SIAM Journal on Numerical Analysis, Vol. 52, No. 3 (2014), pp. 1269-1291 (23 pages) This paper provides a new fully discrete domain decomposition algorithm for the advection diffusion reaction ...

A general framework for constructing constraint-preserving numerical methods is presented and applied to a multidimensional divergence-constrained advection equation. This equation is part of a set of ...

In this thesis we introduce a new version of a heterogeneous multiscale finite element method (HMM) for advection-diffusion problems with rapidly oscillating coefficient functions and with a large ...

Finite volume methods (FVM) have emerged as a crucial numerical framework for approximating diffusion equations in porous media. These schemes discretise the governing partial differential equations ...

On 28 June 2021, 14:00-18:00, an online workshop "PDE and Numerical Mathematics" is organised by the Mathematics Departments of the Universities of Münster and Twente. Please contact Mario Ohlberger ...