The chain collocation method: a spectrally accurate calculus of forms
From MaRDI portal
Publication:727639
DOI10.1016/j.jcp.2013.08.011zbMath1352.65574OpenAlexW2103834531WikidataQ59944654 ScholiaQ59944654MaRDI QIDQ727639
Gemma Mason, Dzhelil Rufat, Patrick Mullen, Mathieu Desbrun
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.2013.08.011
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical methods for partial differential equations, boundary value problems (65N99)
Related Items (5)
\(\Psi\text{ec}\): a local spectral exterior calculus ⋮ Spectral numerical exterior calculus methods for differential equations on radial manifolds ⋮ Collocated electrodynamic FDTD schemes using overlapping Yee grids and higher-order Hodge duals ⋮ Hydrodynamic flows on curved surfaces: spectral numerical methods for radial manifold shapes ⋮ Operator-adapted wavelets for finite-element differential forms
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Geometric variational crimes: Hilbert complexes, finite element exterior calculus, and problems on hypersurfaces
- Discrete Lie advection of differential forms
- Structure-preserving discretization of incompressible fluids
- Geometric, variational discretization of continuum theories
- Mixed finite elements in \(\mathbb{R}^3\)
- Manifolds, tensor analysis, and applications.
- A staggered-grid multidomain spectral method for the compressible Navier-Stokes equations
- A discrete vector calculus in tensor grids
- Accurate, high-order representation of complex three-dimensional surfaces via Fourier continuation analysis
- Compatible spatial discretizations. Papers presented at IMA hot topics workshop: compatible spatial discretizations for partial differential equations, Minneapolis, MN, USA, May 11--15, 2004.
- Differential forms. With applications to the physical sciences
- A Conservative Spectral Element Method for Curvilinear Domains
- Edge Functions for Spectral Element Methods
- Spectral Element Approximation of the Hodge-⋆ Operator in Curved Elements
- Finite element exterior calculus, homological techniques, and applications
- Finite element exterior calculus: from Hodge theory to numerical stability
- Discrete Calculus
- Covolume Solutions of Three-Dimensional Div-Curl Equations
- Spectral Methods in MATLAB
- Spectral Methods
This page was built for publication: The chain collocation method: a spectrally accurate calculus of forms
