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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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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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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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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Uniformly Convergent Interior Penalty Methods Using Multilinear Approximations for Problems in Elasticity

SIAM Journal on Numerical Analysis ◽

10.1137/140966253 ◽

2015 ◽

Vol 53 (5) ◽

pp. 2255-2278 ◽

Author(s):

B. J. Grieshaber ◽

A. T. McBride ◽

B. D. Reddy

Keyword(s):

Penalty Methods ◽

Interior Penalty ◽

Uniformly Convergent ◽

Interior Penalty Methods

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Stabilized Interior Penalty Methods for the Time-Harmonic Maxwell Equations

10.21236/ada437465 ◽

2001 ◽

Author(s):

I. Perugia ◽

D. Schoetzau ◽

P. Monk

Keyword(s):

Maxwell Equations ◽

Penalty Methods ◽

Interior Penalty ◽

Time Harmonic ◽

Interior Penalty Methods

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Condition Number Estimates for C0 Interior Penalty Methods

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

10.1007/978-3-540-34469-8_84 ◽

2007 ◽

pp. 675-682 ◽

Author(s):

Shuang Li ◽

Kening Wang

Keyword(s):

Condition Number ◽

Penalty Methods ◽

Interior Penalty ◽

Interior Penalty Methods

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Analysis of SDFEM on Shishkin Triangular Meshes and Hybrid Meshes for Problems with Characteristic Layers

Journal of Scientific Computing ◽

10.1007/s10915-016-0180-2 ◽

2016 ◽

Vol 68 (3) ◽

pp. 1299-1316 ◽

Author(s):

Jin Zhang ◽

Xiaowei Liu

Keyword(s):

Triangular Meshes ◽

Hybrid Meshes ◽

Characteristic Layers

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