Prediction of Chloride Diffusion in Concrete Structure Using Meshless Methods [PDF]
Degradation of RC structures due to chloride penetration followed by reinforcement corrosion is a serious problem in civil engineering. The numerical simulation methods at present mainly involve finite element methods (FEM), which are based on mesh ...
Ling Yao +3 more
doaj +2 more sources
Unsymmetric meshless methods for operator equations [PDF]
The author proposes a general approach for approximatively solving the well-posed linear operator equations in normed linear spaces. The operators need not be elliptic and the problems can be posed in weak or strong form without changing the theory. The paper seems to be the first to provide a rigid mathematical foundation of certain variations of the `
Schaback, Robert, Robert Schaback
openaire +6 more sources
Localized boundary-domain integral formulations for problems with variable coefficients [PDF]
Specially constructed localized parametrixes are used in this paper instead of a fundamental solution to reduce a boundary value problem with variable coefficients to a localized boundary-domain integral or integro-differential equation (LBDIE or LBDIDE).
Mikhailov, SE
core +7 more sources
Adaptive meshless centres and RBF stencils for Poisson equation [PDF]
We consider adaptive meshless discretisation of the Dirichlet problem for Poisson equation based on numerical differentiation stencils obtained with the help of radial basis functions. New meshless stencil selection and adaptive refinement algorithms are
Oleg Davydov +3 more
core +4 more sources
In this work, a meshless method in local setting and Laplace transform are coupled to approximate partial integro-differential equations (PIDEs). The typical method of obtaining the approximate solution of such type of equations is to use the meshless ...
Kamran, Gohar Ali, J.F. Gómez-Aguilar
doaj +1 more source
Bearing Capacity Analysis Using Meshless Local Petrov-Galerkin Method
The paper deals with use of the meshless method for soil bearing capacity analysis. There are many formulations of the meshless methods. The article presents the Meshless Local Petrov-Galerkin method (MLPG) - local weak formulation of the equilibrium ...
Mužík Juraj
doaj +1 more source
An adaptive meshless method of line based on radial basis functions [PDF]
In this paper, an adaptive meshless method of line is applied to distribute the nodes in the spatial domain. In many cases in meshless methods, it is also necessary for the chosen nodes to have certain smoothness properties.
Jafar Biazar, Mohammad Hosami
doaj +1 more source
A meshless solution of nonlinear elastoplastic problems based on the RRKPM
In this paper, a numerical approach based on the reproducing kernel particle method (RKPM) and the radial basis function (RBF), which is defined as meshless radial basis reproducing kernel particle method (RRKPM), is developed and presented for solving ...
Hongfen Gao, Gaofeng Wei
doaj +1 more source
Meshless Analysis of an Embankment Using Local Galerkin Radial Point Interpolation Method (LGRPIM)
The paper deals with use of the meshless method for slope stability analysis. There are many formulations of the meshless methods. The article presents the Local Galerkin Radial Point Interpolation method (LGRPIM) - local weak formulation of the ...
Juraj Muzik +2 more
doaj +1 more source
The performance investigation of discontinuity definition techniques on numerical solution of crack problems by meshless method [PDF]
In recently, several studies have been conducted to use meshless methods according to their advantages to investigate fracture mechanical problems. The utilization of meshless methods in fracture mechanics because of using continuous shape functions ...
Zahra Sheikhi +3 more
doaj +1 more source

