Quasi-Optimal Nonconforming Methods for Symmetric Elliptic Problems. III---Discontinuous Galerkin and Other Interior Penalty Methods

SIAM Journal on Numerical Analysis ◽

10.1137/17m1151675 ◽

2018 ◽

Vol 56 (5) ◽

pp. 2871-2894 ◽

Author(s):

Andreas Veeser ◽

Pietro Zanotti

Keyword(s):

Discontinuous Galerkin ◽

Elliptic Problems ◽

Penalty Methods ◽

Interior Penalty ◽

Interior Penalty Methods ◽

Nonconforming Methods

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Divergence-Conforming Discontinuous Galerkin Methods and $C^0$ Interior Penalty Methods

SIAM Journal on Numerical Analysis ◽

10.1137/120902975 ◽

2014 ◽

Vol 52 (4) ◽

pp. 1822-1842 ◽

Author(s):

Guido Kanschat ◽

Natasha Sharma

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Penalty Methods ◽

Galerkin Methods ◽

Interior Penalty ◽

Interior Penalty Methods

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Stabilized interior penalty methods for the time-harmonic Maxwell equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(02)00399-7 ◽

2002 ◽

Vol 191 (41-42) ◽

pp. 4675-4697 ◽

Author(s):

I. Perugia ◽

D. Schötzau ◽

P. Monk

Keyword(s):

Maxwell Equations ◽

Penalty Methods ◽

Interior Penalty ◽

Time Harmonic ◽

Interior Penalty Methods

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Supercloseness of Continuous Interior Penalty Methods on Shishkin Triangular Meshes and Hybrid Meshes for Singularly Perturbed Problems with Characteristic Layers

Journal of Scientific Computing ◽

10.1007/s10915-018-0677-y ◽

2018 ◽

Vol 76 (3) ◽

pp. 1633-1656 ◽

Author(s):

Jin Zhang ◽

Xiaowei Liu

Keyword(s):

Singularly Perturbed ◽

Penalty Methods ◽

Triangular Meshes ◽

Singularly Perturbed Problems ◽

Interior Penalty ◽

Hybrid Meshes ◽

Interior Penalty Methods ◽

Characteristic Layers

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C 0 Interior Penalty Methods

Lecture Notes in Computational Science and Engineering - Frontiers in Numerical Analysis - Durham 2010 ◽

10.1007/978-3-642-23914-4_2 ◽

2011 ◽

pp. 79-147 ◽

Author(s):

Susanne C. Brenner

Keyword(s):

Penalty Methods ◽

Interior Penalty ◽

Interior Penalty Methods

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A Note on Error Estimates for some Interior Penalty Methods

Lecture Notes in Economics and Mathematical Systems - Recent Advances in Optimization ◽

10.1007/3-540-28258-0_9 ◽

2006 ◽

pp. 133-145 ◽

Author(s):

Alexey F. Izmailov ◽

Mikhail V. Solodov

Keyword(s):

Error Estimates ◽

Penalty Methods ◽

Interior Penalty ◽

Interior Penalty Methods

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Convergence of Multigrid Algorithms for Interior Penalty Methods

Applied Numerical Analysis & Computational Mathematics ◽

10.1002/anac.200410019 ◽

2005 ◽

Vol 2 (1) ◽

pp. 3-18 ◽

Author(s):

Susanne C. Brenner ◽

Jie Zhao

Keyword(s):

Penalty Methods ◽

Interior Penalty ◽

Interior Penalty Methods

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Symmetric Interior Penalty Discontinuous Galerkin Methods for Elliptic Problems in Polygons

SIAM Journal on Numerical Analysis ◽

10.1137/17m1120634 ◽

2017 ◽

Vol 55 (5) ◽

pp. 2490-2521 ◽

Author(s):

Fabian Müller ◽

Dominik Schötzau ◽

Christoph Schwab

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Elliptic Problems ◽

Galerkin Methods ◽

Interior Penalty

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Preconditioning of Symmetric Interior Penalty Discontinuous Galerkin FEM for Elliptic Problems

Lecture Notes in Computational Science and Engineering - Domain Decomposition Methods in Science and Engineering XVII ◽

10.1007/978-3-540-75199-1_3 ◽

2008 ◽

pp. 33-44 ◽

Author(s):

Veselin A. Dobrev ◽

Raytcho D. Lazarov ◽

Ludmil T. Zikatanov

Keyword(s):

Discontinuous Galerkin ◽

Elliptic Problems ◽

Interior Penalty ◽

Discontinuous Galerkin Fem

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A Two-Level Additive Schwarz Preconditioner for C 0 Interior Penalty Methods for Cahn-Hilliard Equations

Lecture Notes in Computational Science and Engineering - Domain Decomposition Methods in Science and Engineering XX ◽

10.1007/978-3-642-35275-1_14 ◽

2013 ◽

pp. 135-142

Author(s):

Kening Wang

Keyword(s):

Penalty Methods ◽

Interior Penalty ◽

Additive Schwarz ◽

Interior Penalty Methods ◽

Schwarz Preconditioner

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Multigrid Algorithms for C0 Interior Penalty Methods

SIAM Journal on Numerical Analysis ◽

10.1137/040611835 ◽

2006 ◽

Vol 44 (1) ◽

pp. 199-223 ◽

Author(s):

Susanne C. Brenner ◽

Li-yeng Sung

Keyword(s):

Penalty Methods ◽

Interior Penalty ◽

Interior Penalty Methods

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