We present a technique to construct diagonal material matrices for arbitrary triangular and tetrahedral meshes and arbitrary scalar material parameters. The recipe is based on a novel dual complex called folded Voronoï diagram. The proposed matrices are tailored to enable the use of a complementary-dual formulation for Poisson problems featuring one unknown per element.

Diagonal material matrices for arbitrary simplicial meshes for solving poisson problems with one unknown per element

Bellina F.;Specogna R.
2020-01-01

Abstract

We present a technique to construct diagonal material matrices for arbitrary triangular and tetrahedral meshes and arbitrary scalar material parameters. The recipe is based on a novel dual complex called folded Voronoï diagram. The proposed matrices are tailored to enable the use of a complementary-dual formulation for Poisson problems featuring one unknown per element.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11390/1174720
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