A collocation method for the solution of the first boundary value problem of elasticity in R^2
- Elschner, Johannes
- Hansen, Olaf
2010 Mathematics Subject Classification
- 45E10 65N38 65R20 73C02
- Lamé equation, boundary integral equation, spline collocation, solvability in weighted Sobolev spaces
We present a spline collocation method for the numerical solution of a system of integral equations on a polygon in ĝ2. This integral equation arises if one solves the first boundary value problem for the Lamé equation with a double layer potential. The derivation and the analysis of the integral equation is given in detail. The optimal order of the spline collocation method is proved for sufficiently graded meshes.
- J. Integral Equations Appl., 11 (1999), No. 2, pp. 141-196.