32 citations · 91 across the 6 of their papers we have counts for
6 papers
Stable implementation of adaptive IGABEM in 2D in MATLAB
Gregor Gantner, Dirk Praetorius, Stefan Schimanko
We report on our MATLAB program package IGABEM2D, which provides an easily accessible implementation of adaptive Galerkin boundary element methods in the frame of isogeometric anal…
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…
Rate optimality of adaptive finite element methods with respect to the overall computational costs
Gregor Gantner, Alexander Haberl, Dirk Praetorius +1
We consider adaptive finite element methods for second-order elliptic PDEs, where the arising discrete systems are not solved exactly. For contractive iterative solvers, we formula…
Adaptive isogeometric boundary element methods with local smoothness control
Gregor Gantner, Dirk Praetorius, Stefan Schimanko
In the frame of isogeometric analysis, we consider a Galerkin boundary element discretization of the hyper-singular integral equation associated with the 2D Laplacian. We propose a…
Optimal additive Schwarz preconditioning for adaptive 2D IGA boundary element methods
Thomas Führer, Gregor Gantner, Dirk Praetorius +1
We define and analyze (local) multilevel diagonal preconditioners for isogeometric boundary elements on locally refined meshes in two dimensions. Hypersingular and weakly-singular…
Adaptive BEM with inexact PCG solver yields almost optimal computational costs
Thomas Führer, Alexander Haberl, Dirk Praetorius +1
We consider the preconditioned conjugate gradient method (PCG) with optimal preconditioner in the frame of the boundary element method (BEM) for elliptic first-kind integral equati…