Solving Interface Problems of the Helmholtz Equation by Immersed Finite Element Methods

Communications on Applied Mathematics and Computation ◽

10.1007/s42967-019-0002-2 ◽

2019 ◽

Vol 1 (2) ◽

pp. 187-206

Author(s):

Tao Lin ◽

Yanping Lin ◽

Qiao Zhuang

Keyword(s):

Finite Element ◽

Helmholtz Equation ◽

Finite Element Methods ◽

Interface Problems ◽

Immersed Finite Element ◽

Immersed Finite Element Methods

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A class of nonconforming immersed finite element methods for Stokes interface problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113493 ◽

2021 ◽

pp. 113493

Author(s):

Derrick Jones ◽

Xu Zhang

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Interface Problems ◽

Immersed Finite Element ◽

Immersed Finite Element Methods

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A two-grid method for semi-linear elliptic interface problems by partially penalized immersed finite element methods

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2019.10.015 ◽

2020 ◽

Vol 169 ◽

pp. 1-15 ◽

Author(s):

Yang Wang ◽

Yanping Chen ◽

Yunqing Huang

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Grid Method ◽

Interface Problems ◽

Elliptic Interface Problems ◽

Immersed Finite Element ◽

Immersed Finite Element Methods

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Superconvergence of immersed finite element methods for interface problems

Advances in Computational Mathematics ◽

10.1007/s10444-016-9507-7 ◽

2017 ◽

Vol 43 (4) ◽

pp. 795-821 ◽

Author(s):

Waixiang Cao ◽

Xu Zhang ◽

Zhimin Zhang

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Interface Problems ◽

Immersed Finite Element ◽

Immersed Finite Element Methods

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Immersed finite element methods for unbounded interface problems with periodic structures

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2016.04.020 ◽

2016 ◽

Vol 307 ◽

pp. 72-81 ◽

Author(s):

Yong Cao ◽

Yuchuan Chu ◽

Xiaoshi Zhang ◽

Xu Zhang

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Periodic Structures ◽

Interface Problems ◽

Immersed Finite Element ◽

Immersed Finite Element Methods

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Partially Penalized Immersed Finite Element Methods For Elliptic Interface Problems

SIAM Journal on Numerical Analysis ◽

10.1137/130912700 ◽

2015 ◽

Vol 53 (2) ◽

pp. 1121-1144 ◽

Author(s):

Tao Lin ◽

Yanping Lin ◽

Xu Zhang

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Interface Problems ◽

Elliptic Interface Problems ◽

Immersed Finite Element ◽

Immersed Finite Element Methods

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Discontinuous Galerkin immersed finite element methods for parabolic interface problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2015.11.020 ◽

2016 ◽

Vol 299 ◽

pp. 127-139 ◽

Author(s):

Qing Yang ◽

Xu Zhang

Keyword(s):

Finite Element ◽

Discontinuous Galerkin ◽

Finite Element Methods ◽

Interface Problems ◽

Immersed Finite Element ◽

Immersed Finite Element Methods

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High degree discontinuous Petrov–Galerkin immersed finite element methods using fictitious elements for elliptic interface problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2018.09.028 ◽

2019 ◽

Vol 362 ◽

pp. 560-573 ◽

Author(s):

Qiao Zhuang ◽

Ruchi Guo

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Interface Problems ◽

Elliptic Interface Problems ◽

Immersed Finite Element ◽

High Degree ◽

Immersed Finite Element Methods

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Partially penalized immersed finite element methods for parabolic interface problems

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21973 ◽

2015 ◽

Vol 31 (6) ◽

pp. 1925-1947 ◽

Author(s):

Tao Lin ◽

Qing Yang ◽

Xu Zhang

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Interface Problems ◽

Immersed Finite Element ◽

Immersed Finite Element Methods

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Two-grid methods for semi-linear elliptic interface problems by immersed finite element methods

Applied Mathematics and Mechanics ◽

10.1007/s10483-019-2538-7 ◽

2019 ◽

Vol 40 (11) ◽

pp. 1657-1676 ◽

Author(s):

Yang Wang ◽

Yanping Chen ◽

Yunqing Huang ◽

Ying Liu

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Interface Problems ◽

Elliptic Interface Problems ◽

Immersed Finite Element ◽

Immersed Finite Element Methods

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A Family of Two-Grid Partially Penalized Immersed Finite Element Methods for Semi-linear Parabolic Interface Problems

Journal of Scientific Computing ◽

10.1007/s10915-021-01575-z ◽

2021 ◽

Vol 88 (3) ◽

Author(s):

Yang Wang ◽

Yanping Chen ◽

Yunqing Huang ◽

Huaming Yi

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Interface Problems ◽

Immersed Finite Element ◽

Immersed Finite Element Methods

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