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

Abstract : 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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https://hal.inria.fr/hal-02271808
Contributor : Angelos Mantzaflaris <>
Submitted on : Tuesday, August 27, 2019 - 11:48:53 AM
Last modification on : Thursday, November 26, 2020 - 3:50:03 PM

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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, De Gruyter, 2019, 19 (1), pp.123-136. ⟨10.1515/cmam-2018-0024⟩. ⟨hal-02271808⟩

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