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  4. FEM elements enriched with meshfree functions: overview and application

FEM elements enriched with meshfree functions: overview and application

MMC.
2014;
Volume 1, Number 1
: pp. 1-16
https://doi.org/10.23939/mmc2014.01.001
Received: April 01, 2014

Math. Model. Comput. Vol. 1, No. 1, pp. 1-16 (2014)

Authors:
  1. M. Bekhta
  2. Ya. Savula
1
Ivan Franko National University of Lviv
2
Ivan Franko National University of Lviv

A specific method of coupling FEM and meshless/meshfree methods is presented. This method is based on placing meshfree nodes inside the finite element and as a result improving the overall approximation on that element. Advantages and disadvantages of such approach are explained. It is shown that such approach is a version of a more general one. Numerical experiments are presented and analyzed.

finite element method
meshfree method
mixed interpolation
convection-diffusion
enriched elements
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