6 research outputs found
Adaptive meshless centres and RBF stencils for Poisson equation
Get PDFWe 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 proposed in 2D. Numerical experiments show that the accuracy of the solution is comparable with, and often better than that achieved by the mesh-based adaptive finite element method
A stencil adaptive algorithm for finite difference solution of incompressible viscous flows
No full text10.1016/j.jcp.2005.09.021Journal of Computational Physics2141397-420JCTP
