On the mathematical analysis and numerical approximation of a system of nonlinear parabolic PDEs
DOI10.4171/ZAA/1387zbMath1391.65165MaRDI QIDQ732875
Jozef Kacur, Roger van Keer, Benny Malengier
Publication date: 15 October 2009
Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)
Nonlinear parabolic equations (35K55) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Initial-boundary value problems for second-order parabolic systems (35K51)
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Cites Work
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- Eulerian-Lagrangian localized adjoint methods for linear advection or advection-reaction equations and their convergence analysis
- On nonstationary flow through porous media
- Quasilinear elliptic-parabolic differential equations
- Solute transport in porous media with equilibrium and nonequilibrium multiple-site adsorption: Uniqueness of weak solutions
- On the transport-diffusion algorithm and its applications to the Navier-Stokes equations
- The finite volume method for Richards equation
- Solution of contaminant transport with adsorption in porous media by the method of characteristics
- Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures
- Analysis of an Upwind-Mixed Finite Element Method for Nonlinear contaminant Transport Equations
- An Improved Error Bound for a Lagrange--Galerkin Method for Contaminant Transport with Non-Lipschitzian Adsorption Kinetics
- Solution to strongly nonlinear parabolic problems by a linear approximation scheme
- Solution of Some Free Boundary Problems by Relaxation Schemes
- Characteristic-Galerkin Methods for Contaminant Transport with Nonequilibrium Adsorption Kinetics
- Finite Element Approximation of The Transport of Reactive Solutes in Porous Media. Part II: Error Estimates for Equilibrium Adsorption Processes
- Solution of Degenerate Convection-Diffusion Problems by the Method of Characteristics
- A Galerkin-Characteristic Algorithm for Transport-Diffusion Equations
- Solution of doubly nonlinear and degenerate parabolic problems by relaxation schemes
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