Mathematical Properties and Asymptotic Error Estimates for Elliptic Boundary Element Methods

1988 ◽  
pp. 475-489
Author(s):  
W. L. Wendland
Keyword(s):  
Boundary Element ◽  
Error Estimates ◽  
Elliptic Boundary ◽  
Boundary Element Methods ◽  
Mathematical Properties ◽  
Asymptotic Error

A posterior error estimates for hp—boundary element methods

1996 ◽  
Vol 61 (3-4) ◽  
pp. 233-253 ◽  
Author(s):  
Carsten Carstensen ◽  
Stefan A. funken ◽  
Ernst P. Stephan
Keyword(s):  
Boundary Element ◽  
Error Estimates ◽  
Boundary Element Methods ◽  
A Posterior Error

scholarly journals Functional a posteriori error estimates for boundary element methods

2021 ◽  
Author(s):  
Stefan Kurz ◽  
Dirk Pauly ◽  
Dirk Praetorius ◽  
Sergey Repin ◽  
Daniel Sebastian
Keyword(s):  
Boundary Element ◽  
Error Estimates ◽  
Adaptive Mesh Refinement ◽  
A Posteriori Error Estimates ◽  
Adaptive Mesh ◽  
Posteriori Error ◽  
Boundary Element Methods ◽  
A Posteriori ◽  
The Finite Element Method ◽  
Element Method

AbstractFunctional 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.

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