CALCULATING NUMERIC DISPERSIVE PROPERTIES OF FEM's FOR THE 2D AND 3D ELASTIC WAVE EQUATION

FABIO IVÁN ZYSERMAN; PATRICIA M. GAUZELLINO

MECANICA COMPUTACIONAL

AMCA

Lugar: Bahia Blanca; Año: 2003 vol. 22 p. 1554 - 1568

We investigate the numerical dispersive properties of nonconforming finite element methods to solve the two and three dimensional elastodynamic equations. The study is performed by deriving and analysing the dispersion relations and by evaluating the derived quantities, such as the dimension-less phase and group velocities. Also the phase difference between exact and numerical solutions is investigated. The studied method, which yields a linear spatial approximation, demonstrates to be less dispersive than conforming bilinear finite element methods yielding the same spatial degree of approximation in the two cases shown herein.