Godunov mixed methods on triangular grids for advection--dispersion equations
type: Item
instance of: scholarly article
title: Godunov mixed methods on triangular grids for advection--dispersion equations
zbMATH Open document ID: 1011.65071
DOI: 10.1023/A:1019963900511
published in: Computational Geosciences
publication date: 2002-12-15T00:00:00Z
review text: The authors commence by writing down a dicretization of the governing differential equation and the subsidiary relation. They then proceed to obtain error estimates. Next, they develop an approximation for the advection numerical flux involving a triangulation grid, and the associated error analysis is given. Some numerical results for special one and two dimensional problems for which exact solutions are known are given for a number of dispersion and Péclet numbers. The approximating system are satisfactory for these.
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35K15
zbMATH DE Number: 1845413
zbMATH Keywords: Godunov mixed methods
zbMATH Keywords: advection-dispersion equations
zbMATH Keywords: time-splitting
zbMATH Keywords: transport equation
zbMATH Keywords: triangular grid
zbMATH Keywords: finite volume method
zbMATH Keywords: mixed hybrid finite element method
zbMATH Keywords: error bounds
zbMATH Keywords: numerical exmaples
author: Annamaria Mazzia
author: Luca Bergamaschi
author: C. Dawson
author: Mario Putti
reviewed by: Ll. G. Chambers
MaRDI profile type: Publication
Wikidata QID: Q62925344
description: scientific article; zbMATH DE number 1845413