TITLE:
Finite Element Method Computations of the Acoustics of the Human Head Based on the Projection Based Interpolation Data
AUTHORS:
Marcin Sieniek, Piotr Gurgul, Maciej Paszyński
KEYWORDS:
Finite Element Method, Projection Based Interpolation, Acoustics of the Human Head
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.2 No.12,
November
25,
2014
ABSTRACT: In this paper we present the Projection
Based Interpolation (PBI) technique for construction of continuous approximation
of MRI scan data of the human head. We utilize the result of the PBI algorithm
to perform three dimensional (3D) Finite Element Method (FEM) simulations of
the acoustics of the human head. The computational problem is a multi-physics
problem modeled as acoustics coupled with linear elasticity. The computational
grid contains tetrahedral finite elements with the number of equations and
polynomial orders of approximation varying locally on finite element edges,
faces, and interiors. We utilize our own out-of-core parallel direct solver for
the solution of this multi-physics problem. The solver minimizes the memory
usage by dumping out all local systems from all nodes of the entire elimination
tree during the elimination phase.