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5 papers · 2 filters
Hermite finite elements for convection-diffusion equations
Florin Radu, Vitoriano Ruas, Paulo Trales
This work addresses techniques to solve convection-diffusion problems based on Hermite interpolation. We extend to the case of these equations a Hermite finite element method provi…
Analysis of a New Harmonically Enriched Multiscale Coarse Space for Domain Decomposition Methods
Martin J. Gander, Atle Loneland, Talal Rahman
We propose a new, harmonically enriched multiscale coarse space (HEM) for domain decomposition methods. For a coercive high contrast model problem, we show how to enrich the coarse…
A convergent mass conservative numerical scheme based on mixed finite elements for two-phase flow in porous media
Florin Adrian Radu, Kundan Kumar, Jan Martin Nordbotten +1
In this work we present a mass conservative numerical scheme for two-phase flow in porous media. The model for flow consists on two fully coupled, non-linear equations: a degenerat…
Multi-rate time stepping schemes for hydro-geomechanical model for subsurface methane hydrate reservoirs
Shubhangi Gupta, Barbara I. Wohlmuth, Rainer Helmig
We present an extrapolation-based semi-implicit multirate time stepping (MRT) scheme and a compound-fast MRT scheme for a naturally partitioned, multi-time-scale hydro-geomechanica…
A study on iterative methods for solving Richards` equation
Florian List, Florin Adrian Radu
This work concerns linearization methods for efficiently solving the Richards` equation,a degenerate elliptic-parabolic equation which models flow in saturated/unsaturated porous m…