Aa. Samarskii et al., DIFFERENCE SCHEME OF HIGHER-ORDER OF APPR OXIMATION FOR DIRICHLETS PROBLEM IN RANDOM DOMAIN, Doklady Akademii nauk BSSR, 42(1), 1998, pp. 13-17
Difference scheme of the second order of approximation for multidimens
ional Poisson equation is constructed. Calculated area Omega is covere
d by rectangular grid with fixed steps on each direction. Difference s
cheme on the near boundary nodes is constructed on the basis of approx
imation in specially chosen point. High efficiency of the method for n
umerical solution in irregular areas is shown in fullfilled calculatio
ns.