Adaptive Solution of a Singularly-Perturbed Convection-Diffusion Problem Using a Stabilized Mixed Finite Element Method

Lecture Notes in Computational Science and Engineering - Numerical Mathematics and Advanced Applications ENUMATH 2017 ◽

10.1007/978-3-319-96415-7_69 ◽

2019 ◽

pp. 743-751

Author(s):

María González ◽

Magdalena Strugaru

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Diffusion Problem ◽

Singularly Perturbed ◽

Convection Diffusion ◽

Adaptive Solution ◽

Stabilized Mixed Finite Element ◽

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Low Order Nonconforming Expanded Characteristic- Mixed Finite Element Method for the Convection- Diffusion Problem

Applied Mathematics & Information Sciences ◽

10.12785/amis/071l11 ◽

2013 ◽

Vol 7 (1L) ◽

pp. 67-74 ◽

Author(s):

Dongyang Shi ◽

Jinhuan Chen ◽

Xiaoling Wang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Diffusion Problem ◽

Convection Diffusion ◽

Element Method ◽

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Convergence analysis of weak Galerkin flux-based mixed finite element method for solving singularly perturbed convection-diffusion-reaction problem

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.01.016 ◽

2021 ◽

Vol 163 ◽

pp. 303-316

Author(s):

Zeinab Gharibi ◽

Mehdi Dehghan

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Convergence Analysis ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Singularly Perturbed ◽

Diffusion Reaction ◽

Weak Galerkin ◽

Convection Diffusion ◽

Reaction Problem

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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 ◽

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 ◽

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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 ◽

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 ◽

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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 ◽

Author(s):

Arif Masud

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Flow ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Stabilized Mixed Finite Element ◽

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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 ◽

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 ◽

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On an adaptive stabilized mixed finite element method for the Oseen problem with mixed boundary conditions

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2020.113007 ◽

2020 ◽

Vol 365 ◽

pp. 113007

Author(s):

Tomás P. Barrios ◽

J. Manuel Cascón ◽

María González

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Boundary Conditions ◽

Mixed Boundary ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Mixed Boundary Conditions ◽

Oseen Problem ◽

Stabilized Mixed Finite Element ◽

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A Stabilized Mixed Finite Element Method for Elliptic Systems of First Order

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142902408829 ◽

2005 ◽

Vol 43 (3) ◽

pp. 949-969 ◽

Author(s):

Manfred Dobrowolski ◽

Manuel Villegas

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Elliptic Systems ◽

Mixed Finite Element Method ◽

First Order ◽

Stabilized Mixed Finite Element ◽

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A stabilized mixed finite element method for steady and unsteady reaction–diffusion equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2016.01.010 ◽

2016 ◽

Vol 304 ◽

pp. 102-117 ◽

Author(s):

Hongfei Fu ◽

Hui Guo ◽

Jian Hou ◽

Junlong Zhao

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Reaction Diffusion ◽

Mixed Finite Element Method ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Stabilized Mixed Finite Element ◽

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A unified stabilized mixed finite element method for coupling Stokes and Darcy flows

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2009.03.011 ◽

2009 ◽

Vol 198 (33-36) ◽

pp. 2692-2699 ◽

Author(s):

Hongxing Rui ◽

Ran Zhang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Darcy Flows ◽

Stabilized Mixed Finite Element ◽

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