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Fast Meshless Techniques Based on the Regularized Method of Fundamental Solutions

  • Csaba GáspárEmail author
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10187)

Abstract

A regularized method of fundamental solutions is presented. The method can handle Neumann and mixed boundary conditions as well without using a desingularization technique. Instead, the approach combines the regularized method of fundamental solutions with traditional finite difference techniques based on some inner collocation points located in the vicinity of the boundary collocation points. Nevertheless, the resulting method remains meshless. The method avoids the problem of singularity and can be embedded in a natural multi-level context. The method is illustrated via a numerical example.

Keywords

Meshless methods Method of fundamental solutions Regularization Finite difference schemes Multi-level methods 

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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Széchenyi István UniversityGyörHungary

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