Some multiple flow direction algorithms for overland flow on general meshes

DOI10.1051/m2an/2020025zbMath1467.65099OpenAlexW3015641727MaRDI QIDQ4994006

Julien Coatléven

Publication date: 11 June 2021

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/2020025

zbMATH Keywords

virtual element methodoverland flowgeneral mesheshybrid finite volumemultiple flow direction algorithm

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite volume methods for boundary value problems involving PDEs (65N08)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence results in Sobolev spaces for a stationary transport equation
• Mathematical aspects of discontinuous Galerkin methods.
• A new finite volume scheme for anisotropic diffusion problems on general grids: convergence analysis
• Ordinary differential equations, transport theory and Sobolev spaces
• \(L^p\) and \(W^{1,p}\) regularity of the solution of a steady transport equation
• Small-stencil 3D schemes for diffusive flows in porous media
• Benchmark 3D: the VAG scheme
• Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: a scheme using stabilization and hybrid interfaces
• Optimal Convergence of the Original DG Method for the Transport-Reaction Equation on Special Meshes
• An Analysis of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation
• A virtual volume method for heterogeneous and anisotropic diffusion-reaction problems on general meshes
• The Mathematical Theory of Finite Element Methods
• Semi hybrid method for heterogeneous and anisotropic diffusion problems on general meshes
• Problèmes aux limites pour les équations aux dérivées partielles du premier ordre à coefficients réels; théorèmes d'approximation; application à l'équation de transport

This page was built for publication: Some multiple flow direction algorithms for overland flow on general meshes