HERMITE INFINITE ELEMENTS AND GRADED QUADRATIC B-SPLINE FINITE-ELEMENTS


Gardner L. R. T., Gardner G. A., Dağ İ.

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, cilt.36, sa.19, ss.3317-3332, 1993 (SCI-Expanded) identifier identifier

Özet

Quadratic B-spline finite elements are defined for a graded mesh. Hermite infinite elements are proposed to extend the applicability of these finite elements to unbounded regions. Test problems used to compare this technique with published procedures show that the quadratic B-spline finite element solution has, as expected, lower error bounds than a linear element solution. These experiments also demonstrate that the Hermite infinite elements used to close the B-spline finite element arrays lead to error norms comparable in size with other infinite element formulations.