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/

Zendy Plus

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

Zendy Tools

Zendy Open

We propose a model reduction procedure for rapid and reliable solution ofparameterized hyperbolic partial differential equations. Due to the presence ofparameter-dependent shock waves and contact discontinuities, these problems areextremely challenging for traditional model reduction approaches based onlinear approximation spaces. The main ingredients of the proposed approach are(i) an adaptive space-time registration-based data compression procedure toalign local features in a fixed reference domain, (ii) a space-timePetrov-Galerkin (minimum residual) formulation for the computation of themapped solution, and (iii) a hyper-reduction procedure to speed up onlinecomputations. We present numerical results for a Burgers model problem and ashallow water model problem, to empirically demonstrate the potential of themethod.

Space-time registration-based model reduction of parameterized one-dimensional hyperbolic PDEs