3 papers
math.NA2017
An optimal adaptive Fictitious Domain Method
Stefano Berrone, Andrea Bonito, Rob Stevenson +1
We consider a Fictitious Domain formulation of an elliptic partial differential equation and approximate the resulting saddle-point system using an inexact preconditioned Uzawa ite…
math.NA2017
An optimal adaptive wavelet method for First Order System Least Squares
Nikolaos Rekatsinas, Rob Stevenson
In this paper, it is shown that any well-posed 2nd order PDE can be reformulated as a well-posed first order least squares system. This system will be solved by an adaptive wavelet…
math.NA2015
Adaptive Spectral Galerkin Methods with Dynamic Marking
Claudio Canuto, Ricardo H. Nochetto, Rob Stevenson +1
The convergence and optimality theory of adaptive Galerkin methods is almost exclusively based on the Dörfler marking. This entails a fixed parameter and leads to a contraction con…