Automatically adaptive stabilized finite elements and continuation analysis for compaction banding in geomaterials

2021 ◽  
Author(s):  
Roberto J. Cier ◽  
Thomas Poulet ◽  
Sergio Rojas ◽  
Manolis Veveakis ◽  
Victor M. Calo
Keyword(s):  
Finite Elements ◽  
Stabilized Finite Elements

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 Stabilized Finite Elements in FUN3D

2017 ◽  
Author(s):  
William K. Anderson ◽  
James C. Newman ◽  
Steve L. Karman
Keyword(s):  
Finite Elements ◽  
Stabilized Finite Elements

Stabilized Finite Elements for a Reaction-Dispersion Saddle-Point Problem with NonConstant Coefficients

2014 ◽  
Vol 52 (5) ◽  
pp. 2207-2226 ◽  
Author(s):  
Faker Ben Belgacem ◽  
Christine Bernardi ◽  
Frédéric Hecht ◽  
Stéphanie Salmon
Keyword(s):  
Finite Elements ◽  
Saddle Point ◽  
Saddle Point Problem ◽  
Point Problem ◽  
Stabilized Finite Elements
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