A new high-order immersed interface method for solving elliptic equations with imbedded interface of discontinuity

Xiaolin Zhong

doi:10.1016/j.jcp.2007.01.017

A new high-order immersed interface method for solving elliptic equations with imbedded interface of discontinuity

Journal of Computational Physics ◽

10.1016/j.jcp.2007.01.017 ◽

2007 ◽

Vol 225 (1) ◽

pp. 1066-1099 ◽

Cited By ~ 46

Author(s):

Xiaolin Zhong

Keyword(s):

Elliptic Equations ◽

High Order ◽

Immersed Interface Method ◽

Immersed Interface

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High order immersed interface method for compressible transonic flows

10.26678/abcm.cobem2021.cob2021-0054 ◽

2021 ◽

Author(s):

Ligia Velandia ◽

Jhonathan Solarte Pineda ◽

Paulo Greco

Keyword(s):

High Order ◽

Immersed Interface Method ◽

Immersed Interface ◽

Transonic Flows

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High Order Scheme for Schrödinger Equation with Discontinuous Potential I: Immersed Interface Method

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.2011.m1036 ◽

2011 ◽

Vol 4 (4) ◽

pp. 576-597

Author(s):

Hao Wu

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

High Order ◽

Immersed Interface Method ◽

Immersed Interface ◽

High Order Scheme ◽

Order Scheme

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Correction to the article ``A comparison of the extended finite element method with the immersed interface method for elliptic equations with discontinuous coefficients and singular sources'' by Vaughan et al.

Communications in Applied Mathematics and Computational Science ◽

10.2140/camcos.2008.3.95 ◽

2008 ◽

Vol 3 (1) ◽

pp. 95-101 ◽

Cited By ~ 4

Author(s):

J. Thomas Beale ◽

David Chopp ◽

Randall LeVeque ◽

Zhilin Li

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Elliptic Equations ◽

Extended Finite Element Method ◽

Discontinuous Coefficients ◽

Extended Finite Element ◽

Immersed Interface Method ◽

Immersed Interface ◽

Element Method

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The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources

SIAM Journal on Numerical Analysis ◽

10.1137/0731054 ◽

1994 ◽

Vol 31 (4) ◽

pp. 1019-1044 ◽

Cited By ~ 819

Author(s):

Randall J. LeVeque ◽

Zhilin Li

Keyword(s):

Elliptic Equations ◽

Discontinuous Coefficients ◽

Immersed Interface Method ◽

Immersed Interface

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A high-order immersed interface method free of derivative jump conditions for Poisson equations on irregular domains

Journal of Computational Physics ◽

10.1016/j.jcp.2020.109791 ◽

2020 ◽

Vol 423 ◽

pp. 109791

Author(s):

Marilaine Colnago ◽

Wallace Casaca ◽

Leandro Franco de Souza

Keyword(s):

High Order ◽

Jump Conditions ◽

Irregular Domains ◽

Immersed Interface Method ◽

Immersed Interface ◽

Poisson Equations

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Very High-Order Accurate Sharp Immersed Interface Method: Application to Direct Numerical Simulations of Incompressible Flows

23rd AIAA Computational Fluid Dynamics Conference ◽

10.2514/6.2017-3624 ◽

2017 ◽

Cited By ~ 2

Author(s):

Shirzad Hosseinverdi ◽

Hermann F. Fasel

Keyword(s):

Numerical Simulations ◽

Incompressible Flows ◽

High Order ◽

Direct Numerical Simulations ◽

Immersed Interface Method ◽

Immersed Interface ◽

Very High

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A decomposed immersed interface method for variable coefficient elliptic equations with non-smooth and discontinuous solutions

Journal of Computational Physics ◽

10.1016/j.jcp.2003.12.003 ◽

2004 ◽

Vol 197 (1) ◽

pp. 364-386 ◽

Cited By ~ 72

Author(s):

Petter Andreas Berthelsen

Keyword(s):

Elliptic Equations ◽

Variable Coefficient ◽

Discontinuous Solutions ◽

Immersed Interface Method ◽

Immersed Interface

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A High-Order Immersed Interface Method for Compressible Flows

7th AIAA Theoretical Fluid Mechanics Conference ◽

10.2514/6.2014-2093 ◽

2014 ◽

Author(s):

Christoph Brehm ◽

Michael F. Barad ◽

Christoph Hader

Keyword(s):

Compressible Flows ◽

High Order ◽

Immersed Interface Method ◽

Immersed Interface

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A high-order immersed interface method for simulating unsteady incompressible flows on irregular domains

Journal of Computational Physics ◽

10.1016/j.jcp.2004.09.017 ◽

2005 ◽

Vol 204 (1) ◽

pp. 157-192 ◽

Cited By ~ 210

Author(s):

Mark N. Linnick ◽

Hermann F. Fasel

Keyword(s):

Incompressible Flows ◽

High Order ◽

Irregular Domains ◽

Immersed Interface Method ◽

Immersed Interface

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A comparison of the extended finite element method with the immersed interface method for elliptic equations with discontinuous coefficients and singular sources

Communications in Applied Mathematics and Computational Science ◽

10.2140/camcos.2006.1.207 ◽

2006 ◽

Vol 1 (1) ◽

pp. 207-228 ◽

Cited By ~ 24

Author(s):

Benjamin Vaughan ◽

Bryan Smith ◽

David Chopp

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Elliptic Equations ◽

Extended Finite Element Method ◽

Discontinuous Coefficients ◽

Extended Finite Element ◽

Immersed Interface Method ◽

Immersed Interface ◽

Element Method

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