A CHARACTERIZATION OF SECOND-ORDER DIFFERENTIAL OPERATORS ON FINITE ELEMENT SPACES

DOI10.1142/S0218202504003854zbMath1076.83008MaRDI QIDQ4678336

Snorre H. Christiansen

Publication date: 23 May 2005

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

finite elementsdifferential formssimplicial complexRegge calculus

Mathematics Subject Classification ID

Lattice gravity, Regge calculus and other discrete methods in general relativity and gravitational theory (83C27) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Partial differential equations on manifolds; differential operators (58J99) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Applications to the sciences (65Z05)

Related Items (7)

Complexes of discrete distributional differential forms and their homology theory ⋮ Analysis of curvature approximations via covariant curl and incompatibility for Regge metrics ⋮ A CONSTRUCTION OF SPACES OF COMPATIBLE DIFFERENTIAL FORMS ON CELLULAR COMPLEXES ⋮ Finite element systems for vector bundles: elasticity and curvature ⋮ On the linearization of Regge calculus ⋮ Avoiding membrane locking with Regge interpolation ⋮ A simplicial gauge theory

Cites Work

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• Mixed finite elements in \(\mathbb{R}^3\)
• Parallelizable implicit evolution scheme for Regge calculus
• The electric field integral equation on Lipschitz screens: definitions and numerical approximation
• Mixed finite elements for elasticity
• Regge calculus: A unique tool for numerical relativity
• On the curvature of piecewise flat spaces
• Error-bounds for finite element method
• Discrete structures in gravity
• Numerical relativity: a review
• Mixed and Hybrid Finite Element Methods
• Canonical construction of finite elements
• Finite Element Methods for Maxwell's Equations
• A note on the de Rham complex and a discrete compactness property

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