Optimization methods and numerical methods for nonlinear PDEs
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Organizer(s): |
Name:
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Affiliation:
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Country:
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Ruchi Guo
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Sichuan University
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Peoples Rep of China
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Jun Zou
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The Chinese University of China
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Hong Kong
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Long Chen
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University of California Irvine
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USA
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Introduction:
| | Nonlinear partial differential equations (PDEs) lie at the heart of modern modeling in science and engineering, yet their analysis and simulation remain challenging due to nonconvexity, multiscale behavior, strong coupling, and nonlocal effects. This mini-symposium brings together researchers in optimization and numerical analysis to advance algorithms and theory for nonlinear PDEs, emphasizing methods that are both mathematically rigorous and computationally efficient. We aim to highlight cross-fertilization between variational principles, monotone and smooth/nonsmooth operator theory, and FEM/DG/VEM discretization and solver design.
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