Multilevel Newton h-p Collocation
Please always quote using this URN: urn:nbn:de:0297-zib-1530
- We derive a simple accuracy matching strategy for inexact Gauss Newton methods and apply it to the numerical solution of boundary value problems of ordinary differential equations by collocation. The matching strategy is based on an affine contravariant convergence theorem, i. e. , the characteristic constants are invariant under affine transformations of the domain. The inexact Gauss Newton method is applied to an integral formulation of the BVP. As discretization for the arising linear subproblems we employ adaptive collocation at Gaussian nodes with varying local orders and stepsizes. The grids are chosen via adaptive refinement and order selection.
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| Author: | Andreas Hohmann |
|---|---|
| Document Type: | ZIB-Report |
| Date of first Publication: | 1994/10/06 |
| Series (Serial Number): | ZIB-Report (SC-94-25) |
| ZIB-Reportnumber: | SC-94-25 |
