Computation of volume potentials over bounded domains via approximate approximations (Q354825)
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scientific article; zbMATH DE number 6189869
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Computation of volume potentials over bounded domains via approximate approximations |
scientific article; zbMATH DE number 6189869 |
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Computation of volume potentials over bounded domains via approximate approximations (English)
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22 July 2013
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The authors obtain cubature formulas of volume potentials over bounded domains combining the basis functions introduced in the theory of approximate approximations with their integration over the tangential-halfspace. Then the computation is reduced to the quadrature of one-dimension integrals over the halfspace. The authors show that these formulas give very accurate approximations and confirm the predicted order of convergence.
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Helmholtz operator
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volume potential
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bounded domains
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cubature formula
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approximate approximation
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convergence
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0.89481294
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0.89401186
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0.8834492
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0.88232434
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0.88177407
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0.8777102
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0.87698245
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0.87527037
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