10 citations · 14 across the 6 of their papers we have counts for
6 papers
A velocity-based moving mesh Discontinuous Galerkin method for the advection-diffusion equation
Ezra Rozier, Jörn Behrens
In convection-dominated flows, robustness of the spatial discretisation is a key property. While Interior Penalty Galerkin (IPG) methods already proved efficient in the situation o…
A structure-preserving approximation of the discrete split rotating shallow water equations
Werner Bauer, Jörn Behrens, Colin J. Cotter
We introduce an efficient split finite element (FE) discretization of a y-independent (slice) model of the rotating shallow water equations. The study of this slice model provides…
Semi-Lagrangian Subgrid Reconstruction for Advection-Dominant Multiscale Problems
Konrad Simon, Jörn Behrens
We introduce a new framework of numerical multiscale methods for advection-dominated problems motivated by climate sciences. Current numerical multiscale methods (MsFEM) work well…
Multiscale finite elements through advection-induced coordinates for transient advection-diffusion equations
Konrad Simon, Jörn Behrens
Long simulation times in climate sciences typically require coarse grids due to computational constraints. Nonetheless, unresolved subscale information significantly influences the…
A well-balanced meshless tsunami propagation and inundation model
Rüdiger Brecht, Alexander Bihlo, Scott MacLachlan +1
We present a novel meshless tsunami propagation and inundation model. We discretize the nonlinear shallow-water equations using a well-balanced scheme relying on radial basis funct…
A structure-preserving split finite element discretization of the split 1D wave equations
Werner Bauer, Jörn Behrens
We introduce a new finite element (FE) discretization framework applicable for covariant split equations. The introduction of additional differential forms (DF) that form pairs wit…