Oliver J. Sutton

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math.NA2020

Residual-based a posteriori error estimates for $hp$ -discontinuous Galerkin discretisations of the biharmonic problem

Zhaonan Dong, Lorenzo Mascotto, Oliver J. Sutton

We introduce a residual-based a posteriori error estimator for a novel $h p$ -version interior penalty discontinuous Galerkin method for the biharmonic problem in two and three dimen…

math.NA2020

Adaptive non-hierarchical Galerkin methods for parabolic problems with application to moving mesh and virtual element methods

Andrea Cangiani, Emmanuil H. Georgoulis, Oliver J. Sutton

We present a posteriori error estimates for inconsistent and non-hierarchical Galerkin methods for linear parabolic problems, allowing them to be used in conjunction with very gene…

Residual-based a posteriori error estimates for hp-discontinuous Galerkin discretisations of the biharmonic problem

Adaptive non-hierarchical Galerkin methods for parabolic problems with application to moving mesh and virtual element methods

Residual-based a posteriori error estimates for $hp$ -discontinuous Galerkin discretisations of the biharmonic problem