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Symmetric Positive-Definite Constitutive Matrices for Discrete Eddy-Current Problems

机译:Symmetric Positive-Definite Constitutive Matrices for Discrete Eddy-Current Problems

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摘要

We examine the construction of a symmetric positive definite conductance matrix for eddy-current problems, using a discrete approach. We construct a new set of piecewise uniform basis vector functions on both the primal and the dual complex. We define these vector functions for both tetrahedra and prisms. IN discrete approaches for eddy-current problems, the conductance matrix can be constructed geometrically according to different techniques proposed in 5 or in 9, but it is nonsymmetric. This fact leads to nonsymmetric stiffness matrices when solving the eddy-current problems. Moreover, these techniques hold only for the case of tetrahedra as primal volumes.

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