The optimal convergence analysis for an immersed finite element method

International Conference on Information Science and Technology ◽

10.1109/icist.2011.5765248 ◽

2011 ◽

Author(s):

Shuyan Wang ◽

Huanzhen Chen

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Convergence Analysis ◽

Immersed Finite Element Method ◽

Immersed Finite Element ◽

Optimal Convergence ◽

Optimal Convergence Analysis ◽

Element Method

Download Full-text

Optimal convergence analysis for the extended finite element method

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.3092 ◽

2011 ◽

Vol 86 (4-5) ◽

pp. 528-548 ◽

Cited By ~ 34

Author(s):

Serge Nicaise ◽

Yves Renard ◽

Elie Chahine

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Convergence Analysis ◽

Extended Finite Element Method ◽

Extended Finite Element ◽

Optimal Convergence ◽

Optimal Convergence Analysis ◽

Element Method

Download Full-text

Optimal convergence analysis of an immersed interface finite element method

Advances in Computational Mathematics ◽

10.1007/s10444-009-9122-y ◽

2009 ◽

Vol 33 (2) ◽

pp. 149-168 ◽

Cited By ~ 42

Author(s):

So-Hsiang Chou ◽

Do Y. Kwak ◽

K. T. Wee

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Convergence Analysis ◽

Immersed Interface ◽

Optimal Convergence ◽

Optimal Convergence Analysis ◽

Element Method

Download Full-text

Optimal Convergence Analysis of a Mixed Finite Element Method for Fourth-Order Elliptic Problems

Communications in Computational Physics ◽

10.4208/cicp.oa-2017-0168 ◽

2018 ◽

Vol 24 (2) ◽

Cited By ~ 3

Author(s):

Yue Yan ◽

Weijia Li ◽

Wenbin Chen ◽

Yanqiu Wang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Convergence Analysis ◽

Fourth Order ◽

Mixed Finite Element ◽

Elliptic Problems ◽

Mixed Finite Element Method ◽

Optimal Convergence ◽

Optimal Convergence Analysis ◽

Element Method

Download Full-text

Discontinuous bubble immersed finite element method for Poisson-Boltzmann-Nerst-Plank model

Journal of Computational Physics ◽

10.1016/j.jcp.2021.110370 ◽

2021 ◽

pp. 110370

Author(s):

In Kwon ◽

Do Y. Kwak ◽

Gwanghyun Jo

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Immersed Finite Element Method ◽

Immersed Finite Element ◽

Poisson Boltzmann ◽

Element Method

Download Full-text

An “immersed” finite element method based on a locally anisotropic remeshing for the incompressible Stokes problem

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2014.10.001 ◽

2015 ◽

Vol 294 ◽

pp. 428-448 ◽

Cited By ~ 5

Author(s):

F. Auricchio ◽

F. Brezzi ◽

A. Lefieux ◽

A. Reali

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Problem ◽

Immersed Finite Element Method ◽

Immersed Finite Element ◽

Element Method

Download Full-text

Immersed Finite Element Method for Eigenvalue Problems in Elasticity

Advances in Applied Mathematics and Mechanics ◽

10.4208/aamm.oa-2016-0189 ◽

2018 ◽

Vol 10 (2) ◽

pp. 424-444 ◽

Cited By ~ 2

Author(s):

Seungwoo Lee

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Eigenvalue Problems ◽

Immersed Finite Element Method ◽

Immersed Finite Element ◽

Element Method

Download Full-text

A new augmented immersed finite element method without using SVD interpolations

Numerical Algorithms ◽

10.1007/s11075-015-9999-0 ◽

2015 ◽

Vol 71 (2) ◽

pp. 395-416 ◽

Cited By ~ 9

Author(s):

Haifeng Ji ◽

Jinru Chen ◽

Zhilin Li

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Immersed Finite Element Method ◽

Immersed Finite Element ◽

Element Method

Download Full-text

Modeling and an immersed finite element method for an interface wave equation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2018.07.015 ◽

2018 ◽

Vol 76 (7) ◽

pp. 1625-1638 ◽

Cited By ~ 12

Author(s):

Jinwei Bai ◽

Yong Cao ◽

Xiaoming He ◽

Hongyan Liu ◽

Xiaofeng Yang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Wave Equation ◽

Immersed Finite Element Method ◽

Immersed Finite Element ◽

Interface Wave ◽

Element Method

Download Full-text

A Higher Degree Immersed Finite Element Method Based on a Cauchy Extension for Elliptic Interface Problems

SIAM Journal on Numerical Analysis ◽

10.1137/18m121318x ◽

2019 ◽

Vol 57 (4) ◽

pp. 1545-1573 ◽

Cited By ~ 6

Author(s):

Ruchi Guo ◽

Tao Lin

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Interface Problems ◽

Elliptic Interface Problems ◽

Immersed Finite Element Method ◽

Immersed Finite Element ◽

Element Method

Download Full-text

Three‐dimensional immersed finite‐element method for anisotropic magnetostatic/electrostatic interface problems with nonhomogeneous flux jump

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.6301 ◽

2020 ◽

Vol 121 (10) ◽

pp. 2107-2127 ◽

Cited By ~ 3

Author(s):

Chang Lu ◽

Zhi Yang ◽

Jinwei Bai ◽

Yong Cao ◽

Xiaoming He

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Three Dimensional ◽

Interface Problems ◽

Immersed Finite Element Method ◽

Immersed Finite Element ◽

Flux Jump ◽

Element Method

Download Full-text