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math.NA2024★ 1 cited
Isoparametric Virtual Element Methods
Andrea Cangiani, Andreas Dedner, Matthew Hubbard +1
We present two approaches to constructing isoparametric Virtual Element Methods of arbitrary order for linear elliptic partial differential equations on general two-dimensional dom…
math.NA2023★ 5 cited
Efficient High-Order Space-Angle-Energy Polytopic Discontinuous Galerkin Finite Element Methods for Linear Boltzmann Transport
Paul Houston, Matthew E. Hubbard, Thomas J. Radley +2
We introduce an -version discontinuous Galerkin finite element method (DGFEM) for the linear Boltzmann transport problem. A key feature of this new method is that, while offeri…