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D. B. P. Huynh
Researcher at Massachusetts Institute of Technology
Publications - 22
Citations - 2411
D. B. P. Huynh is an academic researcher from Massachusetts Institute of Technology. The author has contributed to research in topics: Partial differential equation & Basis (linear algebra). The author has an hindex of 16, co-authored 22 publications receiving 2109 citations. Previous affiliations of D. B. P. Huynh include National University of Singapore & Northwestern University.
Papers
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Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations
TL;DR: (hierarchical, Lagrange) reduced basis approximation and a posteriori error estimation for linear functional outputs of affinely parametrized elliptic coercive partial differential equations are considered.
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A Successive Constraint Linear Optimization Method for Lower Bounds of Parametric Coercivity and Inf-Sup Stability Constants
TL;DR: The method, based on an Offline–Online strategy relevant in the reduced basis many-query and real-time context, reduces the Online calculation to a small Linear Program: the objective is a parametric expansion of the underlying Rayleigh quotient; the constraints reflect stability information at optimally selected parameter points.
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Reduced basis approximation and a posteriori error estimation for Stokes flows in parametrized geometries: roles of the inf-sup stability constants
TL;DR: The reduced basis approximation and a posteriori error estimation for steady Stokes flows in affinely parametrized geometries are extended, focusing on the role played by the Brezzi’s and Babuška's stability constants.
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The extended finite element method for fracture in composite materials
D. B. P. Huynh,Ted Belytschko +1 more
TL;DR: In this paper, a method for treating fracture in composite material by the extended finite element method with meshes that are independent of matrix/fiber interfaces and crack morphology is described. But the results clearly demonstrate that interface enrichment is sufficient to model the correct mechanics of an interface crack.
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A Static condensation Reduced Basis Element method: approximation and a posteriori error estimation
TL;DR: A new reduced basis element-cum-component mode synthesis approach for parametrized elliptic coercive partial differential equations with particular emphasis on the Online stage is proposed; flexibility, accuracy, com- putational performance, and also the effectivity of the a posteriori error bounds are discussed.