Constructing adaptive nets by the projection method (Q1385914)

Methods for constructing quasiuniform nets are used effectively in the development of adaptive algorithms, e.g., to ensure correctness of the problem and smoothness of a net in the control function method or in variational approaches. In generalizations for hypersurfaces, they are a basis for working out methods for constructing adaptive nets in domains and on their boundaries. In this work, we present analytic and numerical results of one of these methods. One defines an adaptive net by projecting the quasiuniform net, which is constructed on the adaptive surface formed by the values of a scalar or vector function, which takes into account the peculiarities of the physical problem that are necessary for calculation.