Stability, Monotonicity, Maximum and Minimum Principles, and Implementation of the Volume Corrected Characteristic Method

DOI10.1137/100788689zbMath1236.65119OpenAlexW2017034087MaRDI QIDQ3103527

Publication date: 7 December 2011

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/f96423f5cf39b151116ee3f44a43e16dfc6c7c41

zbMATH Keywords

stability convergence numerical experiments Lagrangian method method of characteristics conservative schemes maximum and minimum principles tracer transport problems volume corrected characteristics-mixed method

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Maximum principles in context of PDEs (35B50) Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25)

Related Items (8)

Scalable semismooth Newton methods with multilevel domain decomposition for subsurface flow and reactive transport in porous media ⋮ An Efficient Implementation of Mass Conserving Characteristic-Based Schemes in Two and Three Dimensions ⋮ An Eulerian-Lagrangian WENO finite volume scheme for advection problems ⋮ New analysis of Galerkin-mixed FEMs for incompressible miscible flow in porous media ⋮ Convergence analysis of a family of ELLAM schemes for a fully coupled model of miscible displacement in porous media ⋮ A combined GDM-ELLAM-MMOC scheme for advection dominated PDEs ⋮ A semi-Lagrangian mixed finite element method for advection-diffusion variational inequalities ⋮ Combining the Hybrid Mimetic Mixed Method and the Eulerian Lagrangian Localised Adjoint Method for Approximating Miscible Flows in Porous Media

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COUPLEX

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