30 de mayo de 2023 a 2 de junio de 2023 Ciencias Naturales, Exactas y Ténicas
Facultad de Matemática y Computación
America/Havana zona horaria

ISOGEOMETRIC APPROACH FOR THE NUMERICAL SOLUTION OF HELMHOLTZ EQUATION IN INHOMOGENEOUS MEDIA

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20m
Facultad de Matemática y Computación

Facultad de Matemática y Computación

Ponente

Dr. Victoria Hernandez Mederos (ICIMAF)

Descripción

In this work we discuss the numerical solution of the 2D Helmholtz equation with mixed boundary conditions. Inspired by medical applications we consider that the wavenumber in Helmholtz equation is a function of the spatial distribution of different human tissues. This introduces several numerical difficulties in the computation of the approximated solution. To overcome these challenges, we solve the radiation problem using the Isogeometric Analysis, a kind of modern generalization of the classical Finite Element Method. Our results computed using the free software GeoPDEs, shows that the isogeometric approach is a good option to obtain a realistic simulation of the acoustic wave propagation in inhomogeneous media.

Keywords. Isogeometric analysis, Helmholtz equation, inhomogeneous media.

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