Platte, Rodrigo B.Driscoll, Tobin A.2005-02-162005-02-162003-03-21http://udspace.udel.edu/handle/19716/320Radial basis function (RBF) approximations have been successfully used to solve boundary-value problems numerically. We show that RBFs can also be used to compute eigenmodes of elliptic operators. Special attention is given to the Laplacian operator in two dimensions. We include techniques to avoid degradation of the solution near the boundaries and corner singularities. Numerical results compare favorably to basic finite element methods.452812 bytesapplication/pdfen-USradial basis functionseigenvalueselliptic operatorsnumerical methodsLaplacianTechnical Report