Year: 2023
Author: Bernard Bialecki, Nick Fisher
International Journal of Numerical Analysis and Modeling, Vol. 20 (2023), Iss. 6 : pp. 832–854
Abstract
We apply orthogonal spline collocation with splines of degree r≥3 to solve, on the unit square, Poisson’s equation with Neumann boundary conditions. We show that the H1 norm error is of order r and explain how to compute efficiently the approximate solution using a matrix decomposition algorithm involving the solution of a symmetric generalized eigenvalue problem.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ijnam2023-1036
International Journal of Numerical Analysis and Modeling, Vol. 20 (2023), Iss. 6 : pp. 832–854
Published online: 2023-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 23
Keywords: Poisson’s equation Neumann boundary conditions orthogonal spline collocation convergence analysis matrix decomposition algorithm.