English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We propose and investigate new robust preconditioners for space-timeIsogeometric Analysis of parabolic evolution problems. These preconditionersare based on a time parallel multigrid method. We consider a decomposition ofthe space-time cylinder into time-slabs which are coupled via a discontinuousGalerkin technique. The time-slabs provide the structure for the time-parallelmultigrid solver. The most important part of the multigrid method is thesmoother. We utilize the special structure of the involved operator to decoupleits application into several spatial problems by means of generalizedeigenvalue or Schur decompositions. Some of these problems have a symmetricsaddle point structure, for which we present robust preconditions. Finally, wepresent numerical experiments confirming the robustness of our space-time IgAsolver.

Robust Preconditioning for Space-Time Isogeometric Analysis of Parabolic Evolution Problems