Three-field mixed finite element methods for nonlinear elasticity

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2021.113857 ◽

2021 ◽

Vol 382 ◽

pp. 113857

Author(s):

Michael Neunteufel ◽

Astrid S. Pechstein ◽

Joachim Schöberl

Keyword(s):

Finite Element ◽

Nonlinear Elasticity ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Mixed Finite Element Methods

Download Full-text

Compatible-strain mixed finite element methods for 3D compressible and incompressible nonlinear elasticity

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2019.112610 ◽

2019 ◽

Vol 357 ◽

pp. 112610 ◽

Author(s):

Mostafa Faghih Shojaei ◽

Arash Yavari

Keyword(s):

Finite Element ◽

Nonlinear Elasticity ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Incompressible Nonlinear Elasticity

Download Full-text

Compatible-strain mixed finite element methods for incompressible nonlinear elasticity

Journal of Computational Physics ◽

10.1016/j.jcp.2018.01.053 ◽

2018 ◽

Vol 361 ◽

pp. 247-279 ◽

Author(s):

Mostafa Faghih Shojaei ◽

Arash Yavari

Keyword(s):

Finite Element ◽

Nonlinear Elasticity ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Incompressible Nonlinear Elasticity

Download Full-text

Compatible-strain mixed finite element methods for 2D compressible nonlinear elasticity

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2016.09.047 ◽

2017 ◽

Vol 313 ◽

pp. 596-631 ◽

Author(s):

Arzhang Angoshtari ◽

Mostafa Faghih Shojaei ◽

Arash Yavari

Keyword(s):

Finite Element ◽

Nonlinear Elasticity ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Mixed Finite Element Methods

Download Full-text

Mixed Finite Element Methods with Applications to Flow and Other Problems.

10.21236/ada127751 ◽

1983 ◽

Author(s):

Max D. Gunzburger

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Mixed Finite Element Methods

Download Full-text

Mixed finite element methods for geometric modeling using general fourth order geometric flows

Computer Aided Geometric Design ◽

10.1016/j.cagd.2008.12.004 ◽

2009 ◽

Vol 26 (4) ◽

pp. 378-395 ◽

Author(s):

Guoliang Xu

Keyword(s):

Finite Element ◽

Fourth Order ◽

Finite Element Methods ◽

Geometric Modeling ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Geometric Flows

Download Full-text

Analysis of Fully Discrete Mixed Finite Element Methods for Time-dependent Stochastic Stokes Equations with Multiplicative Noise

Journal of Scientific Computing ◽

10.1007/s10915-021-01546-4 ◽

2021 ◽

Vol 88 (2) ◽

Author(s):

Xiaobing Feng ◽

Hailong Qiu

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Multiplicative Noise ◽

Stokes Equations ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Time Dependent ◽

Download Full-text

Optimal Error Estimates of Two Mixed Finite Element Methods for Parabolic Integro-Differential Equations with Nonsmooth Initial Data

Journal of Scientific Computing ◽

10.1007/s10915-012-9666-8 ◽

2013 ◽

Vol 56 (1) ◽

pp. 131-164 ◽

Author(s):

Deepjyoti Goswami ◽

Amiya K. Pani ◽

Sangita Yadav

Keyword(s):

Finite Element ◽

Initial Data ◽

Differential Equations ◽

Error Estimates ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Optimal Error Estimates ◽

Optimal Error ◽

Nonsmooth Initial Data

Download Full-text

Richardson extrapolation and defect correction of mixed finite element methods for integro-differential equations in porous media

Applications of Mathematics ◽

10.1007/s10492-008-0011-3 ◽

2008 ◽

Vol 53 (1) ◽

pp. 13-39 ◽

Author(s):

Shanghui Jia ◽

Deli Li ◽

Tang Liu ◽

Shuhua Zhang

Keyword(s):

Finite Element ◽

Porous Media ◽

Differential Equations ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Richardson Extrapolation ◽

Mixed Finite Element Methods ◽

Defect Correction

Download Full-text

Mixed finite element methods for compressible miscible displacement in porous media

Mathematics of Computation ◽

10.1090/s0025-5718-1991-1094942-7 ◽

1991 ◽

Vol 57 (196) ◽

pp. 507-507 ◽

Author(s):

So-Hsiang Chou ◽

Qian Li

Keyword(s):

Finite Element ◽

Porous Media ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Miscible Displacement ◽

Mixed Finite Element Methods ◽

Compressible Miscible Displacement

Download Full-text

Error Reduction, Convergence and Optimality for Adaptive Mixed Finite Element Methods for Diffusion Equations

Journal of Computational Mathematics ◽

10.4208/jcm.1112-m3480 ◽

2012 ◽

Vol 30 (5) ◽

pp. 483-503 ◽

Author(s):

Shaohong Du and Xiaoping Xie

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Error Reduction ◽

Mixed Finite Element Methods ◽

Diffusion Equations ◽

Convergence And Optimality

Download Full-text