HDG discretizations of diffusion are positivity preserving when element angles are nonobtuse or the stabilization penalty is large enough, with explicit counterexamples for variants that fail.
A nodally bound- preserving finite element method
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On positivity preservation of hybrid discontinuous Galerkin methods on hypergraphs
HDG discretizations of diffusion are positivity preserving when element angles are nonobtuse or the stabilization penalty is large enough, with explicit counterexamples for variants that fail.