Convergence and stability of the Lax-Friedrichs scheme for a nonlinear parabolic polymer flooding problem

DOI10.1016/0196-8858(90)90010-VzbMath0708.65085MaRDI QIDQ920600

Aslak Tveito

Publication date: 1990

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

stabilityconvergencefinite difference methodnonlinear parabolic systemsoil recoveryfractional flow functionLax-Friedrichs-schemepolymer flooding process

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Statistical mechanics of polymers (82D60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Applications to the sciences (65Z05)

Related Items (3)

Numerical study of a singular system of conservation laws arising in enhanced oil reservoirs ⋮ Fast explicit operator splitting method for convection–diffusion equations ⋮ Operator splitting methods for systems of convection-diffusion equations: nonlinear error mechanisms and correction strategies

Cites Work

• On macroscopic equations governing multiphase flow with diffusion and chemical reactions in porous media
• Analysis of a singular hyperbolic system of conservation laws
• A system of non-strictly hyperbolic conservation laws arising in elasticity theory
• Global solution of the Cauchy problem for a class of 2x2 nonstrictly hyperbolic conservation laws
• A class of convergent finite difference schemes for certain nonlinear parabolic systems
• The Solution of the Riemann Problem for a Hyperbolic System of Conservation Laws Modeling Polymer Flooding
• A Riemann Solver for a Two-Phase Multicomponent Process
• The Riemann Problem for Multicomponent Polymer Flooding
• Error Bounds for Finite-Difference Approximations for a Class of Nonlinear Parabolic Systems
• Discontinuous solutions of non-linear differential equations
• Solutions in the large for nonlinear hyperbolic systems of equations

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