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

Felix Scholz MSc

Feb. 6, 2018, 2:30 p.m. S2 416-1

In this talk, I 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 $\mathbb R^{d+1}$, 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.