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Úsilí a optimální tvarové funkce pro hierarchické Hermitovy prvky
Šolín, P. ; Segeth, Karel
In this paper we derive an orthonormal basis for hierarchic higher-order H2-conforming finite elements in one spatial dimension. This basis is optimal from the point of view of the conditioning of the resulting discrete algebraic problem and from the point of view of the quality of the local interpolation. In addition to its direct application in hp-FEM and hp-adaptivity for Hermite elements in 1D this basis can be used for the design of quality higher-order hierarchic Hermite and Argyris elements in higher spatial dimensions.

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