ORTHOGONAL SPLINE COLLOCATION FOR POISSON'S EQUATION WITH NEUMANN BOUNDARY CONDITIONS

被引：0

作者：

Bialecki, Bernard ^{[1
]}

Fisher, Nick ^{[2
]}

机构：

[1] Colorado Sch Mines, Dept Appl Math & Stat, Golden, CO 80401 USA

[2] Portland State Univ, Dept Math & Stat, Portland, OR 97201 USA

来源：

INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING | 2023年 / 20卷 / 06期

关键词：

Poisson's equation; Neumann boundary conditions; orthogonal spline collocation; convergence analysis; matrix decomposition algorithm;

D O I：

10.4208/ijnam2023-1036

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 H-1 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.

引用

页码：832 / 854

页数：23

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