Numerical Multilevel Upscaling for Incompressible Flow in Reservoir Simulation: An Element-Based Algebraic Multigrid (AMGe) Approach

DOI10.1137/140988991zbMath1360.65247OpenAlexW2590459043WikidataQ57820578 ScholiaQ57820578MaRDI QIDQ2968578

Max la Cour Christensen, Allan P. Engsig-Karup, Umberto Villa, Panayot S. Vassilevski

Publication date: 20 March 2017

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://orbit.dtu.dk/en/publications/70b359c6-c60a-416b-8f9f-979dbba2847e

zbMATH Keywords

reservoir simulationmixed finite element methodporous media flowdiscontinuous Galerkin finite element methodsubsurface flownumerical upscalingelement-based algebraic multigridmultilevel upscaling

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items

Nonlinear multigrid solvers exploiting AMGe coarse spaces with approximation properties, Multilevel Balancing Domain Decomposition by Constraints Deluxe Algorithms with Adaptive Coarse Spaces for Flow in Porous Media, Parallel Element-Based Algebraic Multigrid for \(\boldsymbol{H}\) (curl) and \(\boldsymbol{H}\) (div) Problems Using the ParELAG Library, On adaptive BDDC for the flow in heterogeneous porous media., Multilevel Spectral Coarsening for Graph Laplacian Problems with Application to Reservoir Simulation

Uses Software

• hypre
• MFEM

Cites Work

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