Results 91 to 100 of about 7,438 (209)
Performance of algebraic multigrid methods for non-symmetric matrices arising in particle methods
, 2009 Large linear systems with sparse, non-symmetric matrices arise in the modeling of Markov chains or in the discretization of convection-diffusion problems.
Seibold, Benjamin
core
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
Symmetric boundary knot method
, 2002 The boundary knot method (BKM) is a recent boundary-type radial basis function (RBF) collocation scheme for general PDEs. Like the method of fundamental solution (MFS), the RBF is employed to approximate the inhomogeneous terms via the dual reciprocity ...
Chen, W.
core +2 more sources
An improved moving particle semi-implicit method for dam break simulation
, 2014 Dam break is quite a common and hazard phenomenon in shipbuilding and ocean engineering. The objective of this study is to investigate dam break hydrodynamics with improved Moving Particle Semi-implicit method (MPS). Compared to traditional mesh methods,
Tan, M., Wu, Qiaorui, Xing, J.T.
core +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
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 +3 more
doaj +1 more source
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 +2 more
doaj +1 more source
, 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 +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
Elastic-plastic fracture mechanics analysis using wavelet Galerkin method
Nihon Kikai Gakkai ronbunshu, 2014 In this study, elastic-plastic fracture mechanics analysis are carried out for two-dimensional (2D) solids using the wavelet Galerkin method (WGM) and the extended finite element method (X-FEM).
Shuya UEDA +4 more
doaj +1 more source