Hybrid high-order methods for the wave equation on unfitted meshes

Abstract: We design and analyze an unfitted hybrid high-order (HHO) method for the acoustic wave equation. The wave propagates in a domain where a curved interface separates subdomains with different material properties. The key feature of the space discretization method is that the interface can cut more or less arbitrarily through the mesh cells. We address both the second-order formulation in time of the wave equation and its reformulation as a first-order system. For explicit time-stepping schemes, we study the CFL condition and observe that the unfitted approach combined with local cell agglomeration leads to a comparable condition as when using fitted meshes.

computational engineering, finance, and sciencemathematical softwarenumerical analysiscomputational physics

Audience: researchers in the topic

Australian Seminar on Computational Mathematics

Series comments: This seminar includes talks in computational mathematics with an Australian time zone friendly schedule. If you want to receive email alerts announcing new talks, you can subscribe to the mailing list in the seminar webpage www.mocao.org/cm-webinar or just add the seminar calendar to yours with the links below