A Posteriori Error Estimates with Boundary Correction for a Cut Finite Element Method
arXiv:1906.00879 · doi:10.1093/imanum/draa085
Abstract
In this work we study a residual based a posteriori error estimation for the CutFEM method applied to an elliptic model problem. We consider the problem with non-polygonal boundary and the analysis takes into account the geometry and data approximation on the boundary. The reliability and efficiency are theoretically proved. Moreover, constants are robust with respect to how the domain boundary cuts the mesh.
arXiv comment25 pages, 14 Figures
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- Residual-based error estimation and adaptivity for stabilized immersed isogeometric analysis using truncated hierarchical B-splines
- An adaptive high-order unfitted finite element method for elliptic interface problems
- Flux recovery for Cut finite element method and its application in a posteriori error estimation
- Local-basis Difference Potentials Method for elliptic PDEs in complex geometry