Efficient space‐time adaptivity for parabolic evolution equations using wavelets in time and finite elements in space

Considering the space-time adaptive method for parabolic evolution equations we introduced in Stevenson et al., this work discusses an implementation of which every step is linear complexity. Exploiting tensor-product structure cylinder, allows a family trial spaces given as spans wavelets-in-time tensorized with finite element spaces-in-space. On whose bases are indexed by double-trees, derive algorithm that applies resulting bilinear forms We provide extensive numerical experiments to demonstrate runtime loop.