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PRECONDITIONING HIGHER ORDER FINITE ELEMENTSYSTEMS BY ALGEBRAICMULTIGRID METHOD OF LINEAR ELEMENTS
2007/12/12
We present and analyze a robust preconditioned conjugate gradient
method for the higher order Lagrangian finite element systems of
a class of elliptic problems. An auxiliary linear element
stiffnes...
We examine a simple averaging formula for the gradient
of linear finite elements in $R^d$ whose interpolation order
in the $L^q$-norm is $\Cal O(h^2)$ for $d<2q$ and nonuniform
triangulations. For ...
Boundary contour method for plane problems in a dual formulation with linear elements
Boundary contour method plane problems dual formulation with linear elements
2010/3/15
The present paper is devoted to the boundary contour method for plane problems in the dual system of elasticity. It has been shown that the integrals on the right side of the corresponding boundary in...