A stabilized mixed discontinuous Galerkin method for the incompressible miscible displacement problem

DOI10.1186/1687-2770-2011-48zbMath1273.35025OpenAlexW2144139818WikidataQ59267663 ScholiaQ59267663MaRDI QIDQ359829

Youcai Xu, Yan Luo, Min-Fu Feng

Publication date: 23 August 2013

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2011-48

zbMATH Keywords

a priori error estimatesfully discrete method

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Theoretical approximation in context of PDEs (35A35) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (6)

High-order hybridizable discontinuous Galerkin formulation for one-phase flow through porous media ⋮ Unnamed Item ⋮ Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model ⋮ A High Order Central DG method of the Two-Layer Shallow Water Equations ⋮ A reduced-order finite element method based on POD for the incompressible miscible displacement problem ⋮ Maximum-principle-satisfying and positivity-preserving high order central DG methods on unstructured overlapping meshes for two-dimensional hyperbolic conservation laws

Cites Work

• Mixed discontinuous Galerkin methods for Darcy flow
• Discontinuous element pressure gradient stabilizations for compressible Navier-Stokes equations based on local projections
• TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
• A discontinuous \(hp\) finite element method for convection-diffusion problems
• Discontinuous Galerkin methods for coupled flow and reactive transport problems
• A stabilized mixed finite element method for Darcy flow
• A stabilized mixed discontinuous Galerkin method for Darcy flow
• Discontinuous Galerkin Finite Element Convergence for Incompressible Miscible Displacement Problems of Low Regularity
• Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems

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