Journal article
A posteriori error analysis for linearization of nonlinear elliptic problems and their discretizations
Mathematical methods in the applied sciences, Vol.17(7), pp.487-508
1994
DOI: 10.1002/mma.1670170702
Abstract
The paper is devoted to a posteriori quantitative analysis for errors caused by linearization of non‐linear elliptic boundary value problems and their finite element realizations. We employ duality theory in convex analysis to derive computable bounds on the difference between the solution of a non‐linear problem and the solution of the linearized problem, by using the solution of the linearized problem only. We also derive computable bounds on differences between finite element solutions of the nonlinear problem and finite element solutions of the linearized problem, by using finite element solutions of the linearized problem only. Numerical experiments show that our a posteriori error bounds are efficient.
Details
- Title: Subtitle
- A posteriori error analysis for linearization of nonlinear elliptic problems and their discretizations
- Creators
- Weimin Han
- Resource Type
- Journal article
- Publication Details
- Mathematical methods in the applied sciences, Vol.17(7), pp.487-508
- DOI
- 10.1002/mma.1670170702
- ISSN
- 0170-4214
- eISSN
- 1099-1476
- Language
- English
- Date published
- 1994
- Academic Unit
- Mathematics
- Record Identifier
- 9983985872202771
Metrics
26 Record Views