Published January 1, 2019 | Version v1
Journal article

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

Description

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.

Abstract

International audience

Additional details

Identifiers

URL
https://hal.inria.fr/hal-02271808
URN
urn:oai:HAL:hal-02271808v1