Tikhonov regularization of an elliptic PDE

This paper considers an elliptic PDE with a small parameter multiplied with one of the derivatives. Recognizing the equation as an ill-posed equation, Tikhonov’s regularization is used to cast a related well-posed problem. A-priori estimates of the regularized solution and of the difference between the original and the regularized one are also derived. It is suggested that the regularized solution may be computed by using any well-known numerical method.

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Year of publication:	2001
Authors:	Sheela, S. ; Singh, Arindama
Published in:	Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 57.2001, 1, p. 1-4
Publisher:	Elsevier
Subject:	Singular perturbation \| Elliptic PDE \| Boundary value problem \| Regularization

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010749087