Offline-Enhanced Reduced Basis Method Through Adaptive Construction of the Surrogate Training Set

A certified natural-norm successive constraint method for parametric inf–sup lower bounds

(2016) Yanlai Chen   APPLIED NUMERICAL MATHEMATICS

A Goal-Oriented Reduced Basis Methods-Accelerated Generalized Polynomial Chaos Algorithm

(2016) Jiahua Jiang et al.   SIAM-ASA Journal on Uncertainty Quantification

Multilevel and weighted reduced basis method for stochastic optimal control problems constrained by Stokes equations

(2015) Peng Chen et al.   NUMERISCHE MATHEMATIK

Accurate and efficient evaluation of failure probability for partial different equations with random input data

(2013) Peng Chen et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Efficient greedy algorithms for high-dimensional parameter spaces with applications to empirical interpolation and reduced basis methods

(2013) Jan S. Hesthaven et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

A Weighted Reduced Basis Method for Elliptic Partial Differential Equations with Random Input Data

(2013) Peng Chen et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

A Reduced Basis Model with Parametric Coupling for Fluid-Structure Interaction Problems

(2012) Toni Lassila et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

On the low-rank approximation by the pivoted Cholesky decomposition

(2011) Helmut Harbrecht et al.   APPLIED NUMERICAL MATHEMATICS

A training set and multiple bases generation approach for parameterized model reduction based on adaptive grids in parameter space

(2011) Bernard Haasdonk et al.   MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL SYSTEMS

Convergence Rates for Greedy Algorithms in Reduced Basis Methods

(2011) Peter Binev et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

A natural-norm Successive Constraint Method for inf-sup lower bounds

(2010) D.B.P. Huynh et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Certified Reduced Basis Methods and Output Bounds for the Harmonic Maxwell's Equations

(2010) Yanlai Chen et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data

(2010) Ivo Babuška et al.   SIAM REVIEW

Reduced Basis Approximation and a Posteriori Error Estimation for Affinely Parametrized Elliptic Coercive Partial Differential Equations

(2008) G. Rozza et al.   ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING

Reduced-Basis Approximation andA PosterioriError Estimation for Many-Parameter Heat Conduction Problems

(2008) S. Sen   NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS