Books and Other Publications

2013

PROCEEDINGS OF THE 2013 10TH INTERNATIONAL CONFERENCE ON INFORMATION TECHNOLOGY: NEW GENERATIONS

  • Fukuda, Naohiro
  • ,
  • Kinoshita, Tamotu
  • ,
  • Kubo, Takayuki

Authorship
Contributor
Area of responsibility
On the Finite Element Method with Riesz Bases and its Applications to Some Partial Differential Equations
Publisher
IEEE COMPUTER SOC
Language
English
Book type
Scholarly book
DOI
10.1109/ITNG.2013.121
ISBN
9780769549675

In this paper, we will find the numerical solution of partial differential equations by using the finite element method with Riesz bases that are elevated from orthonormal bases. Especially for the two-dimensional cases, we also propose another way to solve a matrix-valued equation (Lyapunov equation). Moreover, we give the precise inverse formula for symmetric block tridiagonal Toeplitz matrices. To conclude, we present some numerical results that show the usefulness of the elevated bases.

Link information
DOI
https://doi.org/10.1109/ITNG.2013.121
ID information
  • DOI : 10.1109/ITNG.2013.121
  • ISBN : 9780769549675