Fourth-order modified method for the Cauchy problem for the Laplace equation (Q2491644)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fourth-order modified method for the Cauchy problem for the Laplace equation |
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Fourth-order modified method for the Cauchy problem for the Laplace equation (English)
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29 May 2006
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A Cauchy problem for the Laplace equation in a strip is presented. The equation is modified by adding a fourth order mixed derivative with a coefficient that serves as a regularization parameter. It is shown that for a certain choice of the parameter the error estimate is of almost Hölders type. Numerical experiments are performed for illustration.
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ill-posed problems
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Laplace equation
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Cauchy problem
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regularization
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error estimate
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numerical experiments
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