On mixed finite element formulations and stress recovery techniques

International Journal for Numerical Methods in Engineering ◽

10.1002/(sici)1097-0207(20000110/30)47:1/3<191::aid-nme767>3.0.co;2-s ◽

2000 ◽

Vol 47 (1-3) ◽

pp. 191-204 ◽

Author(s):

Alejandro Mota ◽

John F. Abel

Keyword(s):

Finite Element ◽

Mixed Finite Element ◽

Stress Recovery ◽

Recovery Techniques ◽

Finite Element Formulations

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On the Performance of Mixed Finite Element Formulations in Nonlinear Analysis

Computational Mechanics ’88 ◽

10.1007/978-3-642-61381-4_266 ◽

1988 ◽

pp. 1010-1013

Author(s):

B.-H. Kröplin ◽

D. Dinkler

Keyword(s):

Finite Element ◽

Nonlinear Analysis ◽

Mixed Finite Element ◽

Finite Element Formulations

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Mixed Finite Element Formulations with Volume Bubble Functions for Triangular Elements

Proceedings of the Twelfth International Conference on Civil, Structural and Environmental Engineering Computing ◽

10.4203/ccp.91.285 ◽

2009 ◽

Author(s):

I. Caylak ◽

R. Mahnken

Keyword(s):

Finite Element ◽

Mixed Finite Element ◽

Triangular Elements ◽

Bubble Functions ◽

Finite Element Formulations

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Three‐field mixed finite element formulations for gradient elasticity at finite strains

GAMM-Mitteilungen ◽

10.1002/gamm.202000002 ◽

2019 ◽

Vol 43 (1) ◽

Author(s):

Johannes Riesselmann ◽

Jonas Wilhelm Ketteler ◽

Mira Schedensack ◽

Daniel Balzani

Keyword(s):

Finite Element ◽

Mixed Finite Element ◽

Gradient Elasticity ◽

Finite Strains ◽

Finite Element Formulations

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On the stability analysis of hyperelastic boundary value problems using three- and two-field mixed finite element formulations

Computational Mechanics ◽

10.1007/s00466-017-1415-2 ◽

2017 ◽

Vol 60 (3) ◽

pp. 479-492 ◽

Author(s):

Jörg Schröder ◽

Nils Viebahn ◽

Peter Wriggers ◽

Ferdinando Auricchio ◽

Karl Steeger

Keyword(s):

Finite Element ◽

Stability Analysis ◽

Boundary Value Problems ◽

Mixed Finite Element ◽

Boundary Value ◽

The Stability ◽

Finite Element Formulations

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Ultra-weak symmetry of stress for augmented mixed finite element formulations in continuum mechanics

CALCOLO ◽

10.1007/s10092-019-0351-2 ◽

2019 ◽

Vol 57 (1) ◽

Author(s):

Javier A. Almonacid ◽

Gabriel N. Gatica ◽

Ricardo Ruiz-Baier

Keyword(s):

Finite Element ◽

Continuum Mechanics ◽

Mixed Finite Element ◽

Weak Symmetry ◽

Finite Element Formulations

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A Study on Mixed Finite Element Formulations Applied to Diffusion Problems

PAMM ◽

10.1002/pamm.201410230 ◽

2014 ◽

Vol 14 (1) ◽

pp. 485-486

Author(s):

Stefan Kaessmair ◽

Ali Javili ◽

Paul Steinmann

Keyword(s):

Finite Element ◽

Mixed Finite Element ◽

Finite Element Formulations ◽

Diffusion Problems

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Comparison of different least-squares mixed finite element formulations for hyperelasticity

PAMM ◽

10.1002/pamm.201610108 ◽

2016 ◽

Vol 16 (1) ◽

pp. 239-240

Author(s):

Alexander Schwarz ◽

Karl Steeger ◽

Maximilian Igelbüscher ◽

Jörg Schröder

Keyword(s):

Finite Element ◽

Least Squares ◽

Mixed Finite Element ◽

Finite Element Formulations

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Mixed finite element formulations with volume bubble functions for triangular elements

Computers & Structures ◽

10.1016/j.compstruc.2011.07.004 ◽

2011 ◽

Vol 89 (21-22) ◽

pp. 1844-1851 ◽

Author(s):

I. Caylak ◽

R. Mahnken

Keyword(s):

Finite Element ◽

Mixed Finite Element ◽

Triangular Elements ◽

Bubble Functions ◽

Finite Element Formulations

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Towards the Direct and Inverse Adaptive Mixed Finite Element Formulations for Nearly Incompressible Elasticity at Large Strains

Advanced Finite Element Methods and Applications - Lecture Notes in Applied and Computational Mechanics ◽

10.1007/978-3-642-30316-6_14 ◽

2013 ◽

pp. 299-323

Author(s):

Anke Bucher ◽

Uwe–Jens Görke ◽

Reiner Kreißig

Keyword(s):

Finite Element ◽

Mixed Finite Element ◽

Large Strains ◽

Incompressible Elasticity ◽

Nearly Incompressible Elasticity ◽

Finite Element Formulations

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ON THE INF–SUP CONDITION OF MIXED FINITE ELEMENT FORMULATIONS FOR ACOUSTIC FLUIDS

Mathematical Models and Methods in Applied Sciences ◽

10.1142/s0218202501001161 ◽

2001 ◽

Vol 11 (05) ◽

pp. 883-901 ◽

Author(s):

WEIZHU BAO ◽

XIAODONG WANG ◽

KLAUS-JÜRGEN BATHE

Keyword(s):

Finite Element ◽

Error Bounds ◽

Natural Frequencies ◽

Mixed Finite Element ◽

Optimal Error ◽

Finite Element Discretizations ◽

Analytical Proof ◽

The Stability ◽

Element Discretizations ◽

Finite Element Formulations

The objective of this paper is to present a study of the solvability, stability and optimal error bounds of certain mixed finite element formulations for acoustic fluids. An analytical proof of the stability and optimal error bounds of a set of three-field mixed finite element discretizations is given, and the interrelationship between the inf–sup condition, including the numerical inf–sup test, and the eigenvalue problem pertaining to the natural frequencies is discussed.

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