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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Fracture analysis of functionally graded material using digital image correlation technique and extended element-free Galerkin method

Optics and Lasers in Engineering ◽

10.1016/j.optlaseng.2019.04.021 ◽

2019 ◽

Vol 121 ◽

pp. 307-322 ◽

Author(s):

Wafaa Farouq ◽

Haider Khazal ◽

Abdul Kareem F. Hassan

Keyword(s):

Fracture Analysis ◽

Functionally Graded ◽

Image Correlation ◽

Correlation Technique ◽

Element Free Galerkin Method ◽

Digital Image Correlation Technique ◽

Element Free Galerkin ◽

Graded Material ◽

Element Free ◽

Extended Element

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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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Effect of plastic deformation on hydraulic fracturing with extended element method

Acta Geotechnica ◽

10.1007/s11440-018-0748-0 ◽

2018 ◽

Vol 14 (6) ◽

pp. 2083-2101 ◽

Author(s):

Qingdong Zeng ◽

Jun Yao ◽

Jianfu Shao

Keyword(s):

Plastic Deformation ◽

Hydraulic Fracturing ◽

Extended Element ◽

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Numerical solution of multi-dimensional transient nonlinear heat conduction problems with heat sources by an extended element differential method

International Journal of Heat and Mass Transfer ◽

10.1016/j.ijheatmasstransfer.2018.05.100 ◽

2018 ◽

Vol 126 ◽

pp. 1111-1119 ◽

Author(s):

Miao Cui ◽

Bing-Bing Xu ◽

Jun Lv ◽

Xiao-Wei Gao ◽

Yuwen Zhang

Keyword(s):

Heat Conduction ◽

Numerical Solution ◽

Differential Method ◽

Heat Sources ◽

Nonlinear Heat Conduction ◽

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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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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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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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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Functionally Complete Elemental Basis of Mathematical Schemes of Electrical Circuits

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.448-453.2120 ◽

2013 ◽

Vol 448-453 ◽

pp. 2120-2124

Author(s):

Pivnev Vitaliy Viktorovich ◽

Basan Sergey Nikolaevich

Keyword(s):

Minimal Element ◽

Electrical Energy ◽

Electrical Circuit ◽

Functional Element ◽

Minimum Element ◽

Electrical Circuits ◽

Mathematical Diagrams ◽

Definition Of ◽

Extended Element

The paper gives the definition of the mathematical electrical circuit scheme, the extended element basis, the minimum and full functional element basis. The theorem about functionality of the full minimum element basis for the synthesis of mathematical diagrams of electrical circuits, which consists of: ideal conductor, ideal switch, one independent and one dependent source of electrical energy, capacitance or inductance, was convinced. There are a few variants of functionally complete minimal element bases.

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