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- Karl K. Sabelfeld, Irina A. Shalimova, Alexander I. Levykin
- Monte Carlo Meth. and Appl.
- 2006

- Karl Sabelfeld, Irina A. Shalimova
- Monte Carlo Meth. and Appl.
- 2002

Random Walk on Spheres methods for solving some 2D and 3D boundary value problems of elasticity theory are developed. The boundary value problems studied include the elastic thin plate problems with simply supported boundary, rigid fixing of the boundary, and general 2D and 3D problems for the Lame equation. Unbiased estimators for some special classes of… (More)

- Karl K. Sabelfeld, Irina A. Shalimova, Alexander I. Levykin
- Monte Carlo Meth. and Appl.
- 2004

- Karl K. Sabelfeld, Irina A. Shalimova
- Monte Carlo Meth. and Appl.
- 1995

- Karl Sabelfeld, Irina A. Shalimova
- Monte Carlo Meth. and Appl.
- 2001

- Irina A. Shalimova, Karl Sabelfeld
- Monte Carlo Meth. and Appl.
- 2014

A stochastic response of an elastic 3D half-space to random displacement excitations on the boundary plane is studied. We derive exact results for the case of white noise excitations which are then used to give convolution representations for the case of general finite correlation length fluctuations of displacements prescribed on the boundary. Solutions to… (More)

- Irina A. Shalimova, Karl K. Sabelfeld
- Monte Carlo Meth. and Appl.
- 2017

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