A C
                        0
 interior penalty method for a fourth-order variational inequality of the second kind

Thirupathi Gudi; Kamana Porwal

doi:10.1002/num.21983

A C 0 interior penalty method for a fourth-order variational inequality of the second kind

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21983 ◽

2015 ◽

Vol 32 (1) ◽

pp. 36-59 ◽

Cited By ~ 8

Author(s):

Thirupathi Gudi ◽

Kamana Porwal

Keyword(s):

Variational Inequality ◽

Fourth Order ◽

Penalty Method ◽

Interior Penalty ◽

Interior Penalty Method

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A C0 interior penalty method for a singularly-perturbed fourth-order elliptic problem on a layer-adapted mesh

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21839 ◽

2013 ◽

Vol 30 (3) ◽

pp. 838-861 ◽

Cited By ~ 9

Author(s):

Sebastian Franz ◽

Hans-Görg Roos ◽

Andreas Wachtel

Keyword(s):

Fourth Order ◽

Elliptic Problem ◽

Penalty Method ◽

Singularly Perturbed ◽

Interior Penalty ◽

Order Elliptic Problem ◽

Interior Penalty Method

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Analysis of an Interior Penalty Method for Fourth Order Problems on Polygonal Domains

Journal of Scientific Computing ◽

10.1007/s10915-012-9612-9 ◽

2012 ◽

Vol 54 (1) ◽

pp. 177-199 ◽

Cited By ~ 9

Author(s):

Thirupathi Gudi ◽

Hari Shanker Gupta ◽

Neela Nataraj

Keyword(s):

Fourth Order ◽

Penalty Method ◽

Interior Penalty ◽

Polygonal Domains ◽

Interior Penalty Method ◽

Fourth Order Problems

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A $\mathcal{C}^0$ Interior Penalty Method for a Fourth Order Elliptic Singular Perturbation Problem

SIAM Journal on Numerical Analysis ◽

10.1137/100786988 ◽

2011 ◽

Vol 49 (2) ◽

pp. 869-892 ◽

Cited By ~ 25

Author(s):

Susanne C. Brenner ◽

Michael Neilan

Keyword(s):

Singular Perturbation ◽

Fourth Order ◽

Penalty Method ◽

Singular Perturbation Problem ◽

Interior Penalty ◽

Perturbation Problem ◽

Interior Penalty Method

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A Quadratic $C^0$ Interior Penalty Method for Linear Fourth Order Boundary Value Problems with Boundary Conditions of the Cahn--Hilliard Type

SIAM Journal on Numerical Analysis ◽

10.1137/110847469 ◽

2012 ◽

Vol 50 (4) ◽

pp. 2088-2110 ◽

Cited By ~ 16

Author(s):

Susanne C. Brenner ◽

Shiyuan Gu ◽

Thirupathi Gudi ◽

Li-yeng Sung

Keyword(s):

Boundary Conditions ◽

Boundary Value Problems ◽

Fourth Order ◽

Penalty Method ◽

Boundary Value ◽

Interior Penalty ◽

Interior Penalty Method

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A constructive interior penalty method for optimal control problems with state and input constraints

2012 American Control Conference (ACC) ◽

10.1109/acc.2012.6315158 ◽

2012 ◽

Cited By ~ 5

Author(s):

P. Malisani ◽

F. Chaplais ◽

N. Petit

Keyword(s):

Optimal Control ◽

Penalty Method ◽

Optimal Control Problems ◽

Control Problems ◽

Input Constraints ◽

Interior Penalty ◽

Interior Penalty Method

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An explicit expression for the penalty parameter of the interior penalty method

Journal of Computational Physics ◽

10.1016/j.jcp.2004.11.017 ◽

2005 ◽

Vol 205 (2) ◽

pp. 401-407 ◽

Cited By ~ 120

Author(s):

Khosro Shahbazi

Keyword(s):

Explicit Expression ◽

Penalty Method ◽

Penalty Parameter ◽

Interior Penalty ◽

Interior Penalty Method

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Complex dispersion relation calculations with the symmetric interior penalty method

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.2926 ◽

2010 ◽

Vol 84 (7) ◽

pp. 849-863 ◽

Cited By ~ 11

Author(s):

C. Engström ◽

M. Wang

Keyword(s):

Dispersion Relation ◽

Penalty Method ◽

Interior Penalty ◽

Interior Penalty Method ◽

Symmetric Interior Penalty Method ◽

Complex Dispersion

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A W-cycle algorithm for a weakly over-penalized interior penalty method

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2007.02.011 ◽

2007 ◽

Vol 196 (37-40) ◽

pp. 3823-3832 ◽

Cited By ~ 11

Author(s):

Susanne C. Brenner ◽

Luke Owens

Keyword(s):

Penalty Method ◽

Interior Penalty ◽

Interior Penalty Method

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Continuous interior penalty method on a Shishkin mesh for convection–diffusion problems with characteristic boundary layers

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2008.02.019 ◽

2008 ◽

Vol 197 (45-48) ◽

pp. 3679-3686 ◽

Cited By ~ 11

Author(s):

S. Franz

Keyword(s):

Boundary Layers ◽

Penalty Method ◽

Shishkin Mesh ◽

Interior Penalty ◽

Convection Diffusion ◽

Characteristic Boundary ◽

Interior Penalty Method ◽

Diffusion Problems

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Two-Level Additive Schwarz Preconditioners for a Weakly Over-Penalized Symmetric Interior Penalty Method

Journal of Scientific Computing ◽

10.1007/s10915-010-9419-5 ◽

2010 ◽

Vol 47 (1) ◽

pp. 27-49 ◽

Cited By ~ 14

Author(s):

A. T. Barker ◽

S. C. Brenner ◽

E.-H. Park ◽

L.-Y. Sung

Keyword(s):

Penalty Method ◽

Interior Penalty ◽

Additive Schwarz ◽

Interior Penalty Method ◽

Schwarz Preconditioners ◽

Symmetric Interior Penalty Method ◽

Additive Schwarz Preconditioners

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