3 papers
math.NA2026
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…
math.NA2026
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…
math.NA2025
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…