Modelling thin tissue compartiments using the immersed FEM (continuous Galerkin)

Abstract : This presentation describes a trilinear immersed finite element method for solving the electroencephalography forward problem, which is a three-dimensional elliptic interface problem in the head geometry. The method uses hexahedral Cartesian meshes (i.e. 3D images which can be explored using standard visualization tools for MR images) independent of the interfaces between head tissues, thus avoiding the sometimes difficult task of generating geometry fitting meshes (which is exacerbated for child brains which contains close interfaces requiring a very high number of elements to obtain numerically good mesh representations). Brain interfaces are provided as level sets representations, which are also 3D images. Such levelset representations can directly be used in head segmentation tools but can be also easily obtained from meshes. The finite element space is locally modified to better approximating the continuity properties of the solution (continuous potential and normal currents despite a discontinuity of the conductivity). Numerical results show that this method achieves the same accuracy as the standard linear finite element method with geometry fitting meshes without the hassle of creating meshes for the complex domain that is the head.
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https://hal.inria.fr/hal-01412820
Contributor : Théodore Papadopoulo <>
Submitted on : Thursday, December 8, 2016 - 6:57:58 PM
Last modification on : Thursday, January 11, 2018 - 4:54:48 PM
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Théo Papadopoulo. Modelling thin tissue compartiments using the immersed FEM (continuous Galerkin). Biomag 2016 - 20th International Conference on Biomagnetism, Oct 2016, Seoul, South Korea. ⟨hal-01412820⟩

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