Spurious Behavior for a Numerical Scheme of Nonlinear Elliptic Equations

Author: Vadillo F.

Source: Journal of Computational Physics, Volume 121, Number 1, October 1995 , pp. 94-101(0)

Publisher: Academic Press

Key:
Free Content - Free Content
New Content - New Content
Subscribed Content - Subscribed Content
Free Trial Content - Free Trial Content

Abstract:

In this paper we investigate finite difference approximations of nonlinear elliptic equations of the form Deltau | lambda(u | up) 0 in three dimensions, where lambda is a positive parameter. We show the existence of spurious solution branches, these solutions are spurious in the sense that they are not solutions of the differential problem. We also construct a modified problem describing the behaviour of numerical solutions, so the finite difference method may be regarded as an approximation of the modified problem. We present the results of some numerical experiments to substantiate our claims.Copyright 1995, 1999 Academic Press

Language: English

Document Type: Research article

Affiliations: Departmento de Matematica Aplicada y Estadística e I. O., Facultad de Ciencias, Universidad del Pais Vasco, Apartado 644, 48080 Bilbao, Spain:

The full text electronic article is available for purchase. You will be able to download the full text electronic article after payment.

$54.13 plus tax      Refund Policy

 

OR

Back to top

Key:
Free Content - Free Content
New Content - New Content
Subscribed Content - Subscribed Content
Free Trial Content - Free Trial Content
Share this item with others: These icons link to social bookmarking sites where readers can share and discover new web pages.
Page Help Click here for Page Help
Shopping cart
Tools
Sign in






Need to register?
Sign up here
Text size: A | A | A | A