A relaxed weak Galerkin method for elliptic interface problems with low regularity

Applied Numerical Mathematics ◽

10.1016/j.apnum.2018.01.021 ◽

2018 ◽

Vol 128 ◽

pp. 65-80 ◽

Cited By ~ 1

Author(s):

Lunji Song ◽

Shan Zhao ◽

Kaifang Liu

Keyword(s):

Galerkin Method ◽

Interface Problems ◽

Weak Galerkin ◽

Elliptic Interface Problems ◽

Low Regularity

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Hybridized Discontinuous Galerkin Method for Elliptic Interface Problems: Error Estimates Under Low Regularity Assumptions of Solutions

Journal of Scientific Computing ◽

10.1007/s10915-018-0678-x ◽

2018 ◽

Vol 76 (3) ◽

pp. 1657-1673 ◽

Cited By ~ 1

Author(s):

Masaru Miyashita ◽

Norikazu Saito

Keyword(s):

Galerkin Method ◽

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Interface Problems ◽

Elliptic Interface Problems ◽

Low Regularity ◽

Hybridized Discontinuous Galerkin Method

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An immersed weak Galerkin method for elliptic interface problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2018.08.023 ◽

2019 ◽

Vol 362 ◽

pp. 471-483

Author(s):

Lin Mu ◽

Xu Zhang

Keyword(s):

Galerkin Method ◽

Interface Problems ◽

Weak Galerkin ◽

Elliptic Interface Problems

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Weak Galerkin based a posteriori error estimates for second order elliptic interface problems on polygonal meshes

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.04.026 ◽

2019 ◽

Vol 361 ◽

pp. 413-425

Author(s):

Lin Mu

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Second Order ◽

Interface Problems ◽

A Posteriori ◽

Weak Galerkin ◽

Polygonal Meshes ◽

A Posteriori Error ◽

Elliptic Interface Problems

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An Unfitted Discontinuous Galerkin Method Applied to Elliptic Interface Problems

SIAM Journal on Numerical Analysis ◽

10.1137/090763093 ◽

2012 ◽

Vol 50 (6) ◽

pp. 3134-3162 ◽

Cited By ~ 43

Author(s):

Ralf Massjung

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Interface Problems ◽

Elliptic Interface Problems

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Weak Galerkin methods for second order elliptic interface problems

Journal of Computational Physics ◽

10.1016/j.jcp.2013.04.042 ◽

2013 ◽

Vol 250 ◽

pp. 106-125 ◽

Cited By ~ 77

Author(s):

Lin Mu ◽

Junping Wang ◽

Guowei Wei ◽

Xiu Ye ◽

Shan Zhao

Keyword(s):

Second Order ◽

Interface Problems ◽

Galerkin Methods ◽

Weak Galerkin ◽

Elliptic Interface Problems

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Direct meshless local Petrov–Galerkin method for elliptic interface problems with applications in electrostatic and elastostatic

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2014.05.016 ◽

2014 ◽

Vol 278 ◽

pp. 479-498 ◽

Cited By ~ 57

Author(s):

Ameneh Taleei ◽

Mehdi Dehghan

Keyword(s):

Galerkin Method ◽

Interface Problems ◽

Elliptic Interface Problems

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A priori and a posterior error estimate of new weak Galerkin finite element methods for second order elliptic interface problems on polygonal meshes

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2018.09.007 ◽

2019 ◽

Vol 362 ◽

pp. 423-442

Author(s):

Lin Mu

Keyword(s):

Finite Element ◽

Error Estimate ◽

Finite Element Methods ◽

A Priori ◽

Interface Problems ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Elliptic Interface Problems ◽

Galerkin Finite Element Methods ◽

A Posterior Error

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Application of direct meshless local Petrov–Galerkin method for numerical solution of stochastic elliptic interface problems

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22742 ◽

2021 ◽

Author(s):

Mostafa Abbaszadeh ◽

Mehdi Dehghan ◽

Amirreza Khodadadian ◽

Clemens Heitzinger

Keyword(s):

Galerkin Method ◽

Numerical Solution ◽

Interface Problems ◽

Elliptic Interface Problems

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MIB Galerkin method for elliptic interface problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2014.05.014 ◽

2014 ◽

Vol 272 ◽

pp. 195-220 ◽

Cited By ~ 19

Author(s):

Kelin Xia ◽

Meng Zhan ◽

Guo-Wei Wei

Keyword(s):

Galerkin Method ◽

Interface Problems ◽

Elliptic Interface Problems

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A Weak Galerkin Method with an Over-Relaxed Stabilization for Low Regularity Elliptic Problems

Journal of Scientific Computing ◽

10.1007/s10915-016-0296-4 ◽

2016 ◽

Vol 71 (1) ◽

pp. 195-218 ◽

Cited By ~ 1

Author(s):

Lunji Song ◽

Kaifang Liu ◽

Shan Zhao

Keyword(s):

Galerkin Method ◽

Elliptic Problems ◽

Weak Galerkin ◽

Low Regularity

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