2 papers
math.NA2020
Convergence and quasi-optimal cost of adaptive algorithms for nonlinear operators including iterative linearization and algebraic solver
Alexander Haberl, Dirk Praetorius, Stefan Schimanko +1
We consider a second-order elliptic boundary value problem with strongly monotone and Lipschitz-continuous nonlinearity. We design and study its adaptive numerical approximation in…
math.NA2019
Adaptive boundary element methods for the computation of the electrostatic capacity on complex polyhedra
Timo Betcke, Alexander Haberl, Dirk Praetorius
The accurate computation of the electrostatic capacity of three dimensional objects is a fascinating benchmark problem with a long and rich history. In particular, the capacity of…