Publication: A posteriori error estimation for the Dirichlet problem with account of the error in the approximation of boundary conditions
A posteriori error estimation for the Dirichlet problem with account of the error in the approximation of boundary conditions
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Repin, S., Sauter, S., & Smolianski, A. (2003). A posteriori error estimation for the Dirichlet problem with account of the error in the approximation of boundary conditions. Computing, 70(3), 205–233. https://doi.org/10.1007/s00607-003-0013-7
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The present work is devoted to the a posteriori error estimation for 2nd order elliptic problems with Dirichlet boundary conditions. Using the duality technique we derive the reliable and efficient a posteriori error estimator that measures the error in the energy norm. The estimator can be used in assessing the error of any approximate solution which belongs to the Sobolev space H1, independently of the discretization method chosen. In particular, our error estimator can be applied also to problems and discretizations where the Galer
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- Repin, S
- Sauter, S
- Smolianski, A
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Repin, S., Sauter, S., & Smolianski, A. (2003). A posteriori error estimation for the Dirichlet problem with account of the error in the approximation of boundary conditions. Computing, 70(3), 205–233. https://doi.org/10.1007/s00607-003-0013-7
