Robin Schwarz algorithm for the NICEM method: the \(\mathbf{P}_q\) finite element case (Q2927820)
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scientific article; zbMATH DE number 6365768
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Robin Schwarz algorithm for the NICEM method: the \(\mathbf{P}_q\) finite element case |
scientific article; zbMATH DE number 6365768 |
Statements
4 November 2014
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optimized Schwarz domain decomposition
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Robin transmission condition
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finite element method
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nonconforming grid
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error analysis
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piecewise polynomials of high order
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interface cement equilibrated mortar method
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iterative algorithm
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convergence
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numerical simulation
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Robin Schwarz algorithm for the NICEM method: the \(\mathbf{P}_q\) finite element case (English)
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The new interface cement equilibrated mortar (NICEM) method previously introduced by the authors is reconsidered. They extend the numerical analysis in 2D for piecewise polynomials of higher order than one. They also provide a Robin iterative algorithm at the continuous and discrete levels and prove its convergence for polynomials of low and high order in 2D, and for finite elements based on polynomials of order one in 3D. The convergence is also proven in 3D for higher order than one finite elements, in a weak sense. Some numerical simulations, concerning two and four subdomains are carried out in order to illustrate the theoretical results.
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