Fast iterative methods for solving of nonlinear weakly singular integral equations on smooth or nonsmooth boundary (Q1286537)
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scientific article; zbMATH DE number 1283809
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fast iterative methods for solving of nonlinear weakly singular integral equations on smooth or nonsmooth boundary |
scientific article; zbMATH DE number 1283809 |
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Fast iterative methods for solving of nonlinear weakly singular integral equations on smooth or nonsmooth boundary (English)
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10 July 2000
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The author considers a boundary integral equation on smooth and non-smooth boundaries arising in a 2D nonlinear Neumann problem for the Laplacian. The paper discusses existence and uniqueness of solutions and proposes a Newton-type algorithm for solving the integral equation. Moreover, error bounds, various kinds of preconditioners and numerical examples are presented.
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nonlinear boundary integral equation
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collocation
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iterative method
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preconditioners
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Laplace equation
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nonlinear Neumann problem
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Newton-type algorithm
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error bounds
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numerical examples
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