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Optimal-Order Error Estimates for the Finite Element Approximation of the Solution of a Nonconvex Variational Problem
Nonconvex variational problems arise in models for the equilibria of crystals and other ordered materials.The solution of these variational problems must be described in terms of a microstructure rather than in terms of a deformation.Moreover, the numerical approximation of the deformation gradient often does not converge strongly as the mesh …