Domain decomposition and splitting methods for Mortar mixed finite element approximations to parabolic equations

Stéphanie Gaiffe; Roland Glowinski; Roland Masson

doi:10.1007/bf02679437

Domain decomposition and splitting methods for Mortar mixed finite element approximations to parabolic equations

Numerische Mathematik ◽

10.1007/bf02679437 ◽

2002 ◽

Vol 93 (1) ◽

pp. 53-75 ◽

Cited By ~ 8

Author(s):

Stéphanie Gaiffe ◽

Roland Glowinski ◽

Roland Masson

Keyword(s):

Finite Element ◽

Domain Decomposition ◽

Parabolic Equations ◽

Mixed Finite Element ◽

Splitting Methods ◽

Finite Element Approximations

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A non-overlapping domain decomposition method for continuous-pressure mixed finite element approximations of the Stokes problem

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/2010070 ◽

2010 ◽

Vol 45 (4) ◽

pp. 675-696 ◽

Cited By ~ 2

Author(s):

Hani Benhassine ◽

Abderrahmane Bendali

Keyword(s):

Finite Element ◽

Domain Decomposition ◽

Decomposition Method ◽

Domain Decomposition Method ◽

Stokes Problem ◽

Mixed Finite Element ◽

Finite Element Approximations ◽

Overlapping Domain Decomposition

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Two-grid methods for mixed finite element approximations of nonlinear parabolic equations

Domain Decomposition Methods in Scientific and Engineering Computing - Contemporary Mathematics ◽

10.1090/conm/180/01971 ◽

1994 ◽

pp. 191-203 ◽

Cited By ~ 64

Author(s):

Clint N. Dawson ◽

Mary F. Wheeler

Keyword(s):

Finite Element ◽

Parabolic Equations ◽

Mixed Finite Element ◽

Nonlinear Parabolic Equations ◽

Finite Element Approximations ◽

Nonlinear Parabolic

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Improved error estimates for mixed finite-element approximations for nonlinear parabolic equations: The continuous-time case

Numerical Methods for Partial Differential Equations ◽

10.1002/num.1690100202 ◽

1994 ◽

Vol 10 (2) ◽

pp. 129-147 ◽

Cited By ~ 26

Author(s):

Sonia M. F. Garcia

Keyword(s):

Finite Element ◽

Error Estimates ◽

Parabolic Equations ◽

Continuous Time ◽

Mixed Finite Element ◽

Nonlinear Parabolic Equations ◽

Finite Element Approximations ◽

Nonlinear Parabolic

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Domain decomposition methods for mixed finite element approximations of wave problems

Computers & Mathematics with Applications ◽

10.1016/s0898-1221(99)00251-5 ◽

1999 ◽

Vol 38 (7-8) ◽

pp. 207-214 ◽

Cited By ~ 4

Author(s):

E.J. Dean ◽

R. Glowinski

Keyword(s):

Finite Element ◽

Domain Decomposition ◽

Mixed Finite Element ◽

Decomposition Methods ◽

Domain Decomposition Methods ◽

Finite Element Approximations ◽

Wave Problems

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Improved error estimates for mixed finite-element approximations for nonlinear parabolic equations: The discrete-time case

Numerical Methods for Partial Differential Equations ◽

10.1002/num.1690100203 ◽

1994 ◽

Vol 10 (2) ◽

pp. 149-169 ◽

Cited By ~ 15

Author(s):

Sonia M. F. Garcia

Keyword(s):

Finite Element ◽

Error Estimates ◽

Discrete Time ◽

Parabolic Equations ◽

Mixed Finite Element ◽

Nonlinear Parabolic Equations ◽

Finite Element Approximations ◽

Nonlinear Parabolic ◽

Discrete Time Case

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Circumventing the Babuška-Brezzi condition in mixed finite element approximations of elliptic variational inequalities

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(92)90163-e ◽

1992 ◽

Vol 97 (2) ◽

pp. 193-210 ◽

Cited By ~ 17

Author(s):

Helio J.C. Barbosa ◽

Thomas J.R. Hughes

Keyword(s):

Finite Element ◽

Variational Inequalities ◽

Mixed Finite Element ◽

Finite Element Approximations ◽

Elliptic Variational Inequalities

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Decomposition Methods and Mixed Finite Element Approximations of Adherence and Contact Problems in Finite Viscoelasticity

Contact Mechanics ◽

10.1007/978-1-4615-1983-6_29 ◽

1995 ◽

pp. 229-236 ◽

Cited By ~ 1

Author(s):

Gonzalo Alduncin

Keyword(s):

Finite Element ◽

Mixed Finite Element ◽

Contact Problems ◽

Decomposition Methods ◽

Finite Element Approximations ◽

Finite Viscoelasticity

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A survey on mixed finite element approximations

IEEE Transactions on Magnetics ◽

10.1109/20.312705 ◽

1994 ◽

Vol 30 (5) ◽

pp. 3547-3551 ◽

Cited By ~ 19

Author(s):

F. Brezzi ◽

D. Marini

Keyword(s):

Finite Element ◽

Mixed Finite Element ◽

Finite Element Approximations

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Analysis of Two-Grid Methods for Nonlinear Parabolic Equations by Expanded Mixed Finite Element Methods

Advances in Applied Mathematics and Mechanics ◽

10.4208/aamm.09-m09s09 ◽

2009 ◽

Vol 1 (6) ◽

pp. 830-844 ◽

Cited By ~ 21

Author(s):

Yanping Chen

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Parabolic Equations ◽

Mixed Finite Element ◽

Nonlinear Parabolic Equations ◽

Mixed Finite Element Methods ◽

Nonlinear Parabolic ◽

Expanded Mixed Finite Element

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Convergence analysis of mixed finite element approximations to shape gradients in the Stokes equation

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2018.08.024 ◽

2019 ◽

Vol 343 ◽

pp. 127-150 ◽

Cited By ~ 4

Author(s):

Shengfeng Zhu ◽

Zhiming Gao

Keyword(s):

Finite Element ◽

Convergence Analysis ◽

Stokes Equation ◽

Mixed Finite Element ◽

Finite Element Approximations ◽

The Stokes Equation

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