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

A mixed finite element method for non-linear and nearly incompressible elasticity based on biorthogonal systems

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.2594 ◽

2009 ◽

Vol 79 (7) ◽

pp. 870-886 ◽

Cited By ~ 11

Author(s):

Bishnu P. Lamichhane

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Biorthogonal Systems ◽

Non Linear ◽

A simple and efficient Hellinger–Reissner type mixed finite element for nearly incompressible elasticity

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2018.06.001 ◽

2018 ◽

Vol 340 ◽

pp. 278-295 ◽

Cited By ~ 6

Author(s):

Nils Viebahn ◽

Karl Steeger ◽

Jörg Schröder

Keyword(s):

Finite Element ◽

Mixed Finite Element ◽

Nearly Incompressible Elasticity

A symmetric mixed finite element method for nearly incompressible elasticity based on biorthogonal systems

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20683 ◽

2011 ◽

Vol 28 (4) ◽

pp. 1336-1353 ◽

Cited By ~ 8

Author(s):

Bishnu P. Lamichhane ◽

Ernst P. Stephan

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Biorthogonal Systems ◽

A mixed finite element method for nearly incompressible elasticity and Stokes equations using primal and dual meshes with quadrilateral and hexahedral grids

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2013.09.056 ◽

2014 ◽

Vol 260 ◽

pp. 356-363 ◽

Cited By ~ 4

Author(s):

Bishnu P. Lamichhane

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Equations ◽

Mixed Finite Element ◽

Primal And Dual ◽

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

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

10.1007/978-3-319-31925-4_6 ◽

2016 ◽

pp. 131-175 ◽

Cited By ~ 7

Author(s):

Jörg Schröder ◽

Alexander Schwarz ◽

Karl Steeger

Keyword(s):

Finite Element ◽

Least Squares ◽

Mixed Finite Element ◽

Anisotropic Elasticity ◽

Large Strains ◽

A stabilized mixed finite element method based on g-biorthogonal systems for nearly incompressible elasticity

Computers & Structures ◽

10.1016/j.compstruc.2014.02.008 ◽

2014 ◽

Vol 140 ◽

pp. 48-54 ◽

Cited By ~ 5

Author(s):

Bishnu P. Lamichhane

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Biorthogonal Systems ◽

Stabilized Mixed Finite Element ◽

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 ◽

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

Mixed Finite Element Formulations with Volume Bubble Functions for Triangular Elements

10.4203/ccp.91.285 ◽

2009 ◽

Author(s):

I. Caylak ◽

R. Mahnken

Keyword(s):

Finite Element ◽

Mixed Finite Element ◽

Triangular Elements ◽

Bubble Functions ◽

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 ◽

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 ◽

Cited By ~ 5

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 ◽