6 pages, 1 figureInternational audienceIn the reduced basis method, the evaluation of the a posteriori estimator can become very sensitive to round-off errors. In this note, the origin of the loss of accuracy is revealed, and a solution to this problem is proposed and illustrated on a simple example
Classical residual type error estimators approximate the error flux around the elements and yield up...
The importance of accuracy verification methods was understood at the very beginning of the developm...
This paper proposes a counterexample-guided narrowing ap-proach, which mutually refines analyses and...
27pages, 11 figuresInternational audienceThe reduced basis method is a model reduction technique yie...
The reduced basis method is a model reduction technique yielding substantial savings of co...
error estimation for the reduced basis method, with application to sensitivity analysi
Abstract. The Reduced Basis (RB) method is a well established method for the model order reduction o...
A roundoff error analysis of formulae for evaluating polynomials is performed. The considered formul...
AbstractThis paper will write equations of the round-off errors for a new direct solver of a system ...
The analysis of a posteriori error estimates used in reduced basis methods leads to a model reductio...
We prove sharp, computable error estimates for the propagation of errors in the numerical solution o...
J.H. Wilkinson put Gaussian elimination (GE) on a sound numerical footing in the 1960's when he sho...
International audienceThe reduced basis method is a powerful model reduction technique designed to s...
A u th or...................................... C ertified by....................... A ccepted by......
A-posteriori forward rounding error analyses tend to give sharper error estimates than a-priori ones...
Classical residual type error estimators approximate the error flux around the elements and yield up...
The importance of accuracy verification methods was understood at the very beginning of the developm...
This paper proposes a counterexample-guided narrowing ap-proach, which mutually refines analyses and...
27pages, 11 figuresInternational audienceThe reduced basis method is a model reduction technique yie...
The reduced basis method is a model reduction technique yielding substantial savings of co...
error estimation for the reduced basis method, with application to sensitivity analysi
Abstract. The Reduced Basis (RB) method is a well established method for the model order reduction o...
A roundoff error analysis of formulae for evaluating polynomials is performed. The considered formul...
AbstractThis paper will write equations of the round-off errors for a new direct solver of a system ...
The analysis of a posteriori error estimates used in reduced basis methods leads to a model reductio...
We prove sharp, computable error estimates for the propagation of errors in the numerical solution o...
J.H. Wilkinson put Gaussian elimination (GE) on a sound numerical footing in the 1960's when he sho...
International audienceThe reduced basis method is a powerful model reduction technique designed to s...
A u th or...................................... C ertified by....................... A ccepted by......
A-posteriori forward rounding error analyses tend to give sharper error estimates than a-priori ones...
Classical residual type error estimators approximate the error flux around the elements and yield up...
The importance of accuracy verification methods was understood at the very beginning of the developm...
This paper proposes a counterexample-guided narrowing ap-proach, which mutually refines analyses and...
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