R. Stevenson

activity

20132023

most citedStability of Galerkin discretizations of a mixed space-time variational formulation of parabolic evolution equations

42 citations · 176 across the 19 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.NA2018

Adaptive Strategies for Transport Equations

W. Dahmen, R. P. Stevenson

This paper is concerned with a posteriori error bounds for linear transport equations and related questions of contriving corresponding adaptive solution strategies in the context…

math.NA2018

A quadratic finite element wavelet Riesz basis

Nikolaos Rekatsinas, Rob Stevenson

In this paper, continuous piecewise quadratic finite element wavelets are constructed on general polygons in $R^{2}$ . The wavelets are stable in $H^{s}$ for $∣ s ∣ < \frac{3}{2}$ …

math.NA2018

A saturation property for the spectral-Galerkin approximation of a Dirichlet problem in a square

Claudio Canuto, Ricardo H. Nochetto, Rob Stevenson +1

Both practice and analysis of adaptive $p$ -FEMs and $h p$ -FEMs raise the question what increment in the current polynomial degree $p$ guarantees a $p$ -independent reduction of the G…