Characteristic-Galerkin methods for contaminant transport with nonequilibrium adsorption kinetics

C.N. Dawson; C.J. Duijn, van; M.F. Wheeler

doi:10.1137/0731052

Characteristic-Galerkin methods for contaminant transport with nonequilibrium adsorption kinetics

C.N. Dawson
, C.J. Duijn, van
, M.F. Wheeler

Research output: Contribution to journal › Article › Academic › peer-review

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203 Downloads (Pure)

Abstract

A procedure based on combining the method of characteristics with a Galerkin finite element method is analyzed for approximating reactive transport in groundwater. In particular, equations modeling contaminant transport with nonlinear, nonequilibrium adsorption reactions are considered. This phenomenon gives rise to non-Lipschitz but monotone nonlinearities which complicate the analysis. A physical and mathematical description of the problem under consideration is given, then the numerical method is described and a priori error estimates are derived. ©1994 Society for Industrial and Applied Mathematics

Original language	English
Pages (from-to)	982-999
Journal	SIAM Journal on Numerical Analysis
Volume	31
Issue number	4
DOIs	https://doi.org/10.1137/0731052
Publication status	Published - 1994

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title = "Characteristic-Galerkin methods for contaminant transport with nonequilibrium adsorption kinetics",

abstract = "A procedure based on combining the method of characteristics with a Galerkin finite element method is analyzed for approximating reactive transport in groundwater. In particular, equations modeling contaminant transport with nonlinear, nonequilibrium adsorption reactions are considered. This phenomenon gives rise to non-Lipschitz but monotone nonlinearities which complicate the analysis. A physical and mathematical description of the problem under consideration is given, then the numerical method is described and a priori error estimates are derived. {\textcopyright}1994 Society for Industrial and Applied Mathematics",

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doi = "10.1137/0731052",

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T1 - Characteristic-Galerkin methods for contaminant transport with nonequilibrium adsorption kinetics

AU - Dawson, C.N.

AU - Duijn, van, C.J.

AU - Wheeler, M.F.

PY - 1994

Y1 - 1994

N2 - A procedure based on combining the method of characteristics with a Galerkin finite element method is analyzed for approximating reactive transport in groundwater. In particular, equations modeling contaminant transport with nonlinear, nonequilibrium adsorption reactions are considered. This phenomenon gives rise to non-Lipschitz but monotone nonlinearities which complicate the analysis. A physical and mathematical description of the problem under consideration is given, then the numerical method is described and a priori error estimates are derived. ©1994 Society for Industrial and Applied Mathematics

AB - A procedure based on combining the method of characteristics with a Galerkin finite element method is analyzed for approximating reactive transport in groundwater. In particular, equations modeling contaminant transport with nonlinear, nonequilibrium adsorption reactions are considered. This phenomenon gives rise to non-Lipschitz but monotone nonlinearities which complicate the analysis. A physical and mathematical description of the problem under consideration is given, then the numerical method is described and a priori error estimates are derived. ©1994 Society for Industrial and Applied Mathematics

U2 - 10.1137/0731052

DO - 10.1137/0731052

M3 - Article

SN - 0036-1429

VL - 31

SP - 982

EP - 999

JO - SIAM Journal on Numerical Analysis

JF - SIAM Journal on Numerical Analysis

IS - 4

ER -

Characteristic-Galerkin methods for contaminant transport with nonequilibrium adsorption kinetics

Abstract

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