Tikhonov regularization of an elliptic PDE

S. Sheela and Arindama Singh

Mathematics and Computers in Simulation (MATCOM), 2001, vol. 57, issue 1, 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.

Keywords: Singular perturbation; Elliptic PDE; Boundary value problem; Regularization (search for similar items in EconPapers)
Date: 2001
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