From a Nonlinear, Nonconvex Variational Problem to a Linear, Convex Formulation

Journal Article · Thu Dec 19 00:00:00 EST 2002 · Applied Mathematics and Optimization

DOI:https://doi.org/10.1007/S00245-002-0738-2· OSTI ID:21067478

Egozcue, J. ^[1]; Meziat, R. ^[2]; Pedregal, P. ^[3]

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1. ETS d'Enginyers de Camins, Canals i Ports, Gran Capita, s/n, 08034 Barcelona (Spain), E-mail: [e-mail]
2. ETI Telecomunicaciones, Universidad de Castilla-La Mancha, 16071 Cuenca (Spain) and Departamento de Matematicas, Universidad de los Andes, Carrera 1, N 18A-10 Bogota (Colombia), E-mail: [e-mail]
3. ETSI Industriales, Universidad de Castilla-La Mancha, 13071 Ciudad Real (Spain), E-mail: [e-mail]

We propose a general approach to deal with nonlinear, nonconvex variational problems based on a reformulation of the problem resulting in an optimization problem with linear cost functional and convex constraints. As a first step we explicitly explore these ideas to some one-dimensional variational problems and obtain specific conclusions of an analytical and numerical nature.

• OSTI ID: 21067478
• Journal Information: Applied Mathematics and Optimization, Vol. 47, Issue 1; Other Information: DOI: 10.1007/s00245-002-0738-2; Copyright (c) 2002 Springer-Verlag New York Inc.; Article Copyright (c) Inc. 2002 Springer-Verlag New York; Country of input: International Atomic Energy Agency (IAEA); ISSN 0095-4616
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
NONLINEAR PROBLEMS
ONE-DIMENSIONAL CALCULATIONS
OPTIMIZATION
VARIATIONAL METHODS