Orthogonal splines and variational-grid method

The system of orthogonal splines connected to a sequence of grids is offered. It is shown, that it forms basis in space of functions; the estimation of an accuracy of approximation is resulted. The variationalgrid method of the theory of elastic plates based on use of the mixed variational principle and orthogonal splines is offered. The advantages of a method are derivated by orthogonal finite basic functions. Their connection with triangular grids allows to solve tasks for areas with curvilinear boundaries. The accounts, executed on the computer, have shown efficiency of a method.