Tensor-structured preconditioners and approximate inverse of elliptic operators in \(\mathbb R^{d}\) (Q843722)
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scientific article; zbMATH DE number 5659506
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Tensor-structured preconditioners and approximate inverse of elliptic operators in \(\mathbb R^{d}\) |
scientific article; zbMATH DE number 5659506 |
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Tensor-structured preconditioners and approximate inverse of elliptic operators in \(\mathbb R^{d}\) (English)
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15 January 2010
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The author analyses a class of tensor-structured preconditioners for the multidimensional second-order elliptic operators in \(\mathbb{R}^d, d \geq 2\) as well as possible applications of the separable approximation for the free-space Green's kernels in finite element-boundary element coupling methods and in the Green function formulation. Numerical experiments illustrate the efficiency of low tensor-rank approximation for Green's kernels.
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preconditioning
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high dimensions
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boundary value problems
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spectral problems
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tensor approximation
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Green's kernels
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elliptic resolvent
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second-order elliptic operators
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numerical experiments
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0.9195574
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0.90549076
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0.8970938
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0.8953239
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0.89376485
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0.89329535
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0.89195085
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0.88103956
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0.88093793
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