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The numerical advantages of decomposing a driven Sturm-Liouville equation into a sympletic (i.e. Hamiltonian) set of first order equations are investigated. By testing the convergence in energy norm for an exact problem with a regular singular point, it is found that for piecewise linear tent elements, the Hamiltonian finite element scheme is up to three orders of magnitude more accurate than the ordinary Galerkin-Ritz method.

Additional information

Authors: PLETZER A, Centre de Recherches en Physique des Plasmas, Ecole Polytechnique Fédérale de Lausanne (CH)
Bibliographic Reference: Article: Proceedings of the 6th Joint EPS-APS International Conference on Physics Computing, Lugano, Switzerland, August 22-26, 1994, pp. 187-190
Record Number: 199510215 / Last updated on: 1995-02-21
Original language: en
Available languages: en