Introduces a conforming liftings framework that bridges virtual-function and fully discrete convergence analysis techniques for polytopal methods and demonstrates it on a model problem while linking to discrete differential complexes.
Finite element exterior calculus, homological tech- niques, and applications
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Proves an inf-sup stability estimate for a penalty-free asymmetric Nitsche method with Nédélec edge elements under an isolated patch condition on tetrahedral meshes.
Matching-based AMG preconditioners deliver robust and scalable performance for solving large ill-conditioned systems from IgA discretizations in parallel HPC settings.
citing papers explorer
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Key challenges and bridges among convergence analysis techniques for polytopal methods
Introduces a conforming liftings framework that bridges virtual-function and fully discrete convergence analysis techniques for polytopal methods and demonstrates it on a model problem while linking to discrete differential complexes.
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A Penalty-Free Asymmetric Nitsche's Method for Edge Elements
Proves an inf-sup stability estimate for a penalty-free asymmetric Nitsche method with Nédélec edge elements under an isolated patch condition on tetrahedral meshes.
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Parallel matching-based AMG preconditioners for elliptic equations discretized by IgA
Matching-based AMG preconditioners deliver robust and scalable performance for solving large ill-conditioned systems from IgA discretizations in parallel HPC settings.