Adaptive multiresolution simulation of waves in electrocardiology

Raimund Bürger, Ricardo Ruiz Baier

Research output: Chapter in Book/Report/Conference proceedingConference PaperResearch


A new fully adaptive multiresolution method is applied for the simulation of the complex dynamics of waves in excitable media in electrocardiology, where the membrane kinetics are given by the Aliev–Panfilov or Luo–Rudy II models. Numerical experiments show that the automatical adaptation strategy tracks the spatio-temporal pattern accurately at a substantially reduced computational cost if compared with fine-grid simulations. The nonlinear dynamics of complex multiscale patterns can thus be computed efficiently, also in the chaotic and turbulent regime which are currently beyond the frontiers of methods using regular discretizations.
Original languageEnglish
Title of host publicationNumerical Mathematics and Advanced Applications 2009
Subtitle of host publicationProceedings of ENUMATH 2009, the 8th European Conference on Numerical Mathematics and Advanced Applications, Uppsala, July 2009
EditorsG Kreiss, P Lötstedt, A Målqvist, M Neytcheva
Place of PublicationHeidelberg Germany
Number of pages9
ISBN (Electronic)9783642117954
ISBN (Print)9783642117947
Publication statusPublished - 2010
Externally publishedYes

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