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Creators/Authors contains: "Sung, Li-yeng"

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  1. ; (, Computational Methods in Applied Mathematics)
    Abstract We develop a convergence analysis for the simplest finite element method for a model linear-quadratic elliptic distributed optimal control problem with pointwise control and state constraints under minimal assumptions on the constraint functions.We then derive the generalized Karush–Kuhn–Tucker conditions for the solution of the optimal control problem from the convergence results of the finite element method and the Karush–Kuhn–Tucker conditions for the solutions of the discrete problems. 
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    Free, publicly-accessible full text available February 16, 2026
  2. ; (, Results in Applied Mathematics)
    Free, publicly-accessible full text available February 1, 2026
  3. ; (, Beijing Journal of Pure and Applied Mathematics)
    Free, publicly-accessible full text available January 1, 2026
  4. ; ; ; (, Communications of the American Mathematical Society)
    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 R 2 {\mathbb {R}}^2 . It is based on an isoparametric C 0 C^0 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. 
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  5. ; ; (, Journal of Scientific Computing)
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  6. ; ; (, Journal of Scientific Computing)
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  7. ; ; (, Comptes Rendus. Mécanique)
    A nonlinear least-squares finite element method for strong solutions of the Dirichlet boundary value problem of a two-dimensional Pucci equation on convex polygonal domains is investigated in this paper. We obtain a priori and a posteriori error estimates and present corroborating numerical results, where the discrete nonsmooth and nonlinear optimization problems are solved by an active set method and an alternating direction method with multipliers. 
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  8. ; ; ; (, Computers & Mathematics with Applications)
    We consider C0 interior penalty methods for a linear-quadratic elliptic distributed optimal control problem with pointwise state constraints in two spatial dimensions, where the cost function tracks the state at points, curves and regions of the domain. Error estimates and numerical results that illustrate the performance of the methods are presented. 
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  9. ; ; (, East Asian Journal on Applied Mathematics)
    We present an adaptive nonlinear least-squares finite element method for a two dimensional Pucci equation. The efficiency of the method is demonstrated by a numerical experiment. 
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  10. ; ; (, Springer)
    Accepted Manuscript Full Text Available