A comparative study on the weak Galerkin, discontinuous Galerkin, and mixed finite element methods

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2014.06.024 ◽

2015 ◽

Vol 273 ◽

pp. 346-362 ◽

Author(s):

Guang Lin ◽

Jiangguo Liu ◽

Farrah Sadre-Marandi

Keyword(s):

Finite Element ◽

Comparative Study ◽

Discontinuous Galerkin ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

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Hybridizable discontinuous Galerkin and mixed finite element methods for elliptic problems on surfaces

Mathematics of Computation ◽

10.1090/mcom/3093 ◽

2016 ◽

Vol 85 (302) ◽

pp. 2609-2638 ◽

Author(s):

Bernardo Cockburn ◽

Alan Demlow

Keyword(s):

Finite Element ◽

Discontinuous Galerkin ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Elliptic Problems ◽

Mixed Finite Element Methods ◽

Hybridizable Discontinuous Galerkin

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Weak Galerkin mixed finite element methods for parabolic equations with memory

Discrete & Continuous Dynamical Systems - S ◽

10.3934/dcdss.2019034 ◽

2019 ◽

Vol 12 (3) ◽

pp. 513-531 ◽

Author(s):

Xiaomeng Li ◽

◽

Qiang Xu ◽

Ailing Zhu

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Parabolic Equations ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Weak Galerkin ◽

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Mortar Coupling of Discontinuous Galerkin and Mixed Finite Element Methods

11th European Conference on the Mathematics of Oil Recovery ◽

10.3997/2214-4609.20146370 ◽

2008 ◽

Author(s):

G.V. Pencheva ◽

S.G. Thomas ◽

M.F. Wheeler

Keyword(s):

Finite Element ◽

Discontinuous Galerkin ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Mortar Coupling

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A coupling of weak Galerkin and mixed finite element methods for poroelasticity

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2017.01.007 ◽

2017 ◽

Vol 73 (5) ◽

pp. 804-823 ◽

Author(s):

Ming Sun ◽

Hongxing Rui

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

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Mixed Finite Element Methods with Applications to Flow and Other Problems.

10.21236/ada127751 ◽

1983 ◽

Author(s):

Max D. Gunzburger

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Mixed Finite Element Methods

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Mixed finite element methods for geometric modeling using general fourth order geometric flows

Computer Aided Geometric Design ◽

10.1016/j.cagd.2008.12.004 ◽

2009 ◽

Vol 26 (4) ◽

pp. 378-395 ◽

Author(s):

Guoliang Xu

Keyword(s):

Finite Element ◽

Fourth Order ◽

Finite Element Methods ◽

Geometric Modeling ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Geometric Flows

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Analysis of Fully Discrete Mixed Finite Element Methods for Time-dependent Stochastic Stokes Equations with Multiplicative Noise

Journal of Scientific Computing ◽

10.1007/s10915-021-01546-4 ◽

2021 ◽

Vol 88 (2) ◽

Author(s):

Xiaobing Feng ◽

Hailong Qiu

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Multiplicative Noise ◽

Stokes Equations ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Time Dependent ◽

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Optimal Error Estimates of Two Mixed Finite Element Methods for Parabolic Integro-Differential Equations with Nonsmooth Initial Data

Journal of Scientific Computing ◽

10.1007/s10915-012-9666-8 ◽

2013 ◽

Vol 56 (1) ◽

pp. 131-164 ◽

Author(s):

Deepjyoti Goswami ◽

Amiya K. Pani ◽

Sangita Yadav

Keyword(s):

Finite Element ◽

Initial Data ◽

Differential Equations ◽

Error Estimates ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Optimal Error Estimates ◽

Optimal Error ◽

Nonsmooth Initial Data

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Richardson extrapolation and defect correction of mixed finite element methods for integro-differential equations in porous media

Applications of Mathematics ◽

10.1007/s10492-008-0011-3 ◽

2008 ◽

Vol 53 (1) ◽

pp. 13-39 ◽

Author(s):

Shanghui Jia ◽

Deli Li ◽

Tang Liu ◽

Shuhua Zhang

Keyword(s):

Finite Element ◽

Porous Media ◽

Differential Equations ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Richardson Extrapolation ◽

Mixed Finite Element Methods ◽

Defect Correction

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Mixed finite element methods for compressible miscible displacement in porous media

Mathematics of Computation ◽

10.1090/s0025-5718-1991-1094942-7 ◽

1991 ◽

Vol 57 (196) ◽

pp. 507-507 ◽

Author(s):

So-Hsiang Chou ◽

Qian Li

Keyword(s):

Finite Element ◽

Porous Media ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Miscible Displacement ◽

Mixed Finite Element Methods ◽

Compressible Miscible Displacement

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