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 ◽

Mixed Finite Element Method ◽

Biorthogonal Systems ◽

Incompressible Elasticity ◽

Nearly Incompressible Elasticity ◽

Stabilized Mixed Finite Element ◽

Element Method

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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 ◽

Mixed Finite Element Method ◽

Biorthogonal Systems ◽

Non Linear ◽

Incompressible Elasticity ◽

Nearly Incompressible Elasticity ◽

Element Method

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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 ◽

Mixed Finite Element Method ◽

Biorthogonal Systems ◽

Incompressible Elasticity ◽

Nearly Incompressible Elasticity ◽

Element Method

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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 ◽

Mixed Finite Element Method ◽

Primal And Dual ◽

Incompressible Elasticity ◽

Nearly Incompressible Elasticity ◽

Element Method

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A stabilized mixed finite element method for the biharmonic equation based on biorthogonal systems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2011.05.005 ◽

2011 ◽

Vol 235 (17) ◽

pp. 5188-5197 ◽

Cited By ~ 16

Author(s):

Bishnu P. Lamichhane

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Biharmonic Equation ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Biorthogonal Systems ◽

Stabilized Mixed Finite Element ◽

Element Method

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A stabilized mixed finite element method for finite elasticity.

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(99)00059-6 ◽

1999 ◽

Vol 180 (1-2) ◽

pp. 65-79 ◽

Cited By ~ 71

Author(s):

Ottmar Klaas ◽

Antoinette Maniatty ◽

Mark S. Shephard

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Finite Elasticity ◽

Mixed Finite Element Method ◽

Stabilized Mixed Finite Element ◽

Element Method

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A new stabilized mixed finite-element method for Poisson equation based on two local Gauss integrations for linear element pair

International Journal of Computer Mathematics ◽

10.1080/00207160.2010.534466 ◽

2011 ◽

Vol 88 (11) ◽

pp. 2293-2305 ◽

Cited By ~ 25

Author(s):

Feng Shi ◽

Jiaping Yu ◽

Kaitai Li

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Poisson Equation ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Linear Element ◽

Element Pair ◽

Stabilized Mixed Finite Element ◽

Element Method

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A stabilized mixed finite element method for Darcy–Stokes flow

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.1508 ◽

2007 ◽

Vol 54 (6-8) ◽

pp. 665-681 ◽

Cited By ~ 17

Author(s):

Arif Masud

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Flow ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Stabilized Mixed Finite Element ◽

Element Method

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A Mixed Finite Element Method for the Biharmonic Problem Using Biorthogonal or Quasi-Biorthogonal Systems

Journal of Scientific Computing ◽

10.1007/s10915-010-9409-7 ◽

2010 ◽

Vol 46 (3) ◽

pp. 379-396 ◽

Cited By ~ 10

Author(s):

Bishnu P. Lamichhane

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Biorthogonal Systems ◽

Biharmonic Problem ◽

Element Method

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A stabilized mixed finite element method for Poisson problem based on a three-field formulation

ANZIAM Journal ◽

10.21914/anziamj.v57i0.10356 ◽

2016 ◽

Vol 57 ◽

pp. 177 ◽

Cited By ~ 1

Author(s):

Muhammad Ilyas ◽

Bishnu Prasad Lamichhane

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Poisson Problem ◽

Stabilized Mixed Finite Element ◽

Element Method

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A stabilised mixed finite element method for thin plate splines based on biorthogonal systems

ANZIAM Journal ◽

10.21914/anziamj.v54i0.6218 ◽

2013 ◽

Vol 54 ◽

pp. 72 ◽

Cited By ~ 1

Author(s):

Bishnu Prasad Lamichhane ◽

Markus Hegland

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Thin Plate ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Thin Plate Splines ◽

Biorthogonal Systems ◽

Element Method

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