A New Meshless Collocation Method for Partial Differential Equations
New method for the solution of PDEs
A collocation meshless method is developed for the numerical solution of Partial Differential Equations (PDEs) on the scattered point distribution. The meshless shape functions are constructed on a group of selected nodes (stencil) arbitrarily distributed in a local support domain by means of a polynomial interpolation. This shape function formulation possesses the Kronecker delta function property, and hence many numerical treatments are as simple as those of the Finite Element Method (FEM). Nearest neighbor algorithm is used for the support domain nodes collection and a search algorithm based on the Gauss-Jordan pivot method is applied to s…
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Produktdetails
- ISBN: 978-3-8443-0199-1
- EAN: 9783844301991
- Produktnummer: 37669685
- Verlag: LAP Lambert Academic Publishing
- Sprache: Englisch
- Erscheinungsjahr: 2011
- Seitenangabe: 108 S.
- Masse: H22.0 cm x B15.0 cm x D0.6 cm 179 g
- Abbildungen: Paperback
- Gewicht: 179
Über den Autor
Born in 1978 at Dhaka, Bangladesh. Currently working as a Research Assistant at IAG, University of Stuttgart. To be appeared for Dr.-Ing degree in 2011. Graduation from Shahjalal University of Science & Technology (SUST), Bangladesh in Applied Mathematics and MSc. degree in Computational Sciences in Engineering [CSE] from TU Braunschweig, Germany.
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