Results 91 to 100 of about 7,547 (205)

A Study of the Partition of Unity-based T3-CNS and T3-DNS Finite Elements in Surface Fitting

Civil Engineering Dimension
Various alternative, enhanced finite element methods (FEMs) have been proposed to improve the accuracy and convergence of traditional FEM. One promising approach is the hybrid FEM-meshfree method using the partition of unity concept. This study examines
Heri Istiono, Wong Foek Tjong
doaj   +1 more source

A quasi-RBF technique for numerical discretization of PDE's [PDF]

, 2002
Atkinson developed a strategy which splits solution of a PDE system into homogeneous and particular solutions, where the former have to satisfy the boundary and governing equation, while the latter only need to satisfy the governing equation without ...
Chen, W.
core   +1 more source

Determination of the critical load and energy release rate in mode II delamination using a meshfree method

Science and Engineering of Composite Materials, 2014
Simulation of fracture by using numerical methods is important to treat geometries that change in time. In this study, both numerical and experimental investigations are presented for the delamination under mode II loading, detailing the derivation of ...
Pekbey Yeliz, Hesar Goudarz Ghanizadeh, Yildiz Hasan, Maleki Farshid Khosravi   +3 more
doaj   +1 more source

Mesh-free approach to Helmholtz equation based on radial basis functions

Journal of Telecommunications and Information Technology, 2005
Recently, a radial basis functions (RBFs) method, which was originally proposed for interpolation problems, has been developed and applied to solve partial differential equations and eigenproblems.
Piotr Kowalczyk, Michał Mrozowski
doaj   +1 more source

Numerical investigation of Differential Biological-Models via GA-Kansa Method Inclusive Genetic Strategy

, 2017
In this paper, we use Kansa method for solving the system of differential equations in the area of biology. One of the challenges in Kansa method is picking out an optimum value for Shape parameter in Radial Basis Function to achieve the best result of ...
Fallah, Mohammad Kazem, Hemami, Mohammad, Parand, Kourosh   +2 more
core  

A parametrized variational principle of nonlinear piezoelectricity

Computer Assisted Methods in Engineering and Science, 2023
The variational theory is the theoretical basis of the finite element method, meshfree particle methods and other modern numerical techniques. The present paper establishes a family of variational principles for nonlinear piezoelectricity.
Ji-Huan He
doaj  

Multiscale seamless-domain method for solving nonlinear heat conduction problems without iterative multiscale calculations

Mechanical Engineering Journal, 2016
In this paper, we applied a multiscale numerical scheme called the seamless-domain method (SDM) to nonlinear elliptic boundary value problems. Although the SDM is meshfree, it can obtain a high-resolution solution whose dependent-variable gradient(s) is ...
Yoshiro SUZUKI, Akira TODOROKI, Yoshihiro MIZUTANI   +2 more
doaj   +1 more source

Large Amplitude Vibration of FG-GPL Reinforced Conical Shell Panels on Elastic Foundation. [PDF]

Materials (Basel), 2023
Cho JR.
europepmc   +1 more source

Selection of Radial Basis Functions for the Accuracy of Meshfree Galerkin Method in Rotating Euler-Bernoulli Beam Problem. [PDF]

Int J Appl Comput Math, 2022
Panchore V.
europepmc   +1 more source

Meshfree Semi-Lagrangian Methods for Solving Surface Advection PDEs. [PDF]

J Sci Comput, 2022
Petras A, Ling L, Ruuth SJ.
europepmc   +1 more source