TY  - EJOU
AU  - Jin, B. 

TI  - A Meshless Method for the Laplace and Biharmonic Equations Subjected to Noisy Boundary Data
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2004
VL  - 6
IS  - 3
SN  - 1526-1506

AB  - In this paper, we propose a new numerical scheme for the solution of the Laplace and biharmonic equations subjected to noisy boundary data. The equations are discretized by the method of fundamental solutions. Since the resulting matrix equation is highly ill-conditioned, a regularized solution is obtained using the truncated singular value decomposition, with the regularization parameter given by the L-curve method. Numerical experiments show that the method is stable with respect to the noise in the data, highly accurate and computationally very efficient.
KW  - The method of fundamental solutions
KW  -  truncated singular value decomposition
KW  -  L-curve method
KW  -  Laplace equation
KW  -  biharmonic equation

DO  - 10.3970/cmes.2004.006.253