Results 31 to 40 of about 16,295,354 (199)
Numerical Simulation of PDEs by Local Meshless Differential Quadrature Collocation Method [PDF]
Symmetry, 2019 In this paper, a local meshless differential quadrature collocation method based on radial basis functions is proposed for the numerical simulation of one-dimensional Klein–Gordon, two-dimensional coupled Burgers’, and regularized long wave equations.
Imtiaz Ahmad +4 more
openaire +3 more sources
Ain Shams Engineering Journal, 2016 In this paper, the meshless local radial point interpolation (MLRPI) method is applied to one-dimensional inverse heat conduction problems. The meshless LRPIM is one of the truly meshless methods since it does not require any background integration cells.
Elyas Shivanian +1 more
doaj +1 more source
A meshless Galerkin method for non-local diffusion using localized kernel bases
Mathematics of Computation, 2018 We introduce a meshless method for solving both continuous and discrete variational formulations of a volume constrained, non-local diffusion problem. We use the discrete solution to approximate the continuous solution. Our method is non-conforming and uses a localized Lagrange basis that is constructed out of radial basis functions.
R. B. Lehoucq +3 more
openaire +2 more sources
Meshless simulation of dam break using MLPG-RBF and shallow water equations
MATEC Web of Conferences, 2017 This article focuses on the application of the meshless local Petrov-Galerkin (MLPG) method to solve the shallow water equations (SWE). This localized approach is based on the meshless weak formulation with the use of radial-basis functions (RBF) as the ...
Mužík Juraj, Holičková Martina
doaj +1 more source
Interpolated Adaptive Linear Reduced Order Modeling for Deformation Dynamics
Computer Graphics Forum, EarlyView.Abstract Linear reduced‐order modeling (ROM) is widely used for efficient simulation of deformation dynamics, but its accuracy is often limited by the fixed linearization of the reduced mapping. We propose a new adaptive strategy for linear ROM that allows the reduced mapping to vary dynamically in response to the evolving deformation state ...
Y. Tao, M. Chiaramonte, P. Fernandez
wiley +1 more source
Meshless Local Petrov-Galerkin Method in Anisotropic Elasticity
Computer Modeling in Engineering & Sciences, 2004 A meshless method based on the local Petrov-Galerkin approach is proposed for solution of static and elastodynamic problems in a homogeneous anisotropic medium. The Heaviside step function is used as the test functions in the local weak form. It is leading to derive local boundary integral equations (LBIEs).
Sladek, J., Sladek, V., Atluri, S. N.
openaire +2 more sources
Generalized Finite Difference Method for Plate Bending Analysis of Functionally Graded Materials
Mathematics, 2020 In this paper, an easy-to-implement domain-type meshless method—the generalized finite difference method (GFDM)—is applied to simulate the bending behavior of functionally graded (FG) plates.
Yu-Dong Li, Zhuo-Chao Tang, Zhuo-Jia Fu
doaj +1 more source
Fast Nodal Hessian Computation for Peridynamic Fracture Simulation
Computer Graphics Forum, EarlyView.A fast, exact nodal Hessian computation for Non‐Ordinary State‐Based Peridynamics is introduced through analytical simplification and a warp‐centric GPU strategy. The method accelerates preconditioned solvers and Vertex Block Descent, enabling interactive fracture simulation with physical accuracy.
Yuxiong Qin +2 more
wiley +1 more source
Tangent Blow‐Ups for Processing Non‐Manifold Geometry
Computer Graphics Forum, EarlyView.Abstract Many geometry processing pipelines implicitly assume their input data is a manifold, or is sampled from one, with a unique tangent plane at every point. Geometric data, however, routinely contains sharp features like edges, corners, self‐intersections, branching junctions, and other singularities, rendering standard methods ill‐defined at ...
Alice Petrov +3 more
wiley +1 more source
A Moving IRBFN-Based Galerkin Meshless Method [PDF]
, 2010 A novel meshless method based on Radial Basis Function networks (RBFN) and variational principle (global weak form) is presented in this paper. In this method, the global integrated RBFN is localized and coupled with the moving least square method via ...
Le, Phong B. H. +7 more
core +1 more source