Adaptive meshless centres and RBF stencils for Poisson equation
, 2011 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 +1 more source
Meshfree Approximation for Multi-Asset Options
, 2009 We price multi-asset options by solving their price partial differential equations using a meshfree approach with radial basis functions under jump-diffusion and geometric Brownian motion frameworks.
Aanand Venkatramanan +3 more
core +1 more source
A meshfree-based local Galerkin method with condensation of degree of freedom
, 2014 Condensation technique of degree of freedom is firstly proposed to improve the computational efficiency of meshfree method with Galerkin weak form. In present method, scattered nodes without connectivity are divided into several subsets by cells with ...
Li, Yangyang +4 more
core +1 more source
Numerical Study on an RBF-FD Tangent Plane Based Method for Convection-Diffusion Equations on Anisotropic Evolving Surfaces. [PDF]
Entropy (Basel), 2022 Adil N, Xiao X, Feng X.
europepmc +1 more source
7th International Workshop on Meshfree Methods for Partial Differential Equations
, 2015 Meshfree methods, particle methods, and generalized finite element methods have witnessed substantial development since the mid 1990s. The growing interest in these methods is due in part to the fact that they are extremely flexible numerical tools and ...
Griebel, Michael, Schweitzer, Marc
core +1 more source
Explicit meshfree u - p w solution of the dynamic Biot formulation at large strain. [PDF]
Comput Part Mech, 2022 Navas P +5 more
europepmc +1 more source
Application of Meshfree Method in Geotechnical Engineering
, 2013 Numerical methods are often used to solve complex engineering problems. Among them, finite element method (FEM) is the most widely used method. However, FEM can only model problems with finite deformation as divergence of solution may occur if there is ...
成威伯, Cheng, Wei-Po
core
Quasi-convex reproducing kernel meshfree method
, 2014 A quasi-convex reproducing kernel approximation is presented for Galerkin meshfree analysis. In the proposed meshfree scheme, the monomial reproducing conditions are relaxed to maximizing the positivity of the meshfree shape functions and the resulting ...
王东东, Wang, Dongdong, Chen, Pengjie
core
Investigation of Mechanical Behaviors of Functionally Graded CNT-Reinforced Composite Plates. [PDF]
Polymers (Basel), 2022 Cho JR, Ahn YJ.
europepmc +1 more source
Traction-Associated Peridynamic Motion Equation and Its Verification in the Plane Stress and Fracture Problems. [PDF]
Materials (Basel), 2023 Yu M, Zhou Z, Huang Z.
europepmc +1 more source