Stabilized finite elements for time-harmonic elastic waves

2011 ◽  
Vol 200 (21-22) ◽  
pp. 1774-1786 ◽  
Author(s):  
I. Harari ◽  
R. Ganel ◽  
E. Grosu
Keyword(s):  
Finite Elements ◽  
Elastic Waves ◽  
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.

scholarly journals Uniqueness and Lipschitz stability of an inverse boundary value problem for time-harmonic elastic waves

2017 ◽  
Vol 33 (3) ◽  
pp. 035013 ◽  
Author(s):  
Elena Beretta ◽  
Maarten V de Hoop ◽  
Elisa Francini ◽  
Sergio Vessella ◽  
Jian Zhai
Keyword(s):  
Boundary Value Problem ◽  
Elastic Waves ◽  
Boundary Value ◽  
Lipschitz Stability ◽  
Inverse Boundary ◽  
Inverse Boundary Value Problem ◽  
Time Harmonic
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