Article Dans Une Revue Computational Methods in Applied Mathematics Année : 2019

Low-rank space-time decoupled isogeometric analysis for parabolic problems with varying coefficients

Résumé

In this paper we present a space-time isogeometric analysis scheme for the discretization of parabolic evolution equations with diffusion coefficients depending on both time and space variables. The problem is considered in a space-time cylinder in R +1 , with = 2, 3 and is discretized using higher-order and highly-smooth spline spaces. This makes the matrix formation task very challenging from a computational point of view. We overcome this problem by introducing a low-rank decoupling of the operator into space and time components. Numerical experiments demonstrate the efficiency of this approach.

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hal-02271808 , version 1 (27-08-2019)

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Angelos Mantzaflaris, Felix Scholz, Ioannis Toulopoulos. Low-rank space-time decoupled isogeometric analysis for parabolic problems with varying coefficients. Computational Methods in Applied Mathematics, 2019, 19 (1), pp.123-136. ⟨10.1515/cmam-2018-0024⟩. ⟨hal-02271808⟩
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