Functional a posteriori error estimates for boundary element methods
Functional error estimates are well-established tools for a posteriori error estimation and related adaptive mesh-refinement for the finite element method (FEM). The present work proposes a first functional error estimate for the boundary element method (BEM). One key feature is that the derived err...
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| Veröffentlicht in: | Numerische Mathematik 2021-04, Vol.147 (4), p.937-966 |
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| container_issue | 4 |
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| container_title | Numerische Mathematik |
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| creator | Kurz, Stefan Pauly, Dirk Praetorius, Dirk Repin, Sergey Sebastian, Daniel |
| description | Functional error estimates are well-established tools for
a posteriori
error estimation and related adaptive mesh-refinement for the finite element method (FEM). The present work proposes a first functional error estimate for the boundary element method (BEM). One key feature is that the derived error estimates are independent of the BEM discretization and provide guaranteed lower and upper bounds for the unknown error. In particular, our analysis covers Galerkin BEM and the collocation method, what makes the approach of particular interest for scientific computations and engineering applications. Numerical experiments for the Laplace problem confirm the theoretical results. |
| doi_str_mv | 10.1007/s00211-021-01188-6 |
| format | Article |
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| subjects | Boundary element method Collocation methods Error analysis Estimates Finite element method Mathematical analysis Mathematical and Computational Engineering Mathematical and Computational Physics Mathematical Methods in Physics Mathematics Mathematics and Statistics Numerical Analysis Numerical and Computational Physics Simulation Theoretical Upper bounds |
| title | Functional a posteriori error estimates for boundary element methods |
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