Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
권호 표지

ESTIMATING CONVERGENCE FACTORS OF SCHWARZ ALGORITHMS FOR ORTHOGONAL SPLINE COLLOCATION METHOD

  • Kim, Sang-Dong (Department of Mathematics Teachers college, Kyung-pook National University) ;
  • Kim, Seok-Chan (Department of Mathematics Changwon National University)
  • Published : 1999.05.01
Download PDF
⟨ Previous Next ⟩

Abstract

A new and simple estimate using a convex function for convergence factors of Schwarz algorithms orthogonal spline collocation method is presented. The estimated convergence factors in this context depend only on a way to split a given domain.

Keywords

References

  1. BIT v.33 Fourier Analysis of Schwarz Alternating Methods for Piecewise Hermite Bicubic Orthogonal Spline Collocation B. Bialecki;S. Dillery
  2. Domain Decomposition Methods in Science and Engineering v.157 An additive Schwarz algorithm for piecewise Hermite bicubic orthogonal spline collocation, in Contemporary Mathematics B. Bialecki;X.-C. Cai;M. Dryja;G. Fairweather;A. Quarteroni(eds.);J. Periaux(eds.);O/B. Widlund(eds.)
  3. Numer. Math. v.77 no.1 Multievel additive and multiplicative methods for orthogonal spline collocation B. Bialecki;M. Dryja
  4. SIAM J. Numer. Anal. v.29 no.1 Fast Direct Solvers for Piecewise Hermite Bicubic Orthogonal Spline Collocation Equations B. Bialecki;G. Fairweather;K. Bennett