Space-time hybridizable discontinuous Galerkin method for advection-diffusion on deforming domains: The advection-dominated regime

2023/08/23 by Wang, Yuan, Rhebergen, Sander
#FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.2308.12130

Abstract

We analyze a space-time hybridizable discontinuous Galerkin method to solve the time-dependent advection-diffusion equation on deforming domains. We prove stability of the discretization in the advection-dominated regime by using weighted test functions and derive a priori space-time error estimates. A numerical example illustrates the theoretical results.

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