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Abstract

Finite difference and finite element approximations of eigenvalue problems, under certain circumstances, exhibit spectral pollution, i.e. the appearance of eigenvalues that do not converge to the correct value when the mesh density is increased. This phenomenon is investigated in a homogeneous case by means of discrete dispersion relations; the polluting modes belong to a branch of the dispersion relation that is strongly distorted by the discretisation method employed, or to a new, spurious branch. The analysis is applied to finite difference methods and finite element methods, and some suggestions for methods of avoiding polluting schemes are given.

Additional information

Authors: LLOBET X, Centre de Recherches en Physique des Plasmas, Ecole Polytechnique Fédérale de Lausanne, Lausanne (CH);APPERT K, Centre de Recherches en Physique des Plasmas, Ecole Polytechnique Fédérale de Lausanne, Lausanne (CH);BONDESON A, Centre de Recherches en Physique des Plasmas, Ecole Polytechnique Fédérale de Lausanne, Lausanne (CH);VACLAVIK J, Centre de Recherches en Physique des Plasmas, Ecole Polytechnique Fédérale de Lausanne, Lausanne (CH)
Bibliographic Reference: Article: Computer Physics Communications, Vol. 59 (1990) pp. 199-216
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