Stabilized finite elements for time‐harmonic waves in incompressible and nearly incompressible elastic solids

2019 ◽  
Vol 120 (8) ◽  
pp. 1027-1046
Author(s):  
Paul E. Barbone ◽  
Navid Nazari ◽  
Isaac Harari
Keyword(s):  
Finite Elements ◽  
Harmonic Waves ◽  
Elastic Solids ◽  
Stabilized Finite Elements ◽  
Time Harmonic

ANALYTICAL AND NUMERICAL STUDIES OF A FINITE ELEMENT PML FOR THE HELMHOLTZ EQUATION

2000 ◽  
Vol 08 (01) ◽  
pp. 121-137 ◽  
Author(s):  
ISAAC HARARI ◽  
MICHAEL SLAVUTIN ◽  
ELI TURKEL
Keyword(s):  
Finite Element ◽  
Finite Elements ◽  
Acoustic Waves ◽  
Dispersion Analysis ◽  
Exterior Domains ◽  
Stabilized Finite Elements ◽  
Numerical Studies ◽  
Time Harmonic ◽  
Element Computation ◽  
Finite Element Computation

A symmetric PML formulation that is suitable for finite element computation of time-harmonic acoustic waves in exterior domains is analyzed. Dispersion analysis displays the dependence of the discrete representation of the PML parameters on mesh refinement. Stabilization by modification of the coefficients is employed to improve PML performance, in conjunction with standard stabilized finite elements in the Helmholtz region. Numerical results validate the good performance of this finite element PML approach.

Time-harmonic waves in viscoelastic media

1989 ◽  
Vol 16 (1) ◽  
pp. 53-58 ◽  
Author(s):  
Giacomo Caviglia ◽  
Angelo Morro ◽  
Enrico Pagani
Keyword(s):  
Harmonic Waves ◽  
Viscoelastic Media ◽  
Time Harmonic
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