Optimal order error estimates of a modified nonconforming rotated \(Q_1\) IFEM for interface problems (Q2004099)
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scientific article; zbMATH DE number 7260838
| Language | Label | Description | Also known as |
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| English | Optimal order error estimates of a modified nonconforming rotated \(Q_1\) IFEM for interface problems |
scientific article; zbMATH DE number 7260838 |
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Optimal order error estimates of a modified nonconforming rotated \(Q_1\) IFEM for interface problems (English)
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14 October 2020
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Summary: This paper presents a new numerical method and analysis for solving second-order elliptic interface problems. The method uses a modified nonconforming rotated \(Q_1\) immersed finite element (IFE) space to discretize the state equation required in the variational discretization approach. Optimal order error estimates are derived in \(L^2\)-norm and broken energy norm. Numerical examples are provided to confirm the theoretical results.
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