Whitney edge elements and the Runge phenomenon

DOI10.1016/j.cam.2023.115117zbMath1512.65256MaRDI QIDQ6099502

Ana M. Alonso Rodriguez, Ludovico Bruni Bruno, Francesca Rapetti

Publication date: 20 June 2023

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

interpolationweightsdifferential formsedge elementsRunge phenomenon

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical interpolation (65D05)

Cites Work

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• A comparison of interpolation grids over the triangle or the tetrahedron
• The Lebesgue constant for Lagrange interpolation in the simplex
• Mixed finite elements in \(\mathbb{R}^3\)
• Continuity of the integral as a function of the domain
• Towards nonuniform distributions of unisolvent weights for high-order Whitney edge elements
• On a generalization of the Lebesgue's constant
• Finite element exterior calculus, homological techniques, and applications
• Whitney Forms of Higher Degree
• From Electrostatics to Almost Optimal Nodal Sets for Polynomial Interpolation in a Simplex
• Finite Element Methods for Maxwell's Equations
• A Lobatto interpolation grid over the triangle
• Spectral Methods

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