INVESTIGADORES
ARMENTANO Maria Gabriela
artículos
Título:
Mass-Lumping or not Mass-Lumping for eigenvalue problems
Autor/es:
MARÍA G. ARMENTANO, RICARDO G. DURÁN
Revista:
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
Editorial:
John Wiley & Sons
Referencias:
Año: 2003 vol. 19 p. 653 - 664
ISSN:
0749-159X
Resumen:
eigenvalue problemsIn this paper we analyze the effect of mass-lumping in the linear triangular finite element approximation of second order elliptic eigenvalue problems. We prove thatthe eigenvalue obtained by using mass-lumping is always below the one obtained with exact integration.
For singular eigenfunctions, as those arising in non convex polygons,we prove that the eigenvalue obtained with mass-lumping is above theexact eigenvalue when the mesh size is small enough. So, we concludethat the use of mass-lumping is convenient in the singular case.
When the eigenfunction is smooth several numerical experiments suggestthat the eigenvalue computed with mass-lumping is below the exact oneif the mesh is not too coarse.