The Citing articles tool gives a list of articles citing the current article. The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Research on the efficiency of reduced-basis approach in computations of structural problems and its improvements
F Lei, XP Xie, XW Wang and YG Wang Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 227(10) 2143 (2013) https://doi.org/10.1177/0954406212470895
A reduced-order model for groundwater flow equation with random hydraulic conductivity: Application to Monte Carlo methods
The reduced basis method applied to transport equations of a lithium-ion battery
Stefan Volkwein, Prof. Oszkár Bíró, Prof. David A. Lowther and Andrea Wesche COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 32(5) 1760 (2013) https://doi.org/10.1108/COMPEL-04-2013-0115
Rapid identification of material properties of the interface tissue in dental implant systems using reduced basis method
Certified reduced-basis solutions of viscous Burgers equation parametrized by initial and boundary values
Alexandre Janon, Maëlle Nodet and Clémentine Prieur ESAIM: Mathematical Modelling and Numerical Analysis 47(2) 317 (2013) https://doi.org/10.1051/m2an/2012029
A reduced basis approach for rapid and reliable computation of structural linear elasticity problems using mixed interpolation of tensorial components element
F Lei, YL Ma, YC Bai and HB Yang Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 227(5) 905 (2013) https://doi.org/10.1177/0954406212456794
Space-Time Reduced Basis Methods for Time-Periodic Partial Differential Equations
Reduced Basis Approximation for Nonlinear Parametrized Evolution Equations based on Empirical Operator Interpolation
Martin Drohmann, Bernard Haasdonk and Mario Ohlberger SIAM Journal on Scientific Computing 34(2) A937 (2012) https://doi.org/10.1137/10081157X
Adaptive Hessian-Based Nonstationary Gaussian Process Response Surface Method for Probability Density Approximation with Application to Bayesian Solution of Large-Scale Inverse Problems
Tan Bui-Thanh, Omar Ghattas and David Higdon SIAM Journal on Scientific Computing 34(6) A2837 (2012) https://doi.org/10.1137/110851419
Residual Minimizing Model Interpolation for Parameterized Nonlinear Dynamical Systems
Certified reduced basis methods for parametrized parabolic partial differential equations with non-affine source terms
Dirk Klindworth, Martin A. Grepl and Georg Vossen Computer Methods in Applied Mechanics and Engineering 209-212 144 (2012) https://doi.org/10.1016/j.cma.2011.10.010
Reduced Basis Method and Error Estimation for Parametrized Optimal Control Problems with Control Constraints
A Reduced Basis Model with Parametric Coupling for Fluid-Structure Interaction Problems
Toni Lassila, Alfio Quarteroni and Gianluigi Rozza SIAM Journal on Scientific Computing 34(2) A1187 (2012) https://doi.org/10.1137/110819950
Constrained Optimization and Optimal Control for Partial Differential Equations
Thomas Franke, Ronald H. W. Hoppe, Christopher Linsenmann and Achim Wixforth Constrained Optimization and Optimal Control for Partial Differential Equations 75 (2012) https://doi.org/10.1007/978-3-0348-0133-1_5
A training set and multiple bases generation approach for parameterized model reduction based on adaptive grids in parameter space
REDUCED BASIS APPROXIMATION AND A POSTERIORI ERROR ESTIMATION FOR THE PARAMETRIZED UNSTEADY BOUSSINESQ EQUATIONS
DAVID J. KNEZEVIC, NGOC-CUONG NGUYEN and ANTHONY T. PATERA Mathematical Models and Methods in Applied Sciences 21(07) 1415 (2011) https://doi.org/10.1142/S0218202511005441
Application of POD and DEIM on dimension reduction of non-linear miscible viscous fingering in porous media
Interpolation among reduced‐order matrices to obtain parameterized models for design, optimization and probabilistic analysis
Joris Degroote, Jan Vierendeels and Karen Willcox International Journal for Numerical Methods in Fluids 63(2) 207 (2010) https://doi.org/10.1002/fld.2089
POD‐Galerkin approximations in PDE‐constrained optimization
A reduced basis approach for variational problems with stochastic parameters: Application to heat conduction with variable Robin coefficient
Sébastien Boyaval, Claude Le Bris, Yvon Maday, Ngoc Cuong Nguyen and Anthony T. Patera Computer Methods in Applied Mechanics and Engineering 198(41-44) 3187 (2009) https://doi.org/10.1016/j.cma.2009.05.019
A proper-orthogonal-decomposition–based model for the wall layer of a turbulent channel flow
Hessian‐based model reduction for large‐scale systems with initial‐condition inputs
O. Bashir, K. Willcox, O. Ghattas, B. van Bloemen Waanders and J. Hill International Journal for Numerical Methods in Engineering 73(6) 844 (2008) https://doi.org/10.1002/nme.2100
Reduced Basis Approximation and a Posteriori Error Estimation for Affinely Parametrized Elliptic Coercive Partial Differential Equations
An efficient reduced‐order modeling approach for non‐linear parametrized partial differential equations
N. C. Nguyen and J. Peraire International Journal for Numerical Methods in Engineering 76(1) 27 (2008) https://doi.org/10.1002/nme.2309
Reduced basis approximation and a posteriori error estimation for stress intensity factors
D. B. P. Huynh and A. T. Patera International Journal for Numerical Methods in Engineering 72(10) 1219 (2007) https://doi.org/10.1002/nme.2090
Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations
Martin A. Grepl, Yvon Maday, Ngoc C. Nguyen and Anthony T. Patera ESAIM: Mathematical Modelling and Numerical Analysis 41(3) 575 (2007) https://doi.org/10.1051/m2an:2007031
A posteriori error estimation and basis adaptivity for reduced-basis approximation of nonaffine-parametrized linear elliptic partial differential equations
Reduced-order modeling of time-dependent PDEs with multiple parameters in the boundary data
Max D. Gunzburger, Janet S. Peterson and John N. Shadid Computer Methods in Applied Mechanics and Engineering 196(4-6) 1030 (2007) https://doi.org/10.1016/j.cma.2006.08.004
Reduced-order controllers for control of flow past an airfoil