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Low-Rank Space-Time Decoupled Isogeometric Analysis for Parabolic Problems with Varying Coefficients

Angelos Mantzaflaris ORCID logo, Felix Scholz ORCID logo and Ioannis Toulopoulos


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 d+1, with d=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.

Funding source: Austrian Science Fund

Award Identifier / Grant number: NFN S117

Funding statement: This work was supported by the Austrian Science Fund (FWF) under the grant NFN S117.


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Received: 2017-10-10
Revised: 2018-01-16
Accepted: 2018-05-02
Published Online: 2018-07-07
Published in Print: 2019-01-01

© 2018 Walter de Gruyter GmbH, Berlin/Boston