3 citations · 3 across the 4 of their papers we have counts for
4 papers
Optimal convergence of adaptive BEM driven by functional-type error estimators
Maximilian Brunner, Alexander Freiszlinger, Dirk Pauly +1
In the present work, we derive functional upper bounds for the potential error arising from boundary element discretizations of the Laplace-Dirichlet problem. These bounds are base…
New a posteriori error estimates for full-space transmission problems
Alexander Freiszlinger, Dirk Pauly, Dirk Praetorius +1
In the present work, we derive functional upper bounds for the potential error arising from finite-element boundary-element coupling formulations for a nonlinear Poisson-type trans…
Convergence of adaptive boundary element methods driven by functional a posteriori error estimates
Alexander Freiszlinger, Dirk Pauly, Dirk Praetorius
The recent work [Kurz et al., Numer. Math., 147 (2021)] proposed functional a posteriori error estimates for boundary element methods (BEMs) together with a related adaptive mesh-r…
Conforming and Non-Conforming Functional A Posteriori Error Estimates for Elliptic Boundary Value Problems in Exterior Domains: Theory and Numerical Tests
Olli Mali, Alexey Muzalevskiy, Dirk Pauly
This paper is concerned with the derivation of conforming and non-conforming functional a posteriori error estimates for elliptic boundary value problems in exterior domains. These…