Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4638529 | Journal of Computational and Applied Mathematics | 2015 | 23 Pages |
Abstract
A goal-oriented a posteriori error estimation of an output functional for elliptic problems is presented. Continuous finite element approximations are used in quadrilateral and triangular meshes. The algorithm is similar to the classical dual-weighted error estimation, however the dual weight contains solutions of the proposed patch problems. The patch problems are introduced to apply Clément and Scott–Zhang type interpolation operators to estimate point values with the finite element polynomials. The algorithm is shown to be reliable, efficient and convergent.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Markus Bürg, Murtazo Nazarov,