On High-Order Approximation and Stability with Conservative Properties

DOI10.1007/978-3-319-93873-8_23zbMath1443.65327OpenAlexW2907083684MaRDI QIDQ5114543

Juan Galvis, Eduardo Abreu, Ciro Díaz, Markus V. Sarkis

Publication date: 24 June 2020

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-93873-8_23

zbMATH Keywords

Darcy equationprecondioningRitz formulationfinite element stiffness matrixcontinuous Galerkin (CG) formulation

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Variational methods applied to PDEs (35A15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Existence of solutions for minimax problems (49J35) Iterative numerical methods for linear systems (65F10) Preconditioners for iterative methods (65F08) Finite volume methods for boundary value problems involving PDEs (65N08)

Related Items (1)

On the Conservation Properties in Multiple Scale Coupling and Simulation for Darcy Flow with Hyperbolic-Transport in Complex Flows

Cites Work

• Higher-order finite volume methods for elliptic boundary value problems
• A mass conservative generalized multiscale finite element method applied to two-phase flow in heterogeneous porous media
• On high-order conservative finite element methods
• A New Class of High Order Finite Volume Methods for Second Order Elliptic Equations
• Numerical solution of saddle point problems
• A construction of higher-order finite volume methods

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