Publicación: FINITE ELEMENT ANALYSIS OF THE OSEEN EIGENVALUE PROBLEM
Fecha
2024
Autores
Título de la revista
ISSN de la revista
Título del volumen
Editor
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Resumen
WE PROPOSE AND ANALYZE A FINITE ELEMENT METHOD FOR THE OSEEN EIGENVALUE PROBLEM. THIS PROBLEM IS AN EXTENSION OF THE STOKES EIGENVALUE PROBLEM, WHERE THE PRESENCE OF THE CONVECTIVE TERM LEADS TO A NON-SYMMETRIC PROBLEM AND HENCE, TO COMPLEX EIGENVALUES AND EIGENFUNCTIONS. WITH THE AID OF THE COMPACT OPERATORS THEORY, WE PROVE THAT FOR INF-SUP STABLE FINITE ELEMENTS THE CONVERGENCE HOLDS AND HENCE, ERROR ESTIMATES FOR THE EIGENVALUES AND EIGENFUNCTIONS ARE DERIVED. WE ALSO PROPOSE AN A POSTERIORI ERROR ESTIMATOR WHICH RESULTS TO BE RELIABLE AND EFFICIENT. WE REPORT A SERIES OF NUMERICAL TESTS IN TWO AND THREE DIMENSION IN ORDER TO ASSESS THE PERFORMANCE OF THE METHOD AND THE PROPOSED ESTIMATOR.
Descripción
Palabras clave
Oseen equations, Mixed problems, Error estimates, Eigenvalue problems
