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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.
Cited literature [17 references]
https://hal.inria.fr/hal-02271808
Contributor : Angelos Mantzaflaris Connect in order to contact the contributor
Submitted on : Tuesday, August 27, 2019 - 11:48:53 AM
Last modification on : Friday, February 4, 2022 - 3:20:08 AM
Contributor : Angelos Mantzaflaris Connect in order to contact the contributor
Submitted on : Tuesday, August 27, 2019 - 11:48:53 AM
Last modification on : Friday, February 4, 2022 - 3:20:08 AM
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