Analysis of discontinuous Galerkin methods for multicomponent reactive transport problems

DOI10.1016/j.camwa.2006.10.004zbMath1129.65068OpenAlexW2036571283MaRDI QIDQ2458539

Shuyu Sun, Mary Fanett Wheeler

Publication date: 1 November 2007

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2006.10.004

zbMATH Keywords

convergenceerror estimatesporous mediadiscontinuous Galerkin methodsmulticomponent reactive transportnonlinear kinetic chemistry

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Flows in porous media; filtration; seepage (76S05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Reaction effects in flows (76V05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items

Mixed-hybrid and vertex-discontinuous-Galerkin finite element modeling of multiphase compositional flow on 3D unstructured grids, A mixed discontinuous Galerkin method for an unsteady incompressible Darcy equation, A fully-coupled upwind discontinuous Galerkin method for incompressible porous media flows: high-order computations of viscous fingering instabilities in complex geometry, A Runge-Kutta discontinuous Galerkin approach to solve reactive flows: the hyperbolic operator, Computing gravity-driven viscous fingering in complex subsurface geometries: a high-order discontinuous Galerkin approach, Analysis of a mixed discontinuous Galerkin method for instationary Darcy flow, A high-order, fully coupled, upwind, compact discontinuous Galerkin method for modeling of viscous fingering in compressible porous media, Efficient numerical methods for simulating surface tension of multi-component mixtures with the gradient theory of fluid interfaces, A control problem for a cross-diffusion system in a nonhomogeneous medium, A fully interior penalty discontinuous Galerkin method for variable density groundwater flow problems, Upwind discontinuous Galerkin methods with mass conservation of both phases for incompressible two‐phase flow in porous media, Anomalous diffusion in porous media, Runge Kutta Discontinuous Galerkin to Solve Reactive Flows

Uses Software

• HYDROGEOCHEM

Cites Work

• \(L^{2}(H^{1})\) norm a posteriori error estimation for discontinuous Galerkin approximations of reactive transport problems
• Compatible algorithms for coupled flow and transport
• A discontinuous \(hp\) finite element method for diffusion problems
• A discontinuous \(hp\) finite element method for convection-diffusion problems
• Discontinuous Galerkin methods for coupled flow and reactive transport problems
• Anisotropic and dynamic mesh adaptation for discontinuous Galerkin methods applied to reactive transport
• A posteriori error estimation and dynamic adaptivity for symmetric discontinuous Galerkin approximations of reactive transport problems
• Computational methods for multiphase flow and reactive transport problems arising in subsurface contaminant remediation
• The $h-p$ version of the finite element method with quasiuniform meshes
• The Optimal Convergence Rate of the p-Version of the Finite Element Method
• An Interior Penalty Finite Element Method with Discontinuous Elements
• An Elliptic Collocation-Finite Element Method with Interior Penalties
• A Priori Error Estimates for Finite Element Methods Based on Discontinuous Approximation Spaces for Elliptic Problems
• Discontinuous Galerkin Method for Modeling Flow and Reactive Transport in Porous Media
• Equivalent Norms for Sobolev Spaces
• Symmetric and Nonsymmetric Discontinuous Galerkin Methods for Reactive Transport in Porous Media
• Unnamed Item
• Unnamed Item
• Unnamed Item