Numerical simulation of contaminant biodegradation by higher order methods and adaptive time stepping

DOI10.1007/s00791-004-0139-yzbMath1120.76321OpenAlexW2009638239MaRDI QIDQ1780942

Markus Bause, Peter Knabner

Publication date: 14 June 2005

Published in: Computing and Visualization in Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00791-004-0139-y

Mathematics Subject Classification ID

Diffusion (76R50) Flows in porous media; filtration; seepage (76S05) Finite element methods applied to problems in fluid mechanics (76M10) Ecology (92D40) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Reaction effects in flows (76V05)

Related Items

Modelling bioremediation of polluted soils in unsaturated condition and its effect on the soil hydraulic properties., FV Upwind Stabilization of FE Discretizations for Advection–Diffusion Problems, Convergence analysis of a class of iterative methods for propagation of reaction fronts in porous media, Analysis of stabilized higher-order finite element approximation of nonstationary and nonlinear convection-diffusion-reaction equations, Convergence analysis for a mixed finite element scheme for flow in strictly unsaturated porous media, Mixed finite element discretization and Newton iteration for a reactive contaminant transport model with nonequilibrium sorption: convergence analysis and error estimates, Analysis of an Euler implicit-mixed finite element scheme for reactive solute transport in porous media, Well-posedness and numerical approximation of steady convection-diffusion-reaction problems in porous media, Higher order regularity and approximation of solutions to the Monod biodegradation model

Uses Software

• Matlab
• KELLEY
• ode23
• ode45
• Ode15s
• ode113
• ode23s
• MATLAB ODE suite

Cites Work

• Quasilinear elliptic-parabolic differential equations
• Efficient solvers for incompressible flow problems. An algorithmic and computational approach
• Numerical reliability for mixed methods applied to flow problems in porous media
• Higher order regularity and approximation of solutions to the Monod biodegradation model
• The MATLAB ODE Suite
• Mixed and Hybrid Finite Element Methods
• Least-Squares Mixed Finite Element Solution of Variably Saturated Subsurface Flow Problems
• Adaptive finite volume approximations for weakly coupled convection dominated parabolic systems
• Local adaptive methods for convection dominated problems
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