Displaying similar documents to “A general theorem on triangular finite C ( m ) -elements”

Curved triangular finite C m -elements

Alexander Ženíšek (1978)

Aplikace matematiky

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Curved triangular C m -elements which can be pieced together with the generalized Bell’s C m -elements are constructed. They are applied to solving the Dirichlet problem of an elliptic equation of the order 2 ( m + 1 ) in a domain with a smooth boundary by the finite element method. The effect of numerical integration is studied, sufficient conditions for the existence and uniqueness of the approximate solution are presented and the rate of convergence is estimated. The rate of convergence is the same...