A Coupled Mixed Finite Element Method for the Interaction Problem between an Electromagnetic Field and an Elastic Body

Gabriel N. Gatica; George C. Hsiao; Salim Meddahi

doi:10.1137/090754212

A Coupled Mixed Finite Element Method for the Interaction Problem between an Electromagnetic Field and an Elastic Body

SIAM Journal on Numerical Analysis ◽

10.1137/090754212 ◽

2010 ◽

Vol 48 (4) ◽

pp. 1338-1368 ◽

Cited By ~ 13

Author(s):

Gabriel N. Gatica ◽

George C. Hsiao ◽

Salim Meddahi

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Electromagnetic Field ◽

Elastic Body ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Interaction Problem ◽

Element Method

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A priori error estimates for a coupled finite element method and mixed finite element method for a fluid-solid interaction problem

IMA Journal of Numerical Analysis ◽

10.1093/imanum/24.4.671 ◽

2004 ◽

Vol 24 (4) ◽

pp. 671-698 ◽

Cited By ~ 2

Author(s):

X. Feng

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Estimates ◽

Mixed Finite Element ◽

A Priori ◽

Mixed Finite Element Method ◽

Priori Error Estimates ◽

Fluid Solid Interaction ◽

Interaction Problem ◽

Element Method

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A monolithic mixed finite element method for a fluid-structure interaction problem

Applied Mathematics and Computation ◽

10.1016/j.amc.2019.124615 ◽

2019 ◽

Vol 363 ◽

pp. 124615 ◽

Cited By ~ 2

Author(s):

Maranda Bean ◽

Son-Young Yi

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Fluid Structure Interaction ◽

Mixed Finite Element Method ◽

Fluid Structure ◽

Structure Interaction ◽

Interaction Problem ◽

Element Method

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A priorierror analysis of a fully-mixed finite element method for a two-dimensional fluid-solid interaction problem

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/2012043 ◽

2013 ◽

Vol 47 (2) ◽

pp. 471-506 ◽

Cited By ~ 7

Author(s):

Carolina Domínguez ◽

Gabriel N. Gatica ◽

Salim Meddahi ◽

Ricardo Oyarzúa

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Two Dimensional ◽

Fluid Solid Interaction ◽

Interaction Problem ◽

Element Method

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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

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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

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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

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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

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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

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Mixed finite element method for the nonlinear time-fractional stochastic fourth-order reaction–diffusion equation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2020.12.004 ◽

2021 ◽

Vol 84 ◽

pp. 39-55

Author(s):

Xinfei Liu ◽

Xiaoyuan Yang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Equation ◽

Fourth Order ◽

Mixed Finite Element ◽

Reaction Diffusion ◽

Mixed Finite Element Method ◽

Order Reaction ◽

Reaction Diffusion Equation ◽

Element Method

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Multigrid Methods for a Mixed Finite Element Method of the Darcy–Forchheimer Model

Journal of Scientific Computing ◽

10.1007/s10915-017-0466-z ◽

2017 ◽

Vol 74 (1) ◽

pp. 396-411 ◽

Cited By ~ 5

Author(s):

Jian Huang ◽

Long Chen ◽

Hongxing Rui

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Multigrid Methods ◽

Forchheimer Model ◽

Element Method

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