Averaging property of wedge product and naturality in discrete exterior calculus
DOI10.1007/s10444-024-10179-8MaRDI QIDQ6607031
Daniel Berwick-Evans, Anil N. Hirani, Mark D. Schubel
Publication date: 17 September 2024
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
nonlinearitypartial differential equationsmorphismschain rulediscrete differential formspullbackWhitney formssimplicial cochains
Differential forms in global analysis (58A10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Relations of manifolds and cell complexes with engineering (57Z20) Applications of differential geometry to engineering (53Z30)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Discrete exterior calculus discretization of incompressible Navier-Stokes equations over surface simplicial meshes
- Cochain algebra on manifolds and convergence under refinement
- An \(A_{\infty}\) structure on simplicial complexes
- A semi-local combinatorial formula for the signature of a 4kmanifold
- Curvature and characteristic classes
- Infinitesimal computations in topology
- A mass, energy, enstrophy and vorticity conserving (MEEVC) mimetic spectral element discretization for the 2D incompressible Navier-Stokes equations
- Mixed finite elements for elasticity
- Whitney forms and their extensions
- Infinity structure of Poincaré duality spaces. With an appendix by Dennis Sullivan
- An introduction to manifolds. 2nd revised ed.
- Introduction to Topological Manifolds
- Finite element exterior calculus: from Hodge theory to numerical stability
- Mixed finite element methods for linear elasticity with weakly imposed symmetry
- Finite-Difference Approach to the Hodge Theory of Harmonic Forms
- Canonical construction of finite elements
- Discrete Exterior Calculus (DEC) for the Surface Navier-Stokes Equation
- Combinatorial and continuous Hodge theories
- Discrete exterior calculus discretization of two-phase incompressible Navier-Stokes equations with a conservative phase field method
- Numerical Method for Darcy Flow Derived Using Discrete Exterior Calculus
This page was built for publication: Averaging property of wedge product and naturality in discrete exterior calculus