Article information

2008 , Volume 13, Special issue, p.20-26

Burmistrov A.V.

Modification of the random walk method for estimation of solution's gradient in elliptic BVPs

An interior boundary-value problem for an elliptic equation is considered. The equivalent system of local integral equations is constructed with the help of the Green function for the Poisson-Boltzmann operator. The solution and its gradient are estimated using the "random walk on spheres and balls" algorithm.

[full text]
Keywords: Elliptic equation, boundary-value problem, Green function, random walk inside the domain, gradient

Author(s):
Burmistrov Alexander Vasilievi
PhD.
Position: Research Scientist
Office: Institute of Computational Mathematics and Mathematical Geophysics SB RAS
Address: Russia, Novosibirsk
Phone Office: (383) 330 77 21
E-mail: burm@osmf.sscc.ru


Bibliography link:
Burmistrov A.V. Modification of the random walk method for estimation of solution's gradient in elliptic BVPs // Computational technologies. 2008. V. 13. Special issue 4. P. 20-26
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