\( \mathcal{RT}_k\) mixed finite elements for some nonlinear problems

DOI10.1016/j.matcom.2014.11.013OpenAlexW2079524374MaRDI QIDQ2228695

Raphaèle Herbin, Robert Eymard, Thierry Gallouet

Publication date: 19 February 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2014.11.013

zbMATH Keywords

mixed finite elementgradient schemestwo phase flow

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Numerical analysis (65-XX)

Related Items

Convergence analysis of a family of ELLAM schemes for a fully coupled model of miscible displacement in porous media, A multiscale flux basis for mortar mixed discretizations of reduced Darcy-Forchheimer fracture models

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Numerical modeling of the flow and transport of radionuclides in heterogeneous porous media
• Small-stencil 3D schemes for diffusive flows in porous media
• GRADIENT SCHEMES: A GENERIC FRAMEWORK FOR THE DISCRETISATION OF LINEAR, NONLINEAR AND NONLOCAL ELLIPTIC AND PARABOLIC EQUATIONS
• 3D Benchmark on Discretization Schemes for Anisotropic Diffusion Problems on General Grids
• Gradient schemes for two-phase flow in heterogeneous porous media and Richards equation
• Global Estimates for Mixed Methods for Second Order Elliptic Equations
• Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: a scheme using stabilization and hybrid interfaces
• Mixed and nonconforming finite element methods : implementation, postprocessing and error estimates
• A Nonlinear Mixed Finite Element Method for a Degenerate Parabolic Equation Arising in Flow in Porous Media
• A UNIFIED APPROACH TO MIMETIC FINITE DIFFERENCE, HYBRID FINITE VOLUME AND MIXED FINITE VOLUME METHODS