论文信息 - Approximation by finite element functions using local regularization

Approximation by finite element functions using local regularization

The aim ofthis paper is to give an elementary proof of a theorem of approximation of Sobolev spaces H(Q) by fimte éléments without to use classical interpolation The construction which we give hère allows us in some cases to fit boundary conditions

P. Clément

[1] Gaetano Fichera,et al. Linear Elliptic Differential Systems and Eigenvalue Problems , 1965 .

[2] J. -J. Goël,et al. Construction of basic functions for numerical utilisation of Ritz's method , 1968 .

[3] Eléments finis raffinés en élasticité bidimensionnelle , 1969 .

[4] J. Bramble,et al. Triangular elements in the finite element method , 1970 .

[5] Gilbert Strang,et al. Approximation in the finite element method , 1972 .

[6] P. G. Ciarlet,et al. General lagrange and hermite interpolation in Rn with applications to finite element methods , 1972 .

[7] S. Hilbert,et al. A Mollifier Useful for Approximations in Sobolev Spaces and Some Applications to Approximating Solutions of Differential Equations , 1973 .