Application of the Mesh Independence Principle to Mesh Refinement Strategies
Copyright policy )Application of the Mesh Independence Principle to Mesh Refinement Strategies
In structure the algorithm proposed here resembles the coarse-to-fine portion of a multigrid method for boundary-value problems for nonlinear elliptic equations. Starting with the coarsest grid and proceeding to the finest, a small number of Newton iterations is performed on each grid and the approximate solution is imbedded into the next finer grid. The method is applied to several two-point boundary-value problems for differential and integrodifferential equations.
- Colorado State University United States
- Philipps-University of Marburg Germany
Numerical solution of boundary value problems involving ordinary differential equations, Integro-ordinary differential equations, Nonlinear boundary value problems for ordinary differential equations, mesh refinements, Newton iterations, Numerical computation of solutions to systems of equations, Mesh generation, refinement, and adaptive methods for ordinary differential equations, multigrid method, Numerical methods for integral equations, mesh independence principle
Numerical solution of boundary value problems involving ordinary differential equations, Integro-ordinary differential equations, Nonlinear boundary value problems for ordinary differential equations, mesh refinements, Newton iterations, Numerical computation of solutions to systems of equations, Mesh generation, refinement, and adaptive methods for ordinary differential equations, multigrid method, Numerical methods for integral equations, mesh independence principle
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