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A posteriori error estimation for nonlinear variational problems |
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| Affiliation: | 1. Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 16, 69120 Heidelberg, Germany;2. Nuclear Science Division, Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA;1. Mathematics of Computational Science Group, Dept. of Applied Mathematics, University of Twente, P.O. Box 217, 7500 AE, Enschede, The Netherlands;2. School of Mathematics, University of Leeds, LS2 9JT, Leeds, United Kingdom |
| Abstract: | We introduce a new modus operandi for a posteriori error estimation for nonlinear (and linear) variational problems based on the duality theory of the calculus of variations. We derive what we call duality error estimates and show that they yield computable a posteriori error estimates without directly solving the dual problem. |
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