BYU

Abstract by Elizabeth Melville

Personal Infomation


Presenter's Name

Elizabeth Melville

Co-Presenters

Cameron Hernandez

Degree Level

Undergraduate

Co-Authors

Cameron Hernandez

Abstract Infomation


Department

Mathematics

Faculty Advisor

Vianey Villamizar

Title

Isogeometric Analysis MATLAB Implementation

Abstract

We demonstrate an isogeometric analysis of the one-dimensional Helmholtz equation. A fictitious boundary is used to truncate the infinite domain and an elementary absorbing boundary condition is applied to simulate infinity. This boundary condition allows the wave to be an outgoing wave at the right end (exact nonreflecting condition). Therefore, there is no error due to the boundary approximation, and the reported error is an indicator of the performance of the isogeometric analysis technique. Numerical results performed with high-order basis functions (third or fourth orders) showed visibly accurate results even for very high frequencies. This property combined with exact geometrical representation makes isogeometric analysis a very promising platform to solve high-frequency acoustic problems.