Mixed finite element discretization and Newton iteration for a reactive contaminant transport model with nonequilibrium sorption: convergence analysis and error estimates

Florin A. Radu; Iuliu Sorin Pop

doi:10.1007/s10596-010-9213-3

Mixed finite element discretization and Newton iteration for a reactive contaminant transport model with nonequilibrium sorption: convergence analysis and error estimates

Computational Geosciences ◽

10.1007/s10596-010-9213-3 ◽

2010 ◽

Vol 15 (3) ◽

pp. 431-450 ◽

Cited By ~ 12

Author(s):

Florin A. Radu ◽

Iuliu Sorin Pop

Keyword(s):

Finite Element ◽

Convergence Analysis ◽

Contaminant Transport ◽

Error Estimates ◽

Transport Model ◽

Mixed Finite Element ◽

Newton Iteration ◽

Finite Element Discretization ◽

Element Discretization ◽

Nonequilibrium Sorption

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A priori error estimates for a mixed finite element discretization of the Richards’ equation

Numerische Mathematik ◽

10.1007/s00211-003-0509-2 ◽

2004 ◽

Vol 98 (2) ◽

pp. 353-370 ◽

Cited By ~ 24

Author(s):

Eckhard Schneid ◽

Peter Knabner ◽

Florin Radu

Keyword(s):

Finite Element ◽

Error Estimates ◽

Mixed Finite Element ◽

A Priori ◽

A Priori Error Estimates ◽

Richards Equation ◽

Finite Element Discretization ◽

Element Discretization ◽

Priori Error Estimates

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Error estimates for mixed finite element discretization of the Richards equation

PAMM ◽

10.1002/pamm.200810523 ◽

2008 ◽

Vol 8 (1) ◽

pp. 10523-10524

Author(s):

Florin A. Radu

Keyword(s):

Finite Element ◽

Error Estimates ◽

Mixed Finite Element ◽

Richards Equation ◽

Finite Element Discretization ◽

Element Discretization

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Error estimates for a mixed finite element discretization of some degenerate parabolic equations

Numerische Mathematik ◽

10.1007/s00211-008-0139-9 ◽

2008 ◽

Vol 109 (2) ◽

pp. 285-311 ◽

Cited By ~ 46

Author(s):

Florin A. Radu ◽

Iuliu Sorin Pop ◽

Peter Knabner

Keyword(s):

Finite Element ◽

Error Estimates ◽

Parabolic Equations ◽

Mixed Finite Element ◽

Degenerate Parabolic Equations ◽

Finite Element Discretization ◽

Element Discretization ◽

Degenerate Parabolic

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Error estimates for a mixed finite element discretization of a two-phase porous media flow model with dynamic capillarity

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2018.12.022 ◽

2019 ◽

Vol 353 ◽

pp. 164-178 ◽

Cited By ~ 3

Author(s):

Xiulei Cao ◽

Koondanibha Mitra

Keyword(s):

Finite Element ◽

Porous Media ◽

Error Estimates ◽

Flow Model ◽

Mixed Finite Element ◽

Porous Media Flow ◽

Finite Element Discretization ◽

Two Phase ◽

Element Discretization ◽

Dynamic Capillarity

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Convergence analysis of a BDF2 / mixed finite element discretization of a Darcy–Nernst–Planck–Poisson system

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/2017002 ◽

2017 ◽

Vol 51 (5) ◽

pp. 1883-1902 ◽

Cited By ~ 2

Author(s):

Florian Frank ◽

Peter Knabner

Keyword(s):

Finite Element ◽

Convergence Analysis ◽

Mixed Finite Element ◽

Poisson System ◽

Finite Element Discretization ◽

Element Discretization

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A Mixed Finite-Element Discretization of the Energy-Transport Model for Semiconductors

SIAM Journal on Scientific Computing ◽

10.1137/s1064827501396440 ◽

2003 ◽

Vol 24 (6) ◽

pp. 2058-2075 ◽

Cited By ~ 22

Author(s):

Stefan Holst ◽

Ansgar Jungel ◽

Paolo Pietra

Keyword(s):

Finite Element ◽

Energy Transport ◽

Transport Model ◽

Mixed Finite Element ◽

Finite Element Discretization ◽

Element Discretization ◽

Energy Transport Model

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Local error estimates for finite element discretization of the Stokes equations

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/1995290303671 ◽

1995 ◽

Vol 29 (3) ◽

pp. 367-389 ◽

Cited By ~ 28

Author(s):

Douglas N. Arnold ◽

Liu Xiaobo

Keyword(s):

Finite Element ◽

Error Estimates ◽

Stokes Equations ◽

Local Error ◽

Finite Element Discretization ◽

Element Discretization

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A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems

Constrained Optimization and Optimal Control for Partial Differential Equations ◽

10.1007/978-3-0348-0133-1_23 ◽

2011 ◽

pp. 445-466

Author(s):

Dominik Meidner ◽

Boris Vexler

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Estimates ◽

Optimal Control Problems ◽

A Priori ◽

A Priori Error Estimates ◽

Finite Element Discretization ◽

Element Discretization ◽

Priori Error Estimates ◽

Parabolic Optimal Control

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A New Conical Regularization for Some Optimization and Optimal Control Problems: Convergence Analysis and Finite Element Discretization

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2013.806546 ◽

2013 ◽

Vol 34 (8) ◽

pp. 861-895 ◽

Cited By ~ 6

Author(s):

Akhtar A. Khan ◽

Miguel Sama

Keyword(s):

Optimal Control ◽

Finite Element ◽

Convergence Analysis ◽

Optimal Control Problems ◽

Control Problems ◽

Finite Element Discretization ◽

Element Discretization ◽

Optimization And Optimal Control

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Convergence analysis and error estimates for mixed finite element method on distorted meshes

Journal of Numerical Mathematics ◽

10.1515/1569395054068973 ◽

2005 ◽

Vol 13 (1) ◽

Cited By ~ 20

Author(s):

Yu. Kuznetsov ◽

S. Repin

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Convergence Analysis ◽

Error Estimates ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Element Method

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