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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On the stability and convergence of higher-order mixed finite element methods for second-order elliptic problems

Mathematics of Computation ◽

10.1090/s0025-5718-1990-0990603-x ◽

1990 ◽

Vol 54 (189) ◽

pp. 1-1 ◽

Author(s):

Manil Suri

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Elliptic Problems ◽

Higher Order ◽

Second Order ◽

Mixed Finite Element Methods ◽

Stability And Convergence ◽

The Stability ◽

Second Order Elliptic Problems

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Error analysis in $L^p \leqslant p \leqslant \infty $, for mixed finite element methods for linear and quasi-linear elliptic problems

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/1988220303711 ◽

1988 ◽

Vol 22 (3) ◽

pp. 371-387 ◽

Author(s):

Ricardo G. Durán

Keyword(s):

Finite Element ◽

Error Analysis ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Elliptic Problems ◽

Mixed Finite Element Methods

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A Family of Multipoint Flux Mixed Finite Element Methods for Elliptic Problems on General Grids

Procedia Computer Science ◽

10.1016/j.procs.2011.04.097 ◽

2011 ◽

Vol 4 ◽

pp. 918-927 ◽

Author(s):

Mary F. Wheeler ◽

Guangri Xue ◽

Ivan Yotov

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Elliptic Problems ◽

Mixed Finite Element Methods

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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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Expanded mixed finite element methods for linear second-order elliptic problems, I

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/1998320404791 ◽

1998 ◽

Vol 32 (4) ◽

pp. 479-499 ◽

Author(s):

Zhangxin Chen

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Elliptic Problems ◽

Second Order ◽

Mixed Finite Element Methods ◽

Expanded Mixed Finite Element ◽

Second Order Elliptic Problems

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SOME SUPERCONVERGENCE RESULTS FOR MIXED FINITE ELEMENT METHODS FOR ELLIPTIC PROBLEMS ON RECTANGULAR DOMAINS

The Mathematics of Finite Elements and Applications ◽

10.1016/b978-0-12-747255-3.50032-0 ◽

1985 ◽

pp. 367-389 ◽

Author(s):

Mie Nakata ◽

Alan Weiser ◽

Mary Fanett Wheeler

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Elliptic Problems ◽

Mixed Finite Element Methods ◽

Superconvergence Results

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Least-Squares Mixed Finite Element Methods for Non-Selfadjoint Elliptic Problems: II. Performance of Block-ILU Factorization Methods

SIAM Journal on Scientific Computing ◽

10.1137/0916065 ◽

1995 ◽

Vol 16 (5) ◽

pp. 1126-1136 ◽

Author(s):

G. F. Carey ◽

A. I. Pehlivanov ◽

P. S. Vassilevski

Keyword(s):

Finite Element ◽

Least Squares ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Elliptic Problems ◽

Mixed Finite Element Methods ◽

Factorization Methods ◽

Ilu Factorization

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Multigrid on the interface for mortar mixed finite element methods for elliptic problems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(99)00232-7 ◽

2000 ◽

Vol 184 (2-4) ◽

pp. 287-302 ◽

Author(s):

Mary F. Wheeler ◽

Ivan Yotov

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Elliptic Problems ◽

Mixed Finite Element Methods

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Mixed finite element methods for nonlinear elliptic problems: Thep-version

Numerical Methods for Partial Differential Equations ◽

10.1002/(sici)1098-2426(199611)12:6<729::aid-num6>3.0.co;2-u ◽

1996 ◽

Vol 12 (6) ◽

pp. 729-741 ◽

Author(s):

Miyoung Lee ◽

Fabio A. Milner

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Elliptic Problems ◽

Mixed Finite Element Methods ◽

Nonlinear Elliptic Problems ◽

Nonlinear Elliptic

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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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