Searched for: author%3A%22Witteveen%2C+J.A.S.%22
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Grzelak, L.A. (author), Witteveen, J.A.S. (author), Oosterlee, C.W. (author), Suárez-Taboada, M. (author)
In this article, we propose an efficient approach for inverting computationally expensive cumulative distribution functions. A collocation method, called the Stochastic Collocation Monte Carlo sampler (SCMC sampler), within a polynomial chaos expansion framework, allows us the generation of any number of Monte Carlo samples based on only a...
journal article 2018
document
Witteveen, J.A.S. (author), Bijl, H. (author)
journal article 2009
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Witteveen, J.A.S. (author), Bijl, H. (author)
The Unsteady Adaptive Stochastic Finite Elements (UASFE) approach is a robust and efficient uncertainty quantification method for resolving the effect of random parameters in unsteady simulations. In this paper, it is shown that the underlying Adaptive Stochastic Finite Elements (ASFE) method for steady problems based on Newton-Cotes quadrature...
journal article 2009
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Witteveen, J.A.S. (author), Bijl, H. (author)
A robust and efficient uncertainty quantification method is presented for resolving the effect of uncertainty on the behavior of multi-physics systems. The extrema diminishing method in probability space maintains a bounded error due to the interpolation of deterministic samples at constant phase in a transonic airfoil flutter problem.
conference paper 2009
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Witteveen, J.A.S. (author), Bijl, H. (author)
An explicit mesh motion algorithm based on inverse distance weighting interpolation is presented. The explicit formulation leads to a fast mesh motion algorithm and an easy implementation. In addition, the proposed point-by-point method is robust and flexible in case of large deformations, hanging nodes, and parallelization. Mesh quality results...
conference paper 2009
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Witteveen, J.A.S. (author), Bijl, H. (author)
An efficient uncertainty quantification method for unsteady problems is presented in order to achieve a constant accuracy in time for a constant number of samples. The approach is applied to the aeroelastic problems of a transonic airfoil flutter system and the AGARD 445.6 wing benchmark with uncertainties in the flow and the structure.
conference paper 2009
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Witteveen, J.A.S. (author)
A second order front tracking method is developed for solving the Euler equations of inviscid fluid dynamics numerically. Front tracking methods are usually limited to first order accuracy, since they are based on a piecewise constant approximation of the solution. Here the second order convergence is achieved by building a piecewise linear...
conference paper 2009
document
Witteveen, J.A.S. (author)
Physical uncertainties due to atmospheric variations and production tolerances can nowadays have a larger effect on the accuracy of computational predictions than numerical errors. It is essential to quantify the effect of these uncertainties for reducing design safety factors and robust design optimization. This eventually contributes to the...
doctoral thesis 2009
document
Witteveen, J.A.S. (author), Bijl, H. (author)
The higher period stochastic bifurcation of a nonlinear airfoil fluid-structure interaction system is analyzed using an efficient and robust uncertainty quantification method for unsteady problems. The computationally efficient numerical approach achieves a constant error with a constant number of samples in time. The robustness of the method is...
journal article 2009
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Witteveen, J.A.S. (author), Bijl, H. (author)
A monomial chaos approach is presented for efficient uncertainty quantification in nonlinear computational problems. Propagating uncertainty through nonlinear equations can be computationally intensive for existing uncertainty quantification methods. It usually results in a set of nonlinear equations which can be coupled. The proposed monomial...
journal article 2008
document
Witteveen, J.A.S. (author), Bijl, H. (author)
conference paper 2008
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Witteveen, J.A.S. (author)
conference paper 2008
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Witteveen, J.A.S. (author), Bijl, H. (author)
conference paper 2008
document
Witteveen, J.A.S. (author), Bijl, H. (author)
conference paper 2008
document
Loeven, A. (author), Witteveen, J.A.S. (author), Bijl, H. (author)
In this paper a Two Step approach with Chaos Collocation for efficient uncertainty quantification in computational fluid-structure interactions is followed. In Step I, a Sensitivity Analysis is used to efficiently narrow the problem down from multiple uncertain parameters to one parameter which has the largest influence on the solution. In Step...
conference paper 2006
document
Witteveen, J.A.S. (author), Bijl, H. (author)
Inherent physical uncertainties can have a significant influence on computational predictions. It is therefore important to take physical uncertainties into account to obtain more reliable computational predictions. The Galerkin polynomial chaos method is a commonly applied uncertainty quantification method. However, the polynomial chaos...
conference paper 2006
document
Witteveen, J.A.S. (author), Bijl, H. (author)
A monomial chaos approach is proposed for efficient uncertainty quantification in nonlinear computational problems. Propagating uncertainty through nonlinear equations can still be computationally intensive for existing uncertainty quantification methods. It usually results in a set of nonlinear equations which can be coupled. The proposed...
conference paper 2006
document
Loeven, A. (author), Witteveen, J.A.S. (author), Bijl, H. (author)
In this paper a Two Step approach with Chaos Collocation for efficient uncertainty quantification in computational fluid-structure interactions is followed. In Step I, a Sensitivity Analysis is used to efficiently narrow the problem down from multiple uncertain parameters to one parameter which has the largest influence on the solution. In Step...
conference paper 2006
document
Witteveen, J.A.S. (author), Bijl, H. (author)
Inherent physical uncertainties can have a significant influence on computational predictions. It is therefore important to take physical uncertainties into account to obtain more reliable computational predictions. The Galerkin polynomial chaos method is a commonly applied uncertainty quantification method. However, the polynomial chaos...
conference paper 2006
document
Witteveen, J.A.S. (author), Bijl, H. (author)
A monomial chaos approach is proposed for efficient uncertainty quantification in nonlinear computational problems. Propagating uncertainty through nonlinear equations can still be computationally intensive for existing uncertainty quantification methods. It usually results in a set of nonlinear equations which can be coupled. The proposed...
conference paper 2006
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