Outputs (2)

hp-Version discontinuous Galerkin methods for advection-diffusion-reaction problems on polytopic meshes (2016)
Journal Article
Cangiani, A., Dong, Z., Georgoulis, E. H., & Houston, P. (2016). hp-Version discontinuous Galerkin methods for advection-diffusion-reaction problems on polytopic meshes. ESAIM: Mathematical Modelling and Numerical Analysis, 50(3), 699-725. https://doi.org/10.1051/m2an/2015059

We consider the hp-version interior penalty discontinuous Galerkin finite element method (DGFEM) for the numerical approximation of the advection-diffusion-reaction equation on general computational meshes consisting of polygonal/polyhedral (polytopi... Read More about hp-Version discontinuous Galerkin methods for advection-diffusion-reaction problems on polytopic meshes.

Adaptive energy minimisation for hp-finite element methods (2016)
Journal Article
Houston, P., & Wihler, T. P. (2016). Adaptive energy minimisation for hp-finite element methods. Computers and Mathematics with Applications, 71(4), https://doi.org/10.1016/j.camwa.2016.01.002

This article is concerned with the numerical solution of convex variational problems. More precisely, we develop an iterative minimisation technique which allows for the successive enrichment of an underlying discrete approximation space in an adapti... Read More about Adaptive energy minimisation for hp-finite element methods.