41 citations · 369 across the 28 of their papers we have counts for
4 papers · 1 filter
Plain convergence of adaptive algorithms without exploiting reliability and efficiency
Gregor Gantner, Dirk Praetorius
We consider h-adaptive algorithms in the context of the finite element method (FEM) and the boundary element method (BEM). Under quite general assumptions on the building blocks SO…
Further results on a space-time FOSLS formulation of parabolic PDEs
Gregor Gantner, Rob Stevenson
In [2019, Space-time least-squares finite elements for parabolic equations, arXiv:1911.01942] by Führer& Karkulik, well-posedness of a space-time First-Order System Least-Squares f…
Adaptive BEM for elliptic PDE systems, Part I: Abstract framework for weakly-singular integral equations
Gregor Gantner, Dirk Praetorius
In the present work, we consider weakly-singular integral equations arising from linear second-order strongly-elliptic PDE systems with constant coefficients, including, e.g., line…
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…