Develops multigrid preconditioning for FEEC using mass-lumping and transforming smoothers, with stability proofs under mild assumptions and numerical tests on Hodge operators in 2D/3D.
Hiptmair, Operator preconditioning, Comput
2 Pith papers cite this work. Polarity classification is still indexing.
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math.NA 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Strong enforcement of symmetry in H(div)-conforming finite elements yields material-robust stress approximations independent of the constitutive law, whereas weak enforcement produces arbitrarily poor results even in zero-stress cases with anisotropic laws.
citing papers explorer
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Multigrid Preconditioning for FEEC using Mass-Lumping and Transforming Smoothers
Develops multigrid preconditioning for FEEC using mass-lumping and transforming smoothers, with stability proofs under mild assumptions and numerical tests on Hodge operators in 2D/3D.
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Achieving Material Robustness via Symmetric Stress Finite Element Discretizations
Strong enforcement of symmetry in H(div)-conforming finite elements yields material-robust stress approximations independent of the constitutive law, whereas weak enforcement produces arbitrarily poor results even in zero-stress cases with anisotropic laws.