Iain Smears

activity

20112026

most citedOn the Convergence of Finite Element Methods for Hamilton-Jacobi-Bellman Equations

60 citations · 361 across the 27 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math.NA2017★ 23 cited

An adaptive $h p$ -refinement strategy with computable guaranteed bound on the error reduction factor

Patrik Daniel, Alexandre Ern, Iain Smears +1

We propose a new practical adaptive refinement strategy for $h p$ -finite element approximations of elliptic problems. Following recent theoretical developments in polynomial-degree-…

math.NA2017★ 9 cited

On the notion of boundary conditions in comparison principles for viscosity solutions

Max Jensen, Iain Smears

We collect examples of boundary-value problems of Dirichlet and Dirichlet-Neumann type which we found instructive when designing and analysing numerical methods for fully nonlinear…

math.NA2017★ 17 cited

Equilibrated flux a posteriori error estimates in $L^{2} (H^{1})$ -norms for high-order discretizations of parabolic problems

Alexandre Ern, Iain Smears, Martin Vohralik

We consider the a posteriori error analysis of fully discrete approximations of parabolic problems based on conforming $h p$ -finite element methods in space and an arbitrary order d…

An adaptive hp-refinement strategy with computable guaranteed bound on the error reduction factor

On the notion of boundary conditions in comparison principles for viscosity solutions

Equilibrated flux a posteriori error estimates in L2(H1)-norms for high-order discretizations of parabolic problems

An adaptive $h p$ -refinement strategy with computable guaranteed bound on the error reduction factor

Equilibrated flux a posteriori error estimates in $L^{2} (H^{1})$ -norms for high-order discretizations of parabolic problems