Mai-Duy, N. and Tran-Cong, T. (2008) A meshless technique based on integrated radial basis function networks for elliptic partial differential equations. In: 4th International Workshop on Meshfree Methods for Partial Differential Equations, 17-20 Sep 2007, Bonn, Germany.
This paper presents a meshless technique based on radial basis function networks (RBFNs) for solving Dirichlet boundary value problems governed by the Poisson and biharmonic equations. The technique employs integrated RBFNs (IRBFNs) to approximate the field variable and point collocation to discretize the PDE. The boundary conditions are incorporated into IRBFNs via integration constants, which occurs prior to the transformation of the network-weight spaces into the physical space. Several linear and nonlinear test problems are considered to demonstrate the attractiveness of the present meshless technique.
|Item Type:||Conference or Workshop Item (Commonwealth Reporting Category E) (Paper)|
|Additional Information:||Copyright Springer. This is the author's version of a paper published in the series Lecture Notes in Computational Science and Engineering. Author's version deposited with blanket permssion of publisher, Springer. Print copy held in USQ Library at call no. 515.353 Mes.|
|Uncontrolled Keywords:||radial basis functions; meshless discretization; integral collocation formulation|
|Subjects:||290000 Engineering and Technology|
|Depositing User:||Prof Thanh Tran-Cong|
|Date Deposited:||26 May 2009 04:06|
|Last Modified:||02 Jul 2013 23:09|
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