Solution method of three-dimensional nonlinear flow equation in a confined aquifer with partially penetrating wells. (Russian. English summary) Zbl 1109.76379

Mazurov, P. A.; Tsepaev, A. V.

Mat. Model. 16, No. 3, 33-42 (2004).

Domain decomposition methods (DDM) are widely used nowadays for solving different types of PDE describing problems of hydrodynamics, hydromechanics etc. Here a variant of DDM is applied for the 3D filtration problem with use of grids narrowing in near well domains to the well boundaries. As a result the problem is described by a system of nonlinear equations of a large dimension and there is a necessity to use multi- processor computers and parallel algorithms of calculations.

Reviewer: Sergei Georgievich Zhuravlev (Moskva)

MSC:

76S05	Flows in porous media; filtration; seepage
76M25	Other numerical methods (fluid mechanics) (MSC2010)

Keywords:

filtration; three-dimensional filtration problems; nonlinear filtration law; nonlinear system of equations; numerical experiments; parallel computing algorithms