Investigation of Block Krylov Subspace Methods with Dummy Right-Hand Sides for Solving Linear Systems Obtained By Extended Element-Free Galerkin Method

International Conference on Computational & Experimental Engineering and Sciences ◽

10.32604/icces.2019.05521 ◽

2019 ◽

Vol 21 (2) ◽

pp. 44-44

Author(s):

Taku Itoh ◽

Soichiro Ikuno

Keyword(s):

Galerkin Method ◽

Linear Systems ◽

Krylov Subspace ◽

Krylov Subspace Methods ◽

Subspace Methods ◽

Element Free Galerkin Method ◽

Element Free Galerkin ◽

Block Krylov Subspace Methods ◽

Element Free ◽

Extended Element

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Numerical Investigation of Preconditioning for Iterative Methods in Linear Systems Obtained by Extended Element-Free Galerkin Method

Journal of Advanced Simulation in Science and Engineering ◽

10.15748/jasse.3.188 ◽

2016 ◽

Vol 3 (2) ◽

pp. 188-205 ◽

Author(s):

Taku Itoh ◽

Ayumu Saitoh ◽

Soichiro Ikuno ◽

Atsushi Kamitani

Keyword(s):

Galerkin Method ◽

Numerical Investigation ◽

Linear Systems ◽

Iterative Methods ◽

Element Free Galerkin Method ◽

Element Free Galerkin ◽

Element Free ◽

Extended Element

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GPU acceleration of variable preconditioned Krylov subspace method for linear system obtained by eXtended element-free Galerkin method

2017 IEEE International Conference on Computational Electromagnetics (ICCEM) ◽

10.1109/compem.2017.7912804 ◽

2017 ◽

Author(s):

Soichiro Ikuno ◽

Taku Itoh

Keyword(s):

Linear System ◽

Galerkin Method ◽

Krylov Subspace ◽

Gpu Acceleration ◽

Subspace Method ◽

Element Free Galerkin Method ◽

Element Free Galerkin ◽

Element Free ◽

Preconditioned Krylov Subspace Method ◽

Extended Element

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New Implementation Method for Essential Boundary Condition to Extended Element-Free Galerkin Method: Application to Nonlinear Problem

Plasma and Fusion Research ◽

10.1585/pfr.6.2401089 ◽

2011 ◽

Vol 6 ◽

pp. 2401089-2401089

Author(s):

Ayumu SAITOH ◽

Taku ITOH ◽

Nobuyuki MATSUI ◽

Atsushi KAMITANI ◽

Hiroaki NAKAMURA

Keyword(s):

Boundary Condition ◽

Galerkin Method ◽

Nonlinear Problem ◽

Element Free Galerkin Method ◽

Essential Boundary Condition ◽

Element Free Galerkin ◽

Implementation Method ◽

Element Free ◽

Extended Element

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Application of Extended Element-Free Galerkin Method to Nonlinear Problem

IEEE Transactions on Magnetics ◽

10.1109/tmag.2011.2175904 ◽

2012 ◽

Vol 48 (2) ◽

pp. 487-490 ◽

Author(s):

Ayumu Saitoh ◽

Taku Itoh ◽

Nobuyuki Matsui ◽

Atsushi Kamitani

Keyword(s):

Galerkin Method ◽

Nonlinear Problem ◽

Element Free Galerkin Method ◽

Element Free Galerkin ◽

Element Free ◽

Extended Element

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A comparison of stress intensity factors obtained through crack closure integral and other approaches using eXtended element-free Galerkin method

Computational Mechanics ◽

10.1007/s00466-013-0834-y ◽

2013 ◽

Vol 52 (3) ◽

pp. 587-605 ◽

Author(s):

N. Muthu ◽

S. K. Maiti ◽

B. G. Falzon ◽

I. Guiamatsia

Keyword(s):

Stress Intensity ◽

Galerkin Method ◽

Crack Closure ◽

Stress Intensity Factors ◽

Intensity Factors ◽

Element Free Galerkin Method ◽

Element Free Galerkin ◽

Element Free ◽

Extended Element

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Crack analysis of functionally graded materials under thermal loading using extended element free Galerkin method

Materials Today Proceedings ◽

10.1016/j.matpr.2021.02.768 ◽

2021 ◽

Author(s):

Wafaa Farouq ◽

Haider Khazal ◽

Abdul Kareem F. Hassan

Keyword(s):

Galerkin Method ◽

Functionally Graded Materials ◽

Thermal Loading ◽

Functionally Graded ◽

Element Free Galerkin Method ◽

Graded Materials ◽

Crack Analysis ◽

Element Free Galerkin ◽

Element Free ◽

Extended Element

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Convergence properties of some block Krylov subspace methods for multiple linear systems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2005.09.017 ◽

2006 ◽

Vol 196 (2) ◽

pp. 498-511 ◽

Author(s):

R. Bouyouli ◽

K. Jbilou ◽

R. Sadaka ◽

H. Sadok

Keyword(s):

Linear Systems ◽

Krylov Subspace ◽

Krylov Subspace Methods ◽

Subspace Methods ◽

Convergence Properties ◽

Block Krylov Subspace Methods ◽

Multiple Linear Systems

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An extended element-free Galerkin method for thermo-mechanical dynamic fracture in linear and nonlinear materials

Computational Materials Science ◽

10.1016/j.commatsci.2014.10.050 ◽

2015 ◽

Vol 98 ◽

pp. 366-371 ◽

Author(s):

H.S. Wang

Keyword(s):

Galerkin Method ◽

Dynamic Fracture ◽

Element Free Galerkin Method ◽

Nonlinear Materials ◽

Element Free Galerkin ◽

Linear And Nonlinear ◽

Element Free ◽

Extended Element

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Electrostatic Simulation in Dielectric Composite Material by Extended Element-Free Galerkin Method

Communications in Computer and Information Science - AsiaSim 2013 ◽

10.1007/978-3-642-45037-2_59 ◽

2013 ◽

pp. 551-560

Author(s):

Taku Itoh ◽

Ayumu Saitoh ◽

Soichiro Ikuno ◽

Atsushi Kamitani

Keyword(s):

Composite Material ◽

Galerkin Method ◽

Element Free Galerkin Method ◽

Element Free Galerkin ◽

Dielectric Composite ◽

Element Free ◽

Extended Element

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An extended element free Galerkin method for fracture analysis of functionally graded materials

Mechanics of Advanced Materials and Structures ◽

10.1080/15376494.2014.984093 ◽

2015 ◽

Vol 23 (5) ◽

pp. 513-528 ◽

Author(s):

Haider Khazal ◽

Hamid Bayesteh ◽

Soheil Mohammadi ◽

Sayyed Shahram Ghorashi ◽

Ameen Ahmed

Keyword(s):

Galerkin Method ◽

Functionally Graded Materials ◽

Fracture Analysis ◽

Functionally Graded ◽

Element Free Galerkin Method ◽

Graded Materials ◽

Element Free Galerkin ◽

Element Free ◽

Extended Element

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