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

Alexander Schwarz; Karl Steeger; Jörg Schröder; Gerhard Starke; Benjamin Müller

doi:10.1002/pamm.201410109

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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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 ◽

Element Method

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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 ◽

Cited By ~ 13

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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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 Velocity-Pressure-Vorticity Least-Squares Mixed Finite Element Method for the 3D Stokes Equations

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142901399604 ◽

2003 ◽

Vol 41 (6) ◽

pp. 2114-2130 ◽

Cited By ~ 14

Author(s):

Huo-Yuan Duan ◽

Guo-Ping Liang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Least Squares ◽

Stokes Equations ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Velocity Pressure ◽

Element Method

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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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A Weighted Least-Squares Mixed Finite Element Formulation for Quasi-Incompressible Elastodynamics

PAMM ◽

10.1002/pamm.201110135 ◽

2011 ◽

Vol 11 (1) ◽

pp. 287-288 ◽

Cited By ~ 1

Author(s):

Karl Steeger ◽

Alexander Schwarz ◽

Jörg Schröder

Keyword(s):

Finite Element ◽

Least Squares ◽

Mixed Finite Element ◽

Weighted Least Squares ◽

Finite Element Formulation ◽

Element Formulation

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An adaptive least squares mixed finite element method for the stress-displacement formulation of linear elasticity

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20029 ◽

2004 ◽

Vol 21 (1) ◽

pp. 132-148 ◽

Cited By ~ 30

Author(s):

Zhiqiang Cai ◽

Johannes Korsawe ◽

Gerhard Starke

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Least Squares ◽

Linear Elasticity ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Element Method

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A SPLIT LEAST-SQUARES CHARACTERISTIC MIXED FINITE ELEMENT METHOD FOR THE CONVECTION DOMINATED SOBOLEV EQUATIONS

Journal of applied mathematics & informatics ◽

10.14317/jami.2016.019 ◽

2016 ◽

Vol 34 (1_2) ◽

pp. 19-34

Author(s):

MI RAY OHM ◽

JUN YONG SHIN

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Least Squares ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Sobolev Equations ◽

Convection Dominated ◽

Element Method

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A modified least-squares mixed finite element with improved momentum balance

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.2692 ◽

2009 ◽

Vol 81 (3) ◽

pp. 286-306 ◽

Cited By ~ 23

Author(s):

A. Schwarz ◽

J. Schröder ◽

G. Starke

Keyword(s):

Finite Element ◽

Least Squares ◽

Mixed Finite Element ◽

Momentum Balance

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Numerical simulation of the modified regularized long wave equation by split least-squares mixed finite element method

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2014.06.005 ◽

2015 ◽

Vol 109 ◽

pp. 64-73 ◽

Cited By ~ 5

Author(s):

Fuzheng Gao ◽

Feng Qiao ◽

Hongxing Rui

Keyword(s):

Numerical Simulation ◽

Finite Element Method ◽

Finite Element ◽

Wave Equation ◽

Least Squares ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Long Wave ◽

Regularized Long Wave Equation ◽

Element Method

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