Publicación:
DISCONTINUOUS GALERKIN METHODS FOR THE ACOUSTIC VIBRATION PROBLEM

dc.creatorFELIPE ANDRÉS LEPE ARAYA
dc.creatorDAVID ANDRÉS MORA HERRERA
dc.date2023
dc.date.accessioned2025-01-10T15:43:39Z
dc.date.available2025-01-10T15:43:39Z
dc.date.issued2023
dc.description.abstractIN TWO AND THREE DIMENSION WE ANALYZE DISCONTINUOUS GALERKIN METHODS (DG) FOR THE ACOUSTIC VIBRATION PROBLEM. THROUGH ALL OUR STUDY WE CONSIDER AN INVISCID FLUID, LEADING TO A LINEAR EIGENVALUE PROBLEM. THE ACOUSTIC PROBLEM IS WRITTEN, IN FIRST PLACE, IN TERMS OF THE DISPLACEMENT. UNDER THE APPROACH OF THE NON-COMPACT OPERATORS THEORY, WE PROVE CONVERGENCE AND ERROR ESTIMATES FOR THE METHOD WHEN THE DISPLACEMENT FORMULATION IS CONSIDERED. WE ANALYZE THE INFLUENCE OF THE STABILIZATION PARAMETER ON THE COMPUTATION OF THE SPECTRUM, WHERE SPURIOUS EIGENMODES ARISE WHEN THIS PARAMETER IS NOT CORRECTLY CHOSEN. ALTERNATIVELY WE PRESENT THE FORMULATION DEPENDING ONLY ON THE PRESSURE, COMPARING THE PERFORMANCE OF THE DG METHODS WITH THE PURE DISPLACEMENT FORMULATION. COMPUTATIONALLY, WE STUDY THE INFLUENCE OF THE STABILIZATION PARAMETER ON THE ARISING OF SPURIOUS EIGENVALUES WHEN THE SPECTRUM IS COMPUTED. ALSO, WE REPORT TESTS IN TWO AND THREE DIMENSIONS WHERE CONVERGENCE RATES ARE REPORTED, TOGETHER WITH A COMPARISON BETWEEN THE DISPLACEMENT AND PRESSURE FORMULATIONS FOR THE PROPOSED DG METHODS.
dc.formatapplication/pdf
dc.identifier.doi10.1016/j.cam.2023.115700
dc.identifier.issn1879-1778
dc.identifier.issn0377-0427
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/13376
dc.languagespa
dc.publisherJOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
dc.relation.uri10.1016/j.cam.2023.115700
dc.rightsPUBLICADA
dc.subjectGalerkin method
dc.subjectError estimates
dc.subjectEigenvalue problems
dc.subjectDiscontinuous
dc.titleDISCONTINUOUS GALERKIN METHODS FOR THE ACOUSTIC VIBRATION PROBLEM
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIÓN
ubb.SedeCONCEPCIÓN
Archivos