Multi-Point approximations for thermo-poroelasticity

Jan and Eirik have just uploaded a new paper entitled An introduction to Multi-Point Flux (MPFA) and Multi-Point Stress (MPSA) Finite Volume Methods for Thermo-Poroelasticity, to arxiv. The paper gives a unified presentation of the MPFA/MPSA family of methods, including formulation, method properties and implementational aspects. The paper covers much of the development that has […]

Higher order FE schemes for the wave equation

A paper has recently appeared in Mathematics of Computations:

Post-processed Galerkin approximation of improved order for wave equations by M. Bause, U. Koecher, F.A. Radu and F. Schieweck,

https://www.ams.org/journals/mcom/2020-89-322/S0025-5718-2019-03464-6/home.html

The paper is about higher order FE schemes in time and space for the wave equation. The main point is the introduction of a post processing […]

Flow upscaling in fractured porous media

A paper has recently appeared in Journal of Computational Physics:

Formal upscaling and numerical validation of unsaturated flow models in fractured porous media by F.List, K. Kumar, I.S. Pop and F.A. Radu https://www.sciencedirect.com/science/article/pii/S0021999119308435?via%3Dihub

Formal upscaling is performed for a domain containing one fracture. The medium is assumed to be unsaturated. Depending on the ratio between […]