On the Convergence of Finite Element Methods for Hamilton-Jacobi-Bellman Equations. - Max Jensen; Iain Smears (SIAM J. Numer. Anal., 2013)

Discontinuous Galerkin Finite Element Approximation of Nondivergence Form Elliptic Equations with Cordès Coefficients. - Iain Smears; Endre Süli (SIAM J. Numer. Anal., 2013)

Discontinuous Galerkin Finite Element Approximation of Hamilton-Jacobi-Bellman Equations with Cordes Coefficients. - Iain Smears; Endre Süli (SIAM J. Numer. Anal., 2014)

Stable Discontinuous Galerkin FEM Without Penalty Parameters. - Lorenz John; Michael Neilan; Iain Smears (ENUMATH, 2015)

Discontinuous Galerkin finite element methods for time-dependent Hamilton-Jacobi-Bellman equations with Cordes coefficients. - Iain Smears; Endre Süli (Numerische Mathematik, 2016)

Guaranteed, Locally Space-Time Efficient, and Polynomial-Degree Robust a Posteriori Error Estimates for High-Order Discretizations of Parabolic Problems. - Alexandre Ern; Iain Smears; Martin Vohralík (SIAM J. Numer. Anal., 2017)

An adaptive hp-refinement strategy with computable guaranteed bound on the error reduction factor. - Patrik Daniel; Alexandre Ern; Iain Smears; Martin Vohralík (Comput. Math. Appl., 2018)

Nonoverlapping Domain Decomposition Preconditioners for Discontinuous Galerkin Approximations of Hamilton-Jacobi-Bellman Equations. - Iain Smears (J. Sci. Comput., 2018)

Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal hp approximation estimates in H(div). - Alexandre Ern; Thirupathi Gudi; Iain Smears; Martin Vohralík (CoRR, 2019)

Time-Parallel Iterative Solvers for Parabolic Evolution Equations. - Martin Neumüller; Iain Smears (SIAM J. Sci. Comput., 2019)

Unified analysis of discontinuous Galerkin and C0-interior penalty finite element methods for Hamilton-Jacobi-Bellman and Isaacs equations. - Ellya L. Kawecki; Iain Smears (CoRR, 2020)

Convergence of Adaptive Discontinuous Galerkin and C0-Interior Penalty Finite Element Methods for Hamilton-Jacobi-Bellman and Isaacs Equations. - Ellya L. Kawecki; Iain Smears (Found. Comput. Math., 2022)

Finite element approximation of time-dependent Mean Field Games with non-differentiable Hamiltonians. - Yohance A. P. Osborne; Iain Smears (CoRR, 2023)

Near and full quasi-optimality of finite element approximations of stationary second-order mean field games. - Yohance A. P. Osborne; Iain Smears (CoRR, 2024)

Erratum: Analysis and Numerical Approximation of Stationary Second-Order Mean Field Game Partial Differential Inclusions. - Yohance A. P. Osborne; Iain Smears (SIAM J. Numer. Anal., 2024)

Analysis and Numerical Approximation of Stationary Second-Order Mean Field Game Partial Differential Inclusions. - Yohance A. P. Osborne; Iain Smears (SIAM J. Numer. Anal., 2024)

A posteriori error bounds for finite element approximations of steady-state mean field games. - Yohance A. P. Osborne; Iain Smears; Harry Wells (CoRR, 2025)

Finite element approximation of time-dependent mean field games with nondifferentiable Hamiltonians. - Yohance A. P. Osborne; Iain Smears (Numerische Mathematik, 2025)

Rates of convergence of finite element approximations of second-order mean field games with nondifferentiable Hamiltonians. - Yohance A. P. Osborne; Iain Smears (CoRR, 2025)

On the efficiency of a posteriori error estimators for parabolic partial differential equations in the energy norm. - Iain Smears (CoRR, 2025)