Generalized finite difference schemes with higher order Whitney forms

DOI10.1051/m2an/2021026OpenAlexW3165217059WikidataQ109297102 ScholiaQ109297102MaRDI QIDQ5074377

Sanna Mönkölä, Tuomo Rossi, Jonni Lohi, L. Kettunen, Jukka Räbinä

Publication date: 9 May 2022

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/2021026

zbMATH Keywords

elasticityfinite difference methoddifferential formsdifferential geometryelectromagnetismWhitney formsvector-valued formsco-vector valued forms

Mathematics Subject Classification ID

Related Items (4)

Unisolvent and minimal physical degrees of freedom for the second family of polynomial differential forms ⋮ Hilbert complexes: analysis, applications, and discretizations. Abstracts from the workshop held June 19--25, 2022 ⋮ New degrees of freedom for differential forms on cubical meshes ⋮ Systematic implementation of higher order Whitney forms in methods based on discrete exterior calculus

Cites Work

• Cauchy's theorem on manifolds
• The mathematical structure of classical and relativistic physics. A general classification diagram
• On the geometric character of stress in continuum mechanics
• On geometric discretization of elasticity
• Whitney Forms of Higher Degree
• Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
• Yee-like schemes on a tetrahedral mesh, with diagonal lumping
• Generalized wave propagation problems and discrete exterior calculus
• Lattice electromagnetic theory from a topological viewpoint
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