Special curved elements and theitr application [Abstract of thesis]
Special exact curved finite elements
Special exact curved finite elements useful for solving contact problems of the second order in domains boundaries of which consist of a finite number of circular ares and a finite number of line segments are introduced and the interpolation estimates are proved.
A remark on a factorization theorem
Multigrid method with preconditioning on coarse level
An algorithm for using the preconditioned conjugate gradient method to solve a coarse level problem is presented.
Explicit conjugate gradient method with preconditioning
An algorithm of the preconditioned conjugate gradient method in which the solution of an auxiliary system is replaced with multiplication by the matrix for suitably chosen is presented.
Preconditioning of conjugate gradients by multigrid solver
Solving a system of linear algebraic equations by the preconditioned conjugate gradient method requires to solve an auxiliary system of linear algebraic equations in each step. In this paper instead of solving the auxiliary system one iteration of the two level method for the original system is done.
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