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Anthony T. Patera
Researcher at Massachusetts Institute of Technology
Publications - 193
Citations - 18048
Anthony T. Patera is an academic researcher from Massachusetts Institute of Technology. The author has contributed to research in topics: Partial differential equation & Finite element method. The author has an hindex of 63, co-authored 193 publications receiving 16460 citations. Previous affiliations of Anthony T. Patera include University of Paris.
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A spectral element method for fluid dynamics: Laminar flow in a channel expansion
TL;DR: In this article, a spectral element method was proposed for numerical solution of the Navier-Stokes equations, where the computational domain is broken into a series of elements, and the velocity in each element is represented as a highorder Lagrangian interpolant through Chebyshev collocation points.
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An ‘empirical interpolation’ method: application to efficient reduced-basis discretization of partial differential equations
TL;DR: Barrault et al. as discussed by the authors presented an efficient reduced-basis discretization procedure for partial differential equations with nonaffine parameter dependence, replacing non-affine coefficient functions with a collateral reducedbasis expansion, which then permits an affine offline-online computational decomposition.
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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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Reliable Real-Time Solution of Parametrized Partial Differential Equations: Reduced-Basis Output Bound Methods
Christophe Prud'Homme,Dimitrios V. Rovas,Karen Veroy,Luc Machiels,Yvon Maday,Anthony T. Patera,Gabriel Turinici +6 more
TL;DR: The method is ideally suited for the repeated and rapid evaluations required in the context of parameter estimation, design, optimization, and real-time control.
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Secondary instability of wall-bounded shear flows
TL;DR: In this paper, it was shown that two-dimensional, finite amplitude waves are exponentially unstable to infinitimal three-dimensional disturbances, and that the threedimensional instability requires that a threshold 2-dimensional amplitude be achieved.