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My research interests lie in the areas of computational solid mechanics and applied mathematics, with recent emphasis on new methods development for failure modeling in materials and in ab initio electronic-structure (Kohn-Sham equations of DFT) calculations. Current projects include developing polyhedral finite element methods for fracture simulations and geometric-based (isogeometric) methods in mechanics. Other areas of interest include computational geometry, level set methods, Bayesian probability theory, maximum-entropy methods in mechanics, convex optimization and semidefinite programming, machine learning, stochastic PDEs and UQ, and parallel computing.
My research interests lie in the areas of computational solid mechanics and applied mathematics, with recent emphasis on new methods development for failure modeling in materials and in ab initio electronic-structure (Kohn-Sham equations of DFT) calculations. Current projects include developing polyhedral finite element methods for fracture simulations and geometric-based (isogeometric) methods in mechanics. Other areas of interest include computational geometry, level set methods, Bayesian probability theory, maximum-entropy methods in mechanics, convex optimization and semidefinite programming, machine learning, stochastic PDEs and UQ, and parallel computing.
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Alvin Chen,N. Sukumar
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERINGno. 3 (2024)
CoRRno. 1 (2024): 81-99
COMPUTER PHYSICS COMMUNICATIONS (2024): 109051
arxiv(2023)
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