Abstract
The purpose of this work is to carry out the analysis of two-dimensional scalar variational problems by the method of moments. This method is indeed shown to be useful for treating general cases in which the Lagrangian is a separable polynomial in the derivative variables. In these cases, it follows that the discretization of these problems can be reduced to a single large scale semidefinite program.
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Meziat, R. (2005). Analysis of Two Dimensional Nonconvex Variational Problems. In: Qi, L., Teo, K., Yang, X. (eds) Optimization and Control with Applications. Applied Optimization, vol 96. Springer, Boston, MA. https://doi.org/10.1007/0-387-24255-4_18
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DOI: https://doi.org/10.1007/0-387-24255-4_18
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-387-24254-5
Online ISBN: 978-0-387-24255-2
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