A local least-squares method for solving nonlinear partial differential equations of second order (Q998644)
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scientific article; zbMATH DE number 5503892
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A local least-squares method for solving nonlinear partial differential equations of second order |
scientific article; zbMATH DE number 5503892 |
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A local least-squares method for solving nonlinear partial differential equations of second order (English)
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9 February 2009
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A mesh free method for a general partial differential equation (PDE) is considered. The basic idea is based on local least squares approximation, where the PDE is incorporated as an additional minimization constraint. The implementation aspects and numerical simulations are shown for the Laplace equation.
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mesh free method
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nonlinear PDEs
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local least-squares method
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second order
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Laplace equation
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