Field theories: reduction, constraints and variational integrators

DOI10.1007/s13398-011-0020-zzbMath1260.58009OpenAlexW2068107713MaRDI QIDQ1935049

Marco Castrillón López

Publication date: 30 January 2013

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-011-0020-z

zbMATH Keywords

symmetrydiscretizationvariational calculusreductionconstraintjet space

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50) Connections (general theory) (53C05)

Related Items (3)

Discrete Lagrange problems with constraints valued in a Lie group ⋮ Discrete formulation for the dynamics of rods deforming in space ⋮ The problem of Lagrange in discrete field theory

Cites Work

• Discrete versions of some classical integrable systems and factorization of matrix polynomials
• Multisymplectic geometry, variational integrators, and nonlinear PDEs
• Some remarks on Lagrangian and Poisson reduction for field theories.
• Euler-Poincaré reduction for discrete field theories
• The geometry of the bundle of connections
• Euler-Poincaré reduction on principal bundles
• Unnamed Item

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