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- W3188468141 abstract "In this paper, we present an arbitrary-order discontinuous Galerkin finite element discretization of the SN transport equation on 3D extruded polygonal prisms. Basis functions are formed by the tensor product of 2D polygonal Bernstein–Bézier functions and 1D Lagrange polynomials. For a polynomial degree p, these functions span {xayb}(a+b)≤p⊗{zc}c∈(0,p) with a dimension of np(p+1)+(p+1)(p−1)(p−2)/2 on an extruded n-gon. Numerical tests confirm that the functions capture exactly monomial solutions, achieve expected convergence rates, and provide full resolution in the thick diffusion limit." @default.
- W3188468141 created "2021-08-16" @default.
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- W3188468141 date "2021-07-31" @default.
- W3188468141 modified "2023-09-25" @default.
- W3188468141 title "Arbitrary-Order Bernstein–Bézier Functions for DGFEM Transport on 3D Polygonal Grids" @default.
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- W3188468141 doi "https://doi.org/10.3390/jne2030022" @default.
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