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Paszyński, M., Pardo, D., Torres-Verdin, C., Demkowicz, L. and Calo, V. (2010) A Parallel Direct Solver for the Self-Adaptive hp Finite Element Method. Journal of Parallel and Distributed Computing, 70, 270-281. http://dx.doi.org/10.1016/j.jpdc.2009.09.007

has been cited by the following article:

• 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.