A note on finite difference discretizations for Poisson equation on a disk (Q2725052)
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scientific article; zbMATH DE number 1618695
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on finite difference discretizations for Poisson equation on a disk |
scientific article; zbMATH DE number 1618695 |
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A note on finite difference discretizations for Poisson equation on a disk (English)
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12 May 2002
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polar coordinate singularity
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half-integer grid
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Poisson equation
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finite difference method
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numerical tests
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Helmholtz type equations
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A finite difference discretization is presented for the Poisson equation (rewritten by applying the polar coordinate transformation) on the unit disk \(\Omega= \{(x,y): x^2+ y^2< 1\}\). Two numerical tests for the new finite difference discretization are performed. The present discretization can be applied with slight modification to Helmholtz type equations.
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