21 citations · 32 across the 23 of their papers we have counts for
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Analysis of the multi-dimensional semi-discrete Active Flux method using the Fourier transform
Wasilij Barsukow, Janina Kern, Christian Klingenberg +1
The degrees of freedom of Active Flux are cell averages and point values along the cell boundaries. These latter are shared between neighbouring cells, which gives rise to a global…
Active flux methods for hyperbolic conservation laws -- flux vector splitting and bound-preservation
Junming Duan, Wasilij Barsukow, Christian Klingenberg
The active flux (AF) method is a compact high-order finite volume method that simultaneously evolves cell averages and point values at cell interfaces. Within the method of lines f…
A node-conservative vorticity-preserving Finite Volume method for linear acoustics on unstructured grids
Wasilij Barsukow, Raphaël Loubère, Pierre-Henri Maire
Instead of ensuring that fluxes across edges add up to zero, we split the edge in two halves and also associate different fluxes to each of its sides. This is possible due to non-s…
Structure preserving nodal continuous Finite Elements via Global Flux quadrature
Wasilij Barsukow, Mario Ricchiuto, Davide Torlo
Numerical methods for hyperbolic PDEs require stabilization. For linear acoustics, divergence-free vector fields should remain stationary, but classical Finite Difference methods a…
Active flux methods for hyperbolic conservation laws -- flux vector splitting and bound-preservation: Two-dimensional case
Junming Duan, Wasilij Barsukow, Christian Klingenberg
This paper studies the active flux (AF) methods for two-dimensional hyperbolic conservation laws, focusing on the flux vector splitting (FVS) for the point value update and bound-p…
Active flux methods for hyperbolic conservation laws -- flux vector splitting and bound-preservation: One-dimensional case
Junming Duan, Wasilij Barsukow, Christian Klingenberg
The active flux (AF) method is a compact high-order finite volume method that evolves cell averages and point values at cell interfaces independently. Within the method of lines fr…