Additive Schwarz-type preconditioners for fourth-order elliptic problems using Hermite cubic splines

Song-Tao Liu

doi:10.1002/num.20089

Additive Schwarz-type preconditioners for fourth-order elliptic problems using Hermite cubic splines

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20089 ◽

2005 ◽

Vol 22 (1) ◽

pp. 69-78 ◽

Cited By ~ 3

Author(s):

Song-Tao Liu

Keyword(s):

Fourth Order ◽

Elliptic Problems ◽

Cubic Splines ◽

Additive Schwarz ◽

Hermite Cubic Splines

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Additive Schwarz-type preconditioner for hermite cubic splines

Applied Mathematics Letters ◽

10.1016/j.aml.2003.12.006 ◽

2004 ◽

Vol 17 (11) ◽

pp. 1267-1275 ◽

Cited By ~ 2

Author(s):

Song-Tao Liu

Keyword(s):

Cubic Splines ◽

Additive Schwarz ◽

Hermite Cubic Splines

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Continuous/discontinuous finite element approximations of fourth-order elliptic problems in structural and continuum mechanics with applications to thin beams and plates, and strain gradient elasticity

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(02)00286-4 ◽

2002 ◽

Vol 191 (34) ◽

pp. 3669-3750 ◽

Cited By ~ 257

Author(s):

G. Engel ◽

K. Garikipati ◽

T.J.R. Hughes ◽

M.G. Larson ◽

L. Mazzei ◽

...

Keyword(s):

Finite Element ◽

Continuum Mechanics ◽

Fourth Order ◽

Strain Gradient ◽

Elliptic Problems ◽

Gradient Elasticity ◽

Strain Gradient Elasticity ◽

Finite Element Approximations ◽

Discontinuous Finite Element ◽

Thin Beams

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Additive Schwarz Method for DG Discretization of Anisotropic Elliptic Problems

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

10.1007/978-3-319-05789-7_38 ◽

2014 ◽

pp. 407-415 ◽

Cited By ~ 3

Author(s):

Maksymilian Dryja ◽

Piotr Krzyżanowski ◽

Marcus Sarkis

Keyword(s):

Elliptic Problems ◽

Schwarz Method ◽

Additive Schwarz ◽

Additive Schwarz Method

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Wavelet bases of Hermite cubic splines on the interval

Advances in Computational Mathematics ◽

10.1007/s10444-003-7609-5 ◽

2006 ◽

Vol 25 (1-3) ◽

pp. 23-39 ◽

Cited By ~ 36

Author(s):

Rong-Qing Jia ◽

Song-Tao Liu

Keyword(s):

Cubic Splines ◽

Wavelet Bases ◽

Hermite Cubic Splines

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Additive Schwarz Methods for DG Discretization of Elliptic Problems with Discontinuous Coefficient

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

10.1007/978-3-319-18827-0_15 ◽

2016 ◽

pp. 167-175 ◽

Cited By ~ 1

Author(s):

Maksymilian Dryja ◽

Piotr Krzyżanowski

Keyword(s):

Elliptic Problems ◽

Discontinuous Coefficient ◽

Schwarz Methods ◽

Additive Schwarz ◽

Additive Schwarz Methods

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Additive Schwarz preconditioner for the finite volume element discretization of symmetric elliptic problems

BIT Numerical Mathematics ◽

10.1007/s10543-015-0581-x ◽

2015 ◽

Vol 56 (3) ◽

pp. 967-993 ◽

Cited By ~ 3

Author(s):

L. Marcinkowski ◽

T. Rahman ◽

A. Loneland ◽

J. Valdman

Keyword(s):

Finite Volume ◽

Elliptic Problems ◽

Volume Element ◽

Element Discretization ◽

Additive Schwarz ◽

Finite Volume Element ◽

Schwarz Preconditioner

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A Uniform Additive Schwarz Preconditioner for High-Order Discontinuous Galerkin Approximations of Elliptic Problems

Journal of Scientific Computing ◽

10.1007/s10915-016-0259-9 ◽

2016 ◽

Vol 70 (2) ◽

pp. 608-630 ◽

Cited By ~ 9

Author(s):

Paola F. Antonietti ◽

Marco Sarti ◽

Marco Verani ◽

Ludmil T. Zikatanov

Keyword(s):

Discontinuous Galerkin ◽

Elliptic Problems ◽

High Order ◽

Additive Schwarz ◽

Galerkin Approximations ◽

Schwarz Preconditioner

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Comparison principles for some fourth order elliptic problems

Ordinary and Partial Differential Equations - Lecture Notes in Mathematics ◽

10.1007/bfb0065004 ◽

1982 ◽

pp. 272-279 ◽

Cited By ~ 3

Author(s):

Vinod B Goyal ◽

Philip W Schaefer

Keyword(s):

Fourth Order ◽

Elliptic Problems ◽

Comparison Principles

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AC0-weak Galerkin finite element method for fourth-order elliptic problems

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22050 ◽

2016 ◽

Vol 32 (3) ◽

pp. 1090-1104 ◽

Cited By ~ 2

Author(s):

Gang Chen ◽

Minfu Feng

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Fourth Order ◽

Elliptic Problems ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Element Method

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Two-Level Additive Schwarz Methods for a Discontinuous Galerkin Approximation of Second Order Elliptic Problems

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142900378480 ◽

2001 ◽

Vol 39 (4) ◽

pp. 1343-1365 ◽

Cited By ~ 67

Author(s):

Xiaobing Feng ◽

Ohannes A. Karakashian

Keyword(s):

Discontinuous Galerkin ◽

Galerkin Approximation ◽

Elliptic Problems ◽

Second Order ◽

Schwarz Methods ◽

Additive Schwarz ◽

Second Order Elliptic Problems ◽

Additive Schwarz Methods

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