Results 51 to 60 of about 27,777 (244)
The collocation and meshless methods for differential equations in R(2)
, 2007 In recent years, meshless methods have become popular ones to solve differential equations. In this thesis, we aim at solving differential equations by using Radial Basis Functions, collocation methods and fundamental solutions (MFS).
Jarjees, Thamira Abid
core +1 more source
Computers and Mathematics with Applications, 2020 In this paper, 2D viscoelastic wave equation is solved numerically both on regular and irregular domains. For spatial approximation of viscoelastic wave equation two meshless methods based on local radial basis function and barycentric rational ...
Ö. Oruç
semanticscholar +1 more source
MODELING AND SIMULATION OF THERMOMECHANICAL STRESSES AND RESIDUAL STRESSES IN RESISTANCE SPOT WELDING BETWEEN TWO SHEETS OF MLPG METHOD [PDF]
مجله مدل سازی در مهندسی, 2013 In current years, some attempts have been done to eliminate the grid of numerical solving processes. These attempts were created the groups of calculation methods which are known as meshless methods. MLPG methods are one of the efficient meshless methods
R. Vahdati, M. OzvAminian
doaj +1 more source
Trefftz Difference Schemes on Irregular Stencils
, 2009 The recently developed Flexible Local Approximation MEthod (FLAME) produces accurate difference schemes by replacing the usual Taylor expansion with Trefftz functions -- local solutions of the underlying differential equation.
Al Shenk +50 more
core +1 more source
Accurate, meshless methods for magnetohydrodynamics [PDF]
Monthly Notices of the Royal Astronomical Society, 2015 35 pages, 39 figures. MNRAS. Updated with published version. A public version of the GIZMO MHD code, user's guide, test problem setups, and movies are available at http://www.tapir.caltech.edu/~phopkins/Site/GIZMO ...
Hopkins, Philip F., Raives, Matthias J.
openaire +3 more sources
Open Physics, 2021 In this study, we propose a simple direct meshless scheme based on the Gaussian radial basis function for the one-dimensional linear and nonlinear convection–diffusion problems, which frequently occur in physical phenomena.
Wang Fuzhang +3 more
doaj +1 more source
A stabilized radial basis-finite difference (RBF-FD) method with hybrid kernels
, 2018 Recent developments have made it possible to overcome grid-based limitations of finite difference (FD) methods by adopting the kernel-based meshless framework using radial basis functions (RBFs). Such an approach provides a meshless implementation and is
Fasshauer, Gregory E +3 more
core +1 more source
An advanced meshless technique for large deformation analysis of metal forming [PDF]
, 2008 The large deformation analysis is one of major challenges in numerical modelling and simulation of metal forming. Although the finite element method (FEM) is a well-established method for modeling nonlinear problems, it often encounters difficulties for ...
Gu, YuanTong +2 more
core +3 more sources
Adaptive meshless refinement schemes for RBF-PUM collocation
, 2018 In this paper we present an adaptive discretization technique for solving elliptic partial differential equations via a collocation radial basis function partition of unity method. In particular, we propose a new adaptive scheme based on the construction
Cavoretto, R., De Rossi, A.
core +1 more source
Local Polynomial Regression and Filtering for a Versatile Mesh‐Free PDE Solver
International Journal for Numerical Methods in Fluids, EarlyView.A high‐order, mesh‐free finite difference method for solving differential equations is presented. Both derivative approximation and scheme stabilisation is carried out by parametric or non‐parametric local polynomial regression, making the resulting numerical method accurate, simple and versatile. Numerous numerical benchmark tests are investigated for
Alberto M. Gambaruto
wiley +1 more source