On the linearization of Regge calculus

DOI10.1007/s00211-011-0394-zzbMath1269.83022arXiv1106.4266OpenAlexW2100999330MaRDI QIDQ652259

Snorre H. Christiansen

Publication date: 14 December 2011

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.4266

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Lattice gravity, Regge calculus and other discrete methods in general relativity and gravitational theory (83C27) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Gravitational energy and conservation laws; groups of motions (83C40) Asymptotic procedures (radiation, news functions, (mathcal{H} )-spaces, etc.) in general relativity and gravitational theory (83C30) Initial value problems for second-order hyperbolic equations (35L15) Computational methods for problems pertaining to relativity and gravitational theory (83-08) Approximation procedures, weak fields in general relativity and gravitational theory (83C25)

Related Items (13)

Complexes of discrete distributional differential forms and their homology theory ⋮ Finite Elements for div- and divdiv-Conforming Symmetric Tensors in Arbitrary Dimension ⋮ A finite element elasticity complex in three dimensions ⋮ Compatible finite element methods for geophysical fluid dynamics ⋮ Analysis of curvature approximations via covariant curl and incompatibility for Regge metrics ⋮ Hilbert complexes: analysis, applications, and discretizations. Abstracts from the workshop held June 19--25, 2022 ⋮ On eigenmode approximation for Dirac equations: Differential forms and fractional Sobolev spaces ⋮ High-Order Approximation of Gaussian Curvature with Regge Finite Elements ⋮ A discrete elasticity complex on three-dimensional Alfeld splits ⋮ Finite element systems for vector bundles: elasticity and curvature ⋮ Three-field mixed finite element methods for nonlinear elasticity ⋮ Avoiding membrane locking with Regge interpolation ⋮ A simplicial gauge theory

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