Differential forms for scientists and engineers

DOI10.1016/j.jcp.2013.08.007zbMath1351.53001OpenAlexW2001069296MaRDI QIDQ727641

J. Blair Perot, Christopher J. Zusi

Publication date: 20 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2013.08.007

Mathematics Subject Classification ID

Integral geometry (53C65) Differential forms in global analysis (58A10) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to global analysis (58-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to differential geometry (53-01)

Related Items (14)

A mimetic method for polygons ⋮ A method for generating moving, orthogonal, area preserving polygonal meshes ⋮ Conservative interpolation of edge and face data on \(n\) dimensional structured grids using differential forms ⋮ Efficient Time Integration of Maxwell's Equations with Generalized Finite Differences ⋮ Qualitative analysis of very weak solutions to Dirac-harmonic equations ⋮ Discrete exterior calculus approach for discretizing Maxwell's equations on face-centered cubic grids for FDTD ⋮ A quasi-Hamiltonian discretization of the thermal shallow water equations ⋮ Collocated electrodynamic FDTD schemes using overlapping Yee grids and higher-order Hodge duals ⋮ Discrete exterior calculus discretization of two-phase incompressible Navier-Stokes equations with a conservative phase field method ⋮ A fractional-step method for steady-state flow ⋮ Commutators of operators in Musielak-Orlicz-Morrey spaces on differential forms ⋮ Supraconservative Finite-Volume Methods for the Euler Equations of Subsonic Compressible Flow ⋮ The higher integrability of commutators of Calderón-Zygmund singular integral operators on differential forms ⋮ Discrete exterior calculus discretization of incompressible Navier-Stokes equations over surface simplicial meshes

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