Develops and analyzes hypocoercivity-preserving C0-IP finite-element methods in space with hp-DG time stepping for kinetic Fokker-Planck equations on R^d x R^d, proving exponential decay via weighted Poincare inequalities and new trace estimates.
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2 Pith papers cite this work. Polarity classification is still indexing.
fields
math.NA 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
A Nitsche-based nonconforming hp-FE/BE coupling on unstructured non-matching meshes is shown to be stable above an explicit threshold with a priori error estimates for quasi-uniform and geometrically refined discretizations.
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Hypocoercivity-preserving space-time Galerkin methods for kinetic Fokker-Planck equations
Develops and analyzes hypocoercivity-preserving C0-IP finite-element methods in space with hp-DG time stepping for kinetic Fokker-Planck equations on R^d x R^d, proving exponential decay via weighted Poincare inequalities and new trace estimates.
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Nonconforming $hp$-FE/BE coupling on unstructured meshes based on Nitsche's method
A Nitsche-based nonconforming hp-FE/BE coupling on unstructured non-matching meshes is shown to be stable above an explicit threshold with a priori error estimates for quasi-uniform and geometrically refined discretizations.