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Creators/Authors contains: "Chen, Long"

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  1. ; ; ; (, Journal of Scientific Computing)
    Free, publicly-accessible full text available September 1, 2026
  2. ; ; (, Journal of Scientific Computing)
    Free, publicly-accessible full text available August 1, 2026
  3. ; ; (, SIAM Journal on Numerical Analysis)
    This paper addresses the challenge of constructing finite element curl div complexes in three dimensions. Tangential-normal continuity is introduced in order to develop distributional finite element curl div complexes. The spaces constructed are applied to discretize the quad curl problem, demonstrating optimal order of convergence. Furthermore, a hybridization technique is proposed, demonstrating its equivalence to nonconforming finite elements and weak Galerkin methods. 
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    Free, publicly-accessible full text available June 30, 2026
  4. ; ; (, Nanoscale)
    Coarse-grained MD simulations reveal that the crumpling behavior of graphene nanoribbons depends strongly on width and aspect ratio, leading to distinct deformation modes, structural ordering, and mechanical responses. 
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    Free, publicly-accessible full text available June 26, 2026
  5. ; ; (, Calphad)
    Free, publicly-accessible full text available June 1, 2026
  6. ; (, Mathematics of Computation)
    In the field of solving partial differential equations (PDEs), Hilbert complexes have become highly significant. Recent advances focus on creating new complexes using the Bernstein-Gelfand-Gelfand (BGG) framework, as shown by Arnold and Hu [Found. Comput. Math. 21 (2021), pp. 1739–1774]. This paper extends their approach to three-dimensional finite element complexes. The finite element Hessian, elasticity, and divdiv complexes are systematically derived by applying techniques such as smooth finite element de Rham complexes, the t t - n n decomposition, and trace complexes, along with related two-dimensional finite element analogs. The construction includes two reduction operations and one augmentation operation to address continuity differences in the BGG diagram, ultimately resulting in a comprehensive and effective framework for constructing finite element complexes, which have various applications in PDE solving. 
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    Free, publicly-accessible full text available February 28, 2026
  7. ; (, International Conference on Learning Representations (ICLR))
    The heavy-ball momentum method accelerates gradient descent with a momentum term but lacks accelerated convergence for general smooth strongly convex problems. This work introduces the Accelerated Over-Relaxation Heavy-Ball (AOR-HB) method, the first variant with provable global and accelerated convergence for such problems. AOR-HB closes a long-standing theoretical gap, extends to composite convex optimization and min-max problems, and achieves optimal complexity bounds. It offers three key advantages: (1) broad generalization ability, (2) potential to reshape acceleration techniques, and (3) conceptual clarity and elegance compared to existing methods. 
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    Free, publicly-accessible full text available January 22, 2026
  8. ; ; ; ; ; (, Acta Materialia)
    Free, publicly-accessible full text available April 1, 2026
  9. ; ; ; ; ; ; ; (, Journal of Chemical Information and Modeling)
  10. ; ; ; ; ; ; (, Acta Materialia)
    Free, publicly-accessible full text available March 1, 2026