14 citations · 18 across the 3 of their papers we have counts for
4 papers
Adaptive space-time BEM for the heat equation
Gregor Gantner, Raymond van Venetië
We consider the space-time boundary element method (BEM) for the heat equation with prescribed initial and Dirichlet data. We propose a residual-type a posteriori error estimator t…
A wavelet-in-time, finite element-in-space adaptive method for parabolic evolution equations
Rob Stevenson, Raymond van Venetië, Jan Westerdiep
In this work, an -linearly converging adaptive solver is constructed for parabolic evolution equations in a simultaneous space-time variational formulation. Exploiting the produ…
A parallel algorithm for solving linear parabolic evolution equations
Raymond van Venetië, Jan Westerdiep
We present an algorithm for the solution of a simultaneous space-time discretization of linear parabolic evolution equations with a symmetric differential operator in space. Buildi…
Uniform preconditioners for problems of negative order
Rob Stevenson, Raymond van Venetië
Uniform preconditioners for operators of negative order discretized by (dis)continuous piecewise polynomials of any order are constructed from a boundedly invertible operator of op…