Mobile and immobile gaseous transport: Embedded analytical solutions to finite volume methods

DOI10.1002/num.20680zbMath1345.76089OpenAlexW2144456822MaRDI QIDQ2910810

Jürgen Geiser

Publication date: 11 September 2012

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.20680

zbMATH Keywords

Laplace transformanalytical solutionsadvectionGodunov's methodreaction equationimmobile transportmobile transport

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Gas dynamics (general theory) (76N15) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Uses Software

• UG

Cites Work

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• Discretization methods with embedded analytical solutions for convection-diffusion dispersion-reaction equations and applications
• Theorem on association of variables in multidimensional Laplace transforms
• Introduction to modeling of transport phenomena in porous media
• TVD fluxes for the high-order ADER schemes
• Consistency of iterative operator-splitting methods: Theory and applications
• Splitting methods
• On the Analysis of Finite Volume Methods for Evolutionary Problems
• Finite volume approximation of elliptic problems and convergence of an approximate gradient
• UG -- a flexible software toolbox for solving partial differential equations

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