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

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Showing 2015Show all

2 papers · 1 filter

math.NA2015

On the stability of DPG formulations of transport equations

D. Broersen, W. Dahmen, R. P. Stevenson

In this paper we formulate and analyze a Discontinuous Petrov Galerkin formulation of linear transport equations with variable convection fields. We show that a corresponding {\em…

math.NA2015★ 6 cited

Convergence and Optimality of hp-AFEM

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

We design and analyze an adaptive $h p$ -finite element method (hp-AFEM) in dimensions $n = 1, 2$ . The algorithm consists of iterating two routines: hp-NEARBEST finds a near-best $h p$ -a…