. "P(GA201/01/1200), P(ME 148), Z(AV0Z1019905)" . "0862-7940" . "RIV/67985840:_____/01:05025126!RIV/2003/AV0/A05003/N" . "boundary value elliptic problems%finite element method%generalized splines"@en . . "[7BE5CE615B40]" . "6" . . . . "2"^^ . . "0"^^ . "12"^^ . "0"^^ . "2"^^ . . "Applications of Mathematics" . "689869" . "We prove that the finite element method for one-dimensional problems yields no discretization error at nodal points provided the shape functions are appropriately chosen. Then we consider a biharmonic problem with mixed boundary conditions and the weak solution u. We show that the Galerkin approximation of u based on the so-called biharmonic finite elements is independent of the values of u in the interior of any subelement." . "We prove that the finite element method for one-dimensional problems yields no discretization error at nodal points provided the shape functions are appropriately chosen. Then we consider a biharmonic problem with mixed boundary conditions and the weak solution u. We show that the Galerkin approximation of u based on the so-called biharmonic finite elements is independent of the values of u in the interior of any subelement."@en . "K\u0159\u00ED\u017Eek, Michal" . . . . "46" . . "On Exact Results in the Finite Element Method." . . . . "On Exact Results in the Finite Element Method."@en . "467;478" . "Hlav\u00E1\u010Dek, Ivan" . "On Exact Results in the Finite Element Method." . . "RIV/67985840:_____/01:05025126" . "CZ - \u010Cesk\u00E1 republika" . . . "On Exact Results in the Finite Element Method."@en .