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 Basis Element Method: Approximation And A Posteriori Error Estimation by D.B.P. Huynh, D.J. Knezevic and A.T. Patera. 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 and 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 and 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 and 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 and 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 and 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 and Karen E. Willcox |
| 15 | RB-FEA: The Gold Standard for Physics-based Modeling of Industrial-scale Equipment by David Knezevic, Ph.D., Chief Scientific Officer, Akselos. Akselos Whitepaper, 2026. |
These papers cover the theory behind RB-FEA. To see the method applied to real industrial assets, visit the Akselos Resource Hub. Its white papers, blog posts and videos show RB-FEA at work on FPSOs, reactors and other critical infrastructure, and explain how it compares with other modeling approaches.
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