Compactness method in the finite element theory of nonlinear elliptic problems

Miloslav Feistauer; Alexander Ženíšek

doi:10.1007/bf01398687

Compactness method in the finite element theory of nonlinear elliptic problems

Numerische Mathematik ◽

10.1007/bf01398687 ◽

1988 ◽

Vol 52 (2) ◽

pp. 147-163 ◽

Cited By ~ 17

Author(s):

Miloslav Feistauer ◽

Alexander Ženíšek

Keyword(s):

Finite Element ◽

Elliptic Problems ◽

Nonlinear Elliptic Problems ◽

Compactness Method ◽

Nonlinear Elliptic ◽

Element Theory

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Discrete maximum principles for finite element solutions of nonlinear elliptic problems with mixed boundary conditions

Numerische Mathematik ◽

10.1007/s00211-004-0559-0 ◽

2005 ◽

Vol 99 (4) ◽

pp. 669-698 ◽

Cited By ~ 55

Author(s):

J. Kar�tson ◽

S. Korotov

Keyword(s):

Finite Element ◽

Boundary Conditions ◽

Mixed Boundary ◽

Elliptic Problems ◽

Mixed Boundary Conditions ◽

Maximum Principles ◽

Nonlinear Elliptic Problems ◽

Nonlinear Elliptic

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A Finite Element Method for Nonlinear Elliptic Problems

SIAM Journal on Scientific Computing ◽

10.1137/120887655 ◽

2013 ◽

Vol 35 (4) ◽

pp. A2025-A2045 ◽

Cited By ~ 19

Author(s):

Omar Lakkis ◽

Tristan Pryer

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Elliptic Problems ◽

Nonlinear Elliptic Problems ◽

Nonlinear Elliptic ◽

Element Method

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THE EFFECT OF QUADRATURE ERRORS ON THE FINITE ELEMENT SOLUTION OF SOME NONLINEAR ELLIPTIC PROBLEMS

Demonstratio Mathematica ◽

10.1515/dema-1986-0419 ◽

1986 ◽

Vol 19 (4) ◽

Author(s):

Tadeusz J. Janik

Keyword(s):

Finite Element ◽

Elliptic Problems ◽

Finite Element Solution ◽

Element Solution ◽

Nonlinear Elliptic Problems ◽

Nonlinear Elliptic

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On the Implementation of a Heterogeneous Multi-scale Finite Element Method for Nonlinear Elliptic Problems

Advances in DUNE ◽

10.1007/978-3-642-28589-9_11 ◽

2012 ◽

pp. 143-155

Author(s):

Patrick Henning ◽

Mario Ohlberger

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Elliptic Problems ◽

Nonlinear Elliptic Problems ◽

Multi Scale ◽

Nonlinear Elliptic ◽

Element Method

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Finite element approximation of nonlinear elliptic problems with discontinuous coefficients

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/1990240404571 ◽

1990 ◽

Vol 24 (4) ◽

pp. 457-500 ◽

Cited By ~ 26

Author(s):

Miloslav Feistauer ◽

Veronika Sobotíková

Keyword(s):

Finite Element ◽

Elliptic Problems ◽

Finite Element Approximation ◽

Discontinuous Coefficients ◽

Element Approximation ◽

Nonlinear Elliptic Problems ◽

Nonlinear Elliptic

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Discrete maximum principles for finite element solutions of some mixed nonlinear elliptic problems using quadratures

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2005.04.050 ◽

2006 ◽

Vol 192 (1) ◽

pp. 75-88 ◽

Cited By ~ 7

Author(s):

J. Karátson ◽

S. Korotov

Keyword(s):

Finite Element ◽

Elliptic Problems ◽

Maximum Principles ◽

Nonlinear Elliptic Problems ◽

Nonlinear Elliptic

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The effect of numerical integration in the finite element method for nonmonotone nonlinear elliptic problems with application to numerical homogenization methods

Comptes Rendus Mathematique ◽

10.1016/j.crma.2011.09.005 ◽

2011 ◽

Vol 349 (19-20) ◽

pp. 1041-1046 ◽

Cited By ~ 6

Author(s):

Assyr Abdulle ◽

Gilles Vilmart

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Numerical Integration ◽

Elliptic Problems ◽

Numerical Homogenization ◽

The Finite Element Method ◽

Nonlinear Elliptic Problems ◽

Nonlinear Elliptic ◽

Homogenization Methods ◽

Effect Of Numerical Integration

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Mixed finite element methods for nonlinear elliptic problems: Thep-version

Numerical Methods for Partial Differential Equations ◽

10.1002/(sici)1098-2426(199611)12:6<729::aid-num6>3.0.co;2-u ◽

1996 ◽

Vol 12 (6) ◽

pp. 729-741 ◽

Cited By ~ 3

Author(s):

Miyoung Lee ◽

Fabio A. Milner

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Elliptic Problems ◽

Mixed Finite Element Methods ◽

Nonlinear Elliptic Problems ◽

Nonlinear Elliptic

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On finite element methods for nonlinear elliptic problems on domains with corners

Lecture Notes in Mathematics - Singularities and Constructive Methods for Their Treatment ◽

10.1007/bfb0076264 ◽

1985 ◽

pp. 85-103 ◽

Cited By ~ 7

Author(s):

Manfred Dobrowolski

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Elliptic Problems ◽

Nonlinear Elliptic Problems ◽

Nonlinear Elliptic ◽

Domains With Corners

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Finite element error estimates for nonlinear elliptic problems of monotone type

Bulletin of the Australian Mathematical Society ◽

10.1017/s0004972700021171 ◽

1983 ◽

Vol 28 (3) ◽

pp. 445-446 ◽

Cited By ~ 1

Author(s):

Shue-Sum Chow

Keyword(s):

Finite Element ◽

Error Estimates ◽

Elliptic Problems ◽

Nonlinear Elliptic Problems ◽

Nonlinear Elliptic ◽

Element Error ◽

Monotone Type

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