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|Title:||Tikhonov regularization of an elliptic PDE|
Partial differential equations
Elliptic partial differential equations
Boundary value problems
|Citation:||Mathematics and Computers in Simulation, 57(1-2), 1-4|
|Abstract:||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. ? 2001 IMACS. Published by Elsevier Science B.V. All rights reserved.|
|Appears in Collections:||Articles|
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