition. The numerical experiments show that the new MFE shows optimal order convergence in \(H(\operatorname{div})\) and \(L^2\)-norm for various problems with discontinuous coefficient case.
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