Convergence of an Adaptive Mixed Finite Element Method for Kirchhoff Plate Bending Problems

Jianguo Huang; Xuehai Huang; Yifeng Xu

doi:10.1137/090773374

Convergence of an Adaptive Mixed Finite Element Method for Kirchhoff Plate Bending Problems

SIAM Journal on Numerical Analysis ◽

10.1137/090773374 ◽

2011 ◽

Vol 49 (2) ◽

pp. 574-607 ◽

Cited By ~ 16

Author(s):

Jianguo Huang ◽

Xuehai Huang ◽

Yifeng Xu

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Kirchhoff Plate ◽

Plate Bending ◽

Bending Problems ◽

Element Method

Download Full-text

On the convergence of a mixed finite-element method for plate bending problems

Numerische Mathematik ◽

10.1007/bf01436186 ◽

1973 ◽

Vol 21 (1) ◽

pp. 43-62 ◽

Cited By ~ 93

Author(s):

Claes Johnson

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Plate Bending ◽

Bending Problems ◽

Element Method

Download Full-text

On a mixed finite element method for clamped anisotropic plate bending problems

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1620280609 ◽

1989 ◽

Vol 28 (6) ◽

pp. 1351-1370 ◽

Cited By ~ 4

Author(s):

S. Gopalsamy ◽

S. Balasundaram ◽

P. K. Bhattacharyya

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Anisotropic Plate ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Plate Bending ◽

Bending Problems ◽

Element Method

Download Full-text

A mixed finite element method for the elastoplastic plate bending and buckling

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(85)90112-4 ◽

1985 ◽

Vol 50 (1) ◽

pp. 1-23 ◽

Cited By ~ 1

Author(s):

T. Hadhri

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Plate Bending ◽

Element Method

Download Full-text

A mixed finite element method for plate bending with a unilateral inner obstacle

Applications of Mathematics ◽

10.21136/am.1994.134241 ◽

1994 ◽

Vol 39 (1) ◽

pp. 25-44

Author(s):

Ivan Hlaváček

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Plate Bending ◽

Element Method

Download Full-text

A mixed finite element method for the biharmonic eigenvalue problems of plate bending

Publications of the Research Institute for Mathematical Sciences ◽

10.2977/prims/1195189071 ◽

1978 ◽

Vol 14 (2) ◽

pp. 399-414 ◽

Cited By ~ 23

Author(s):

Kazuo Ishihara

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Eigenvalue Problems ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Plate Bending ◽

Biharmonic Eigenvalue Problems ◽

Element Method

Download Full-text

Analysis of an augmented fully-mixed finite element method for a bioconvective flows model

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113504 ◽

2021 ◽

Vol 393 ◽

pp. 113504

Author(s):

Eligio Colmenares ◽

Gabriel N. Gatica ◽

Willian Miranda

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Element Method

Download Full-text

Modeling and simulation of functionally graded flexoelectric micro-cylinders based on the mixed finite element method

Applied Physics A ◽

10.1007/s00339-021-04316-z ◽

2021 ◽

Vol 127 (2) ◽

Author(s):

Yicong Zheng ◽

Liangliang Chu ◽

Guansuo Dui ◽

Xiang Zhu

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Modeling And Simulation ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Functionally Graded ◽

Element Method

Download Full-text

A Collocation Mixed Finite Element Method for the Analysis of Flexoelectric Solids

International Journal of Solids and Structures ◽

10.1016/j.ijsolstr.2021.01.031 ◽

2021 ◽

Author(s):

Xinpeng Tian ◽

Jan Sladek ◽

Vladimir Sladek ◽

Qian Deng ◽

Qun Li

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Element Method

Download Full-text

OptimalL ∞-estimates for a mixed finite element method for second order elliptic and parabolic problems

CALCOLO ◽

10.1007/bf02576470 ◽

1983 ◽

Vol 20 (3) ◽

pp. 355-377 ◽

Cited By ~ 13

Author(s):

R. Scholz

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Second Order ◽

Parabolic Problems ◽

Element Method

Download Full-text

A Stochastic Mortar Mixed Finite Element Method for Flow in Porous Media with Multiple Rock Types

SIAM Journal on Scientific Computing ◽

10.1137/100790689 ◽

2011 ◽

Vol 33 (3) ◽

pp. 1439-1474 ◽

Cited By ~ 11

Author(s):

Benjamin Ganis ◽

Ivan Yotov ◽

Ming Zhong

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Porous Media ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Flow In Porous Media ◽

Rock Types ◽

Element Method

Download Full-text