A new hybrid high-order method for the biharmonic problem with additional submanifold degrees of freedom enabling higher-order lower eigenvalue bounds and reliable a posteriori error estimates.
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Quasi-optimal and lower-order error estimates are established for WG, DG, and HHO methods for the biharmonic equation on polytopal meshes with minimal regularity, plus efficient stabilization in a posteriori estimators.
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A hybrid high-order method for the biharmonic problem
A new hybrid high-order method for the biharmonic problem with additional submanifold degrees of freedom enabling higher-order lower eigenvalue bounds and reliable a posteriori error estimates.
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Quasi-optimal polytopal finite element methods for biharmonic equation
Quasi-optimal and lower-order error estimates are established for WG, DG, and HHO methods for the biharmonic equation on polytopal meshes with minimal regularity, plus efficient stabilization in a posteriori estimators.