Abstract
The solution of new classes of application problems in the fields of continuum mechanics, including the problems of three-dimensional aerodynamics and hydrodynamics, space physics, environmental science often require considerable computer resources which are often too great even for the leading and best equipped research centers. We believe this problem can be solved by employing up-to-date methods based on irregular adapting grids. For the solution of two-dimensional elliptic problems an adaptive projection-grid method has been designed. The solution is sought as a piecewise-polynomial function. Overdetermined system collocation equations of the differential equation and special mixed conform conditions are used for defining of the coefficients of these polynomials. It is sought on a sequence of grids adapted to the singularities of the solution and to the domain geometry (see also Shokin, Sleptsov (1995), Sleptsov, Shokin (1995).
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© 1997 Springer-Verlag
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Shokin, Y.I. (1997). On new approaches and algorithms of grid construction for the problems of mathematical physics. In: Kutler, P., Flores, J., Chattot, JJ. (eds) Fifteenth International Conference on Numerical Methods in Fluid Dynamics. Lecture Notes in Physics, vol 490. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0107131
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DOI: https://doi.org/10.1007/BFb0107131
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