A fast solver for the orthogonal spline collocation solution of the biharmonic Dirichlet problem on rectangles
A fast Schur complement algorithm for computing piecewise Hermite bicubic orthogonal spline collocation of the biharmonic Dirichlet problem is presented. On an uniform \(N\times N\) uniform partition, the algorithm which involves the preconditioned conjugate gradient method and fast Fourier transforms, requires \(O(N^2 \log_2 N)\) arithmetic operations.
scientific article; zbMATH DE number 2005953
scientific article