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Free, publicly-accessible full text available January 1, 2026
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We construct a nonlinear least-squares finite element method for computing the smooth convex solutions of the Dirichlet boundary value problem of the Monge-Ampère equation on strictly convex smooth domains in . It is based on an isoparametric finite element space with exotic degrees of freedom that can enforce the convexity of the approximate solutions.A priorianda posteriorierror estimates together with corroborating numerical results are presented.more » « less
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Free, publicly-accessible full text available October 10, 2025