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math.NA2026
Adaptive Sparse-grid Discontinuous Galerkin Approximations to the Bhatnagar--Gross--Krook Model
Stefan Schnake, Miroslav Stoyanov, Eirik Endeve +1
This work studies adaptive sparse-grid discontinuous Galerkin (DG) discretizations for the Bhatnagar--Gross--Krook (BGK) model, a kinetic equation posed in four- and six-dimensiona…
cs.CE2026
Sweep-based, implicit solutions of the multidimensional BGK equation on unstructured grids
Thomas M. Evans, Ryan Glasby, Cory Hauck +4
We present a nodal discontinuous Galerkin method for solving the Bhatnagar-Gross-Krook (BGK) kinetic equation on multi-dimensional, unstructured grids. The method uses implicit, sw…