The authors present a new singular function boundary integral method for the numerical solution of problems with singularities which is based on approximation of the solution by the leading terms of the local asymptotic expansion. The essential boundary conditions are weakly enforced by means of app
Analysis of the singular function boundary integral method for a biharmonic problem with one boundary singularity
β Scribed by E. Christodoulou; M. Elliotis; G. Georgiou; C. Xenophontos
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 479 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0749-159X
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## Abstract A singular function boundary integral method (SFBIM) is proposed for solving biharmonic problems with boundary singularities. The method is applied to the Newtonian stickβslip flow problem. The streamfunction is approximated by the leading terms of the local asymptotic solution expansio
The singularity may appear at u s 0 and at t s 0 or t s 1 and the function f may be discontinuous. The authors prove that for any p ) 1 and for any positive, nonincreasing function f and nonnegative measurable function k with some integrability conditions, the abovementioned problem has a unique sol