Example Solutions of Elliptic Grid Equations

Aleksandr A. Samarskii and Evgenii S. Nikolaev
Additional contact information
Aleksandr A. Samarskii: Moscow University, Department of Computational, Mathematics and Cybernetics
Evgenii S. Nikolaev: Moscow University, Department of Computational, Mathematics and Cybernetics

Chapter Chapter 14 in Numerical Methods for Grid Equations, 1989, pp 389-445 from Springer

Abstract: Abstract In Section 14.1 we consider certain ways of constructing implicit iterative schemes, in particular ones based on the extraction of a regularizer. In Section 14.2 we construct direct and iterative methods for solving difference problems in the multi-dimensional case. We consider an iterative method for solving a boundary-value problem of the third kind for an elliptic equation with mixed derivatives in a rectangle. Methods for solving systems of elliptic equations axe discussed in Section 14.3. Here we consider the application of the general theory to the solution of certain problems in elasticity theory. In Section 14.4 we illustrate methods for solving a Dirichlet difference problem for Poisson’s equation in a region of complex form, based on the reduction of the given problem to the solution of a series of problems in a rectangle.

Keywords: Iterative Method; Elliptic Equation; Arithmetic Operation; Grid Function; Difference Problem (search for similar items in EconPapers)
Date: 1989
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-9142-4_10

Ordering information: This item can be ordered from
http://www.springer.com/9783034891424

DOI: 10.1007/978-3-0348-9142-4_10

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().