Graph grammar for three dimensional multiphysics adaptive finite element method simulations

Anna Paszyńska¹, Maciej Paszyński²

¹Jagiellonian University, Faculty of Physics, Astronomy and Applied Computer Science, Reymonta 4, 30-059, Krakow, Poland.
²AGH University of Science and Technology, Faculty of Computer Science, Electronics and Telecommunication, Department of Computer Science al. A. Mickiewicza 30, 30-059 Krakow, Poland.

DOI:

https://doi.org/10.7494/cmms.2013.1.0404

Abstract:

In this paper we present an application of graph grammar for modelling a three dimensional hp adaptive finite element method for multi-physics simulations. The graph grammar model involves the process of generation of the mesh with tetrahedral finite elements, the process of mesh adaptation by means of h refinement as well as interfacing with the multi-frontal solver algorithm by translating the finite elements into a sequence of frontal matrices, being an input for the multi-frontal solver algorithm. The paper is concluded with numerical results concerning an advanced multi-physics problems, the propagation of an acoustic waves over the model of the human head.

Cite as:

Paszyńska, A., & Paszyński, M. (2013). Graph grammar for three dimensional multiphysics adaptive finite element method simulations. Computer Methods in Materials Science, 13(1), 9 – 15. https://doi.org/10.7494/cmms.2013.1.0404

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