Weighted error estimates of the continuous interior penalty method for singularly perturbed problems

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drn001 ◽

2008 ◽

Vol 29 (2) ◽

pp. 284-314 ◽

Author(s):

E. Burman ◽

J. Guzman ◽

D. Leykekhman

Keyword(s):

Error Estimates ◽

Penalty Method ◽

Singularly Perturbed ◽

Singularly Perturbed Problems ◽

Interior Penalty ◽

Interior Penalty Method ◽

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Supercloseness of the continuous interior penalty method for singularly perturbed problems in 1D: Vertex-cell interpolation

Applied Numerical Mathematics ◽

10.1016/j.apnum.2017.09.003 ◽

2018 ◽

Vol 123 ◽

pp. 88-98 ◽

Author(s):

Jin Zhang ◽

Xiaowei Liu

Keyword(s):

Penalty Method ◽

Singularly Perturbed ◽

Singularly Perturbed Problems ◽

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 ◽

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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A Priori and a Posteriori Error Estimates of a Weakly Over-Penalized Interior Penalty Method for Non-Self-Adjoint and Indefinite Problems

Journal of Computational Mathematics ◽

10.4208/jcm.1403-cr5 ◽

2014 ◽

Vol 32 (3) ◽

pp. 332-347 ◽

Author(s):

Yuping Zeng

Keyword(s):

Error Estimates ◽

Penalty Method ◽

A Priori ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

Interior Penalty ◽

A Posteriori Error ◽

Interior Penalty Method ◽

Indefinite Problems

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Error estimates of the weakly over-penalized symmetric interior penalty method for two variational inequalities

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2015.02.022 ◽

2015 ◽

Vol 69 (8) ◽

pp. 760-770 ◽

Author(s):

Yuping Zeng ◽

Jinru Chen ◽

Feng Wang

Keyword(s):

Variational Inequalities ◽

Error Estimates ◽

Penalty Method ◽

Interior Penalty ◽

Interior Penalty Method ◽

Symmetric 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 ◽

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 ◽

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 ◽

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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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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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 ◽

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 ◽

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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