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An Optimal IPDG Scheme for the Biharmonic Equation

Zhang, Bohua et al.
arXiv (OAI Expanded) · Papers
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numerical-analysis
This paper presents an optimal interior penalty discontinuous Galerkin (IPDG) scheme for the planar biharmonic equation using piecewise polynomials of degree $k=3$ or $4$. In standard IPDG methods, large penalty parameters force the discrete solution into an overconstrained space, severely degrading
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