On the method of additional conditions in mathematical physics

Authors:
Igor Neygebauer
Affiliations:
University of Dodoma, Department of Mathematics and Statistics, Dodoma, Tanzania
Venue:
F-and-B'11 Proceedings of the 4th WSEAS international conference on Finite differences - finite elements - finite volumes - boundary elements
Year:
2011

Citing 1
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Analysis of First-Order System Least Squares (FOSLS) for Elliptic Problems with Discontinuous Coefficients: Part I

SIAM Journal on Numerical Analysis

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Abstract

The method of additional conditions gives a well characteristic of the finite stresses near the tip of a crack of the Griffth's problem in fracture mechanics, where it is supposed of a finite elastic potential which entails the zero value of the J-integral. In this paper we apply this method to the Laplace equation in the wedge and show that different equations of can be considered in a similar way.