Publication: Approximation of infima in the calculus of variations
Approximation of infima in the calculus of variations
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Brighi, B., & Chipot, M. (1998). Approximation of infima in the calculus of variations. Journal of Computational and Applied Mathematics, 98(2), 273–287. https://doi.org/10.1016/S0377-0427(98)00112-5
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The goal of this paper is to give numerical estimates for some problems of the Calculus of Variations in the nonhomogeneous scalar case. The stored energy function considered is then a function φ:Ω × ℝn → ℝ. We try to compare the infimum of the energy defined by φ on a Sobolev space, with the infimum of the same energy on a finite element space, in terms of the mesh size. © 1998 Elsevier Science B.V. All rights reserved.
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Brighi, B., & Chipot, M. (1998). Approximation of infima in the calculus of variations. Journal of Computational and Applied Mathematics, 98(2), 273–287. https://doi.org/10.1016/S0377-0427(98)00112-5