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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Least-Squares Mixed Finite Element Formulations for Isotropic and Anisotropic Elasticity at Small and Large Strains

Advanced Finite Element Technologies - CISM International Centre for Mechanical Sciences ◽

10.1007/978-3-319-31925-4_6 ◽

2016 ◽

pp. 131-175 ◽

Author(s):

Jörg Schröder ◽

Alexander Schwarz ◽

Karl Steeger

Keyword(s):

Finite Element ◽

Least Squares ◽

Mixed Finite Element ◽

Anisotropic Elasticity ◽

Large Strains ◽

Finite Element Formulations

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Implicit time discretization schemes for mixed least-squares finite element formulations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2020.113111 ◽

2020 ◽

Vol 368 ◽

pp. 113111

Author(s):

Solveigh Averweg ◽

Alexander Schwarz ◽

Carina Nisters ◽

Jörg Schröder

Keyword(s):

Finite Element ◽

Least Squares ◽

Time Discretization ◽

Implicit Time ◽

Discretization Schemes ◽

Finite Element Formulations

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An adaptive least-squares mixed finite element method for nonlinear parabolic problems

Computational Mathematics and Modeling ◽

10.1007/s10598-009-9028-z ◽

2009 ◽

Vol 20 (2) ◽

pp. 192-206

Author(s):

Haiming Gu ◽

Hongwei Li

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Least Squares ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Parabolic Problems ◽

Nonlinear Parabolic Problems ◽

Nonlinear Parabolic ◽

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An approximate factorization/least squares solution method for a mixed finite element approximation of the Cahn-Hilliard equation

Japan Journal of Industrial and Applied Mathematics ◽

10.1007/bf03167260 ◽

1996 ◽

Vol 13 (3) ◽

pp. 495-517 ◽

Author(s):

E. J. Dean ◽

R. Glowinski ◽

D. A. Trevas

Keyword(s):

Finite Element ◽

Least Squares ◽

Solution Method ◽

Mixed Finite Element ◽

Finite Element Approximation ◽

Element Approximation ◽

Approximate Factorization ◽

Least Squares Solution ◽

Hilliard Equation ◽

Cahn Hilliard Equation

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Modified mixed least-squares finite element formulations for small and finite strain plasticity

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.5951 ◽

2018 ◽

Vol 117 (1) ◽

pp. 141-160 ◽

Author(s):

Maximilian Igelbüscher ◽

Alexander Schwarz ◽

Karl Steeger ◽

Jörg Schröder

Keyword(s):

Finite Element ◽

Least Squares ◽

Finite Strain ◽

Finite Strain Plasticity ◽

Strain Plasticity ◽

Finite Element Formulations

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Least-Squares Expanded Mixed Finite Element Method for Incompressible Miscible Displacement Problem in Porous Media

Future Computing, Communication, Control and Management - Lecture Notes in Electrical Engineering ◽

10.1007/978-3-642-27326-1_30 ◽

2012 ◽

pp. 233-240

Author(s):

Fengxin Chen ◽

Huanzhen Chen

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Porous Media ◽

Least Squares ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Miscible Displacement ◽

Displacement Problem ◽

Expanded Mixed Finite Element ◽

Incompressible Miscible Displacement Problem

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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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An improved mixed finite element based on a modified least-squares formulation for hyperelasticity

PAMM ◽

10.1002/pamm.201410109 ◽

2014 ◽

Vol 14 (1) ◽

pp. 243-244

Author(s):

Alexander Schwarz ◽

Karl Steeger ◽

Jörg Schröder ◽

Gerhard Starke ◽

Benjamin Müller

Keyword(s):

Finite Element ◽

Least Squares ◽

Mixed Finite Element

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