A posteriori error estimates of discontinuous Galerkin methods for the Signorini problem
A reliable and efficient a posteriori error estimator is derived for a class of discontinuous Galerkin (DG) methods for the Signorini problem. A common property shared by many DG methods leads to a unified error analysis with the help of a constraint preserving enriching map. The error estimator of...
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| Veröffentlicht in: | Journal of computational and applied mathematics 2016-01, Vol.292, p.257-278 |
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| container_title | Journal of computational and applied mathematics |
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| creator | Gudi, Thirupathi Porwal, Kamana |
| description | A reliable and efficient a posteriori error estimator is derived for a class of discontinuous Galerkin (DG) methods for the Signorini problem. A common property shared by many DG methods leads to a unified error analysis with the help of a constraint preserving enriching map. The error estimator of DG methods is comparable with the error estimator of the conforming methods. Numerical experiments illustrate the performance of the error estimator. |
| doi_str_mv | 10.1016/j.cam.2015.07.008 |
| format | Article |
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| ispartof | Journal of computational and applied mathematics, 2016-01, Vol.292, p.257-278 |
| issn | 0377-0427 1879-1778 |
| language | eng |
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| source | Elsevier ScienceDirect Journals Complete; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals |
| subjects | A posteriori error estimate Computation Discontinuous Galerkin Error analysis Errors Estimates Estimators Finite element Galerkin methods Lagrange multiplier Mathematical models Preserving Signorini problem Variational inequalities |
| title | A posteriori error estimates of discontinuous Galerkin methods for the Signorini problem |
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