Research Papers: Reduced- basis finite elements method

Modified on Fri, 3 May at 5:47 PM

RB-FEA Research papers list

Numerous publicly available research articles exist on Reduced-basis finite elements. The following compilation will assist you in locating them online, covering a wide range of topics aligned with your interests:

No.	Research Papers
1	Reduced Basis Output Bounds for Linear Elasticity: Application to Microtruss Structures by Thomas B. Leurent. Submitted to the Department of Mechanical Engineering on May 11, 2001, in partial fulfillment of the requirements for the degree of Master of Science in Mechanical Engineering.
2	A Static Condensation Reduced Basic Element Method: Approximation And A Posteriori Error Estimation by D.BP. Huynh, D.J Knezevic And A.T.Pateria. Revised 20 March 2012.
3	A High-Performance Parallel Implementation of the Certified Reduced Basis Method by David J. Knezevic and John W. Peterson.
4	Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. by G. Rozza, D.B.P. Huynh, and A.T. Patera
5	Reliable Real-Time Solution of Parametrized Partial Differential Equations: Reduced-Basis Output Bound Methods by C. Prud’homme, D. V. Rovas, K. Veroy, L. Machiels
6	Output bounds for reduced-basis approximations of symmetric positive definite eigenvalue problems by Luc Machiels , Yvon Maday , Ivan B. Oliveira , Anthony T. Patera , Dimitrios V. Rovas
7	An ‘empirical interpolation’ method: application to efficient reduced-basis discretization of partial differential equations by Maxime Barrault, Yvon Maday, Ngoc Cuong Nguyen , Anthony T. Patera
8	A Priori Convergence Of The Greedy Algorithm For The Parametrized Reduced Basis Method by A. Buffa, Y. Maday, A.T. Patera, C. Prud’homme and G. Turinici
9	Shape optimization for viscous flows by reduced basis methods and free-form deformation by Andrea Manzoni, Alfio Quarteroni, Gianluigi Rozza
10	A new certification framework for the port-reduced static condensation reduced basis element method by Kathrin Smetana
11	A Component-Based Hybrid Reduced Basis/Finite Element Method for Solid Mechanics with Local Nonlinearities by J. Ballani, D.B.P. Huynh, D.J. Knezevic, L. Nguyen, A.T. Patera
12	A Two-Step Certified Reduced Basis Method by J.L. Eftang, D.B.P. Huynh, D.J. Knezevic, and A.T. Patera
13	Component-based reduced basis for parametrized symmetric eigenproblems by Sylvain Vallaghé, Phuong Huynh, David J Knezevic, Loi Nguyen and Anthony T Patera
14	Toward predictive digital twins via component-based reduced-order models and interpretable machine learning by Michael G. Kapteyn, David J. Knezevic, Karen E. Willcox