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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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 ◽

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 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 ◽

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 ◽

Author(s):

Xiulei Cao ◽

Koondanibha Mitra

Keyword(s):

Finite Element ◽

Porous Media ◽

Error Estimates ◽

Mixed Finite Element ◽

Porous Media Flow ◽

Finite Element Discretization ◽

Two Phase ◽

Element Discretization ◽

Dynamic Capillarity

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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 ◽

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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Order of Convergence Estimates for an Euler Implicit, Mixed Finite Element Discretization of Richards' Equation

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142902405229 ◽

2004 ◽

Vol 42 (4) ◽

pp. 1452-1478 ◽

Author(s):

Florin Radu ◽

Iuliu Sorin Pop ◽

Peter Knabner

Keyword(s):

Finite Element ◽

Order Of Convergence ◽

Mixed Finite Element ◽

Richards Equation ◽

Finite Element Discretization ◽

Element Discretization ◽

Convergence Estimates

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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 ◽

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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Residual-based a posteriori error estimates for a nonconforming finite element discretization of the Stokes–Darcy coupled problem: isotropic discretization

Afrika Matematika ◽

10.1007/s13370-015-0370-3 ◽

2015 ◽

Vol 27 (3-4) ◽

pp. 701-729 ◽

Author(s):

Serge Nicaise ◽

Bernardin Ahounou ◽

Wilfrid Houedanou

Keyword(s):

Finite Element ◽

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Nonconforming Finite Element ◽

A Posteriori ◽

Finite Element Discretization ◽

Element Discretization ◽

A Posteriori Error ◽

Coupled Problem

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Superconvergence of the MINI mixed finite element discretization of the Stokes problem: An experimental study in 3D

Finite Elements in Analysis and Design ◽

10.1016/j.finel.2021.103706 ◽

2022 ◽

Vol 201 ◽

pp. 103706

Author(s):

Andrea Cioncolini ◽

Daniele Boffi

Keyword(s):

Experimental Study ◽

Finite Element ◽

Stokes Problem ◽

Mixed Finite Element ◽

Finite Element Discretization ◽

Element Discretization

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

SIAM Journal on Control and Optimization ◽

10.1137/18m1166948 ◽

2019 ◽

Vol 57 (1) ◽

pp. 129-162 ◽

Author(s):

Lucas Bonifacius ◽

Konstantin Pieper ◽

Boris Vexler

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Estimates ◽

Optimal Control Problems ◽

A Priori ◽

Control Problems ◽

Finite Element Discretization ◽

Element Discretization ◽

Time Optimal ◽

Priori Error Estimates

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