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Numerical analysis of oscillations in two wells problems. (English) Zbl 0784.65057
Chipot, M. (ed.) et al., Progress in partial differential equations: the Metz surveys. Papers from the ‘Metz days’ conferences, held in Metz, France, during 1989-1990. Harlow: Longman Scientific & Technical. Pitman Res. Notes Math. Ser. 249, 131-145 (1991).
The goal of this note is to explain, in a simple case, new techniques developed recently regarding the numerical analysis of nonconvex problems. In general such problems fail to have a minimizer. However, minimizing sequences tend to organize themselves according, for instance, to the position with respect to the wells of the boundary data that has to be matched. Such a physical situation is encountered for instances in the theory of hyperelasticity for structured materials as crystals.
For the entire collection see [Zbl 0771.00023].

65K05 Numerical mathematical programming methods
90C30 Nonlinear programming