Anthony T. Patera

16.2k total citations · 2 hit papers
153 papers, 10.3k citations indexed

About

Anthony T. Patera is a scholar working on Computational Mechanics, Statistical and Nonlinear Physics and Mechanics of Materials. According to data from OpenAlex, Anthony T. Patera has authored 153 papers receiving a total of 10.3k indexed citations (citations by other indexed papers that have themselves been cited), including 113 papers in Computational Mechanics, 60 papers in Statistical and Nonlinear Physics and 50 papers in Mechanics of Materials. Recurrent topics in Anthony T. Patera's work include Advanced Numerical Methods in Computational Mathematics (82 papers), Model Reduction and Neural Networks (58 papers) and Numerical methods in engineering (43 papers). Anthony T. Patera is often cited by papers focused on Advanced Numerical Methods in Computational Mathematics (82 papers), Model Reduction and Neural Networks (58 papers) and Numerical methods in engineering (43 papers). Anthony T. Patera collaborates with scholars based in United States, France and Norway. Anthony T. Patera's co-authors include Yvon Maday, Ngoc Cuong Nguyen, Steven A. Orszag, Maxime Barrault, Karen Veroy, Martin Grepl, D.B.P. Huynh, B. B. Mikić, Einar M. Rønquist and Gabriel Turinici and has published in prestigious journals such as Physical Review Letters, Journal of Fluid Mechanics and Journal of Computational Physics.

In The Last Decade

Anthony T. Patera

152 papers receiving 9.6k citations

Hit Papers

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What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

A spectral element method for fluid dynamics: Laminar flow in a channel expansion

1984 1.7k citations Anthony T. Patera profile →
An ‘empirical interpolation’ method: application to efficient reduced-basis discretization of partial differential equations

2004 973 citations Yvon Maday, Ngoc Cuong Nguyen et al. Comptes Rendus Mathématique profile →

Peers

Countries citing papers authored by Anthony T. Patera

Since Specialization

Citations

This map shows the geographic impact of Anthony T. Patera's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Anthony T. Patera with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Anthony T. Patera more than expected).

Fields of papers citing papers by Anthony T. Patera

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Anthony T. Patera. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Anthony T. Patera. The network helps show where Anthony T. Patera may publish in the future.

Co-authorship network of co-authors of Anthony T. Patera

This figure shows the co-authorship network connecting the top 25 collaborators of Anthony T. Patera. A scholar is included among the top collaborators of Anthony T. Patera based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Anthony T. Patera. Anthony T. Patera is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

#	Work	Indexed citations
1	Simulation-Based Classification; a Model-Order-Reduction Approach for Structural Health Monitoring 2016 ·Archives of Computational Methods in Engineering ·Tommaso Taddei, (unknown), Masayuki Yano, Anthony T. Patera	27
2	A SPACE-TIME CERTIFIED REDUCED BASIS METHOD FOR BURGERS' EQUATION 2014 ·DSpace@MIT (Massachusetts Institute of Technology) ·Masayuki Yano, Anthony T. Patera	1
3	An improved error bound for reduced basis approximation of linear parabolic problems 2013 ·Mathematics of Computation ·Karsten Urban, Anthony T. Patera	6
4	Rapid identification of material properties of the interface tissue in dental implant systems using reduced basis method 2013 ·Inverse Problems in Science and Engineering ·(unknown), Boo Cheong Khoo, Gang Liu, Ngoc Cuong Nguyen, Anthony T. Patera	20
5	A model-data weak formulation for simultaneous estimation of state and model bias 2013 ·Comptes Rendus Mathématique ·Masayuki Yano, (unknown), Anthony T. Patera	9
6	A new error bound for reduced basis approximation of parabolic partial differential equations 2012 ·Comptes Rendus Mathématique ·Karsten Urban, Anthony T. Patera	38
7	An “hp” Certified Reduced Basis Method for Parametrized Elliptic Partial Differential Equations 2010 ·SIAM Journal on Control and Optimization ·Jens L. Eftang, Anthony T. Patera, Einar M. Rønquist	2
8	A posteriori error bounds for the empirical interpolation method 2010 ·Comptes Rendus Mathématique ·Jens L. Eftang, Martin Grepl, Anthony T. Patera	36
9	A Certified Reduced Basis Method for the Fokker–Planck Equation of Dilute Polymeric Fluids: FENE Dumbbells in Extensional Flow 2010 ·SIAM Journal on Scientific Computing ·David J. Knezevic, Anthony T. Patera	30
10	Reduced Basis Methods and a Posteriori Error Estimators for Heat Transfer Problems 2009 ·Infoscience (Ecole Polytechnique Fédérale de Lausanne) ·Gianluigi Rozza, Ngoc Cuong Nguyen, Anthony T. Patera, Simone Deparis	11
11	Reduced-basis techniques for rapid reliable optimization of systems described by affinely parametrized coercive elliptic partial differential equations 2007 ·Optimization and Engineering ·(unknown), Anthony T. Patera	29
12	Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations 2007 ·Archives of Computational Methods in Engineering ·Gianluigi Rozza, D.B.P. Huynh, Anthony T. Patera	160
13	Reduced-basis approximation of the viscous Burgers equation: rigorous a posteriori error bounds 2003 ·Comptes Rendus Mathématique ·Karen Veroy, Christophe Prud'Homme, Anthony T. Patera	67
14	Global a priori convergence theory for reduced-basis approximations of single-parameter symmetric coercive elliptic partial differential equations 2002 ·Comptes Rendus Mathématique ·Yvon Maday, Anthony T. Patera, Gabriel Turinici	73
15	Heterogeneous Atomistic-Continuum Methods for Dense Fluid Systems 1997 ·Nicolas G. Hadjiconstantinou, Anthony T. Patera	9
16	A variational-bound nip-element method for geometrically stiff problems; application to thermal composites and porous media 1995 ·Proceedings of the Royal Society of London Series A Mathematical and Physical Sciences ·Manuel E. Cruz, (unknown), Anthony T. Patera	8
17	Parallel spectral element methods for viscous flow 1989 ·John Wiley & Sons, Inc. eBooks ·Paul Fischer, Einar M. Rønquist, Anthony T. Patera	3
18	A well-posed optimal spectral element approximation for the Stokes problem 1987 ·(unknown), Anthony T. Patera, Einar M. Rønquist	17
19	Iterative solution of isoparametric spectral element equations by low-order finite element preconditioning 1987 ·Journal of Computational and Applied Mathematics ·Michel Deville, E. H. Mund, Anthony T. Patera	3
20	Calculation of Von Kármán's Constant for Turbulent Channel Flow 1981 ·Physical Review Letters ·Steven A. Orszag, Anthony T. Patera	20

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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