Abstract
The aim of this manuscript is to give a practical overview of meshless methods (for solid mechanics) based on global weak forms through a simple and well-structured MATLAB code, to illustrate our discourse. The source code is available for download on our website and should help students and researchers get started with some of the basic meshless methods; it includes intrinsic and extrinsic enrichment, point collocation methods, several boundary condition enforcement schemes and corresponding test cases. Several one and two-dimensional examples in elastostatics are given including weak and strong discontinuities and testing different ways of enforcing essential boundary conditions.
| Original language | English |
|---|---|
| Pages (from-to) | 763-813 |
| Number of pages | 51 |
| Journal | Mathematics and Computers in Simulation |
| Volume | 79 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 1 Dec 2008 |
Fingerprint
Cite this
}
Meshless methods : A review and computer implementation aspects. / Nguyen, Vinh Phu; Rabczuk, Timon; Bordas, Stéphane; Duflot, Marc.
In: Mathematics and Computers in Simulation, Vol. 79, No. 3, 01.12.2008, p. 763-813.Research output: Contribution to journal › Review article
TY - JOUR
T1 - Meshless methods
T2 - A review and computer implementation aspects
AU - Nguyen, Vinh Phu
AU - Rabczuk, Timon
AU - Bordas, Stéphane
AU - Duflot, Marc
PY - 2008/12/1
Y1 - 2008/12/1
N2 - The aim of this manuscript is to give a practical overview of meshless methods (for solid mechanics) based on global weak forms through a simple and well-structured MATLAB code, to illustrate our discourse. The source code is available for download on our website and should help students and researchers get started with some of the basic meshless methods; it includes intrinsic and extrinsic enrichment, point collocation methods, several boundary condition enforcement schemes and corresponding test cases. Several one and two-dimensional examples in elastostatics are given including weak and strong discontinuities and testing different ways of enforcing essential boundary conditions.
AB - The aim of this manuscript is to give a practical overview of meshless methods (for solid mechanics) based on global weak forms through a simple and well-structured MATLAB code, to illustrate our discourse. The source code is available for download on our website and should help students and researchers get started with some of the basic meshless methods; it includes intrinsic and extrinsic enrichment, point collocation methods, several boundary condition enforcement schemes and corresponding test cases. Several one and two-dimensional examples in elastostatics are given including weak and strong discontinuities and testing different ways of enforcing essential boundary conditions.
KW - Computer implementation
KW - Extrinsic discontinuities
KW - Intrinsic enrichment
KW - MATLAB
KW - Meshless methods
UR - http://www.scopus.com/inward/record.url?scp=55949119340&partnerID=8YFLogxK
U2 - 10.1016/j.matcom.2008.01.003
DO - 10.1016/j.matcom.2008.01.003
M3 - Review article
VL - 79
SP - 763
EP - 813
JO - Mathematics and Computers in Simulation
JF - Mathematics and Computers in Simulation
SN - 0378-4754
IS - 3
ER -