Owner-selected Falk-Winther bubble transforms provide L2- and H1-stable, degree-preserving decompositions for variable-degree hp finite elements, enabling hp-uniform additive Schwarz preconditioners for conforming reaction-diffusion and fitted-interface problems.
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math.NA 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Constructs p-robust trace liftings on tetrahedral meshes for stable discrete harmonic extensions and boundary-preserving hp interpolation.
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Owner-selected bubble transforms and coefficient-robust Schwarz preconditioners for variable-degree $hp$ finite elements
Owner-selected Falk-Winther bubble transforms provide L2- and H1-stable, degree-preserving decompositions for variable-degree hp finite elements, enabling hp-uniform additive Schwarz preconditioners for conforming reaction-diffusion and fitted-interface problems.
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$p$-Robust Trace Liftings for Discrete Harmonic Extensions and Boundary-Preserving $hp$ Interpolation on Tetrahedral Meshes
Constructs p-robust trace liftings on tetrahedral meshes for stable discrete harmonic extensions and boundary-preserving hp interpolation.