Publications related to Dynamical Low Rank approximation of PDEs with random parameters

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

Several computational challenges arise when evaluating the failure probability of a given system in the context of risk prediction or reliability analysis. When the dimension of the uncertainties becomes high, well established direct numerical methods can ...

Elsevier Science Sa2013

Incremental Model Identification of Fluid-Fluid Reaction Systems – Dynamic Accumulation and Reactions in the Diffusion Layer

Dominique Bonvin, Julien Léo Billeter, Sriniketh Srinivasan

The identification of kinetic models is an important step for the monitoring, control and optimization of industrial processes. This is particularly the case for highly competitive business sectors such as chemical and pharmaceutical industries, where the ...

2013

A Weighted Reduced Basis Method For Elliptic Partial Differential Equations With Random Input Data

Alfio Quarteroni, Gianluigi Rozza, Peng Chen

In this work we propose and analyze a weighted reduced basis method to solve elliptic partial differential equations (PDEs) with random input data. The PDEs are first transformed into a weighted parametric elliptic problem depending on a finite number of p ...

Siam Publications2013

Numerical study of Navier-Stokes problems with generalized Robin boundary conditions

Alessandro Samuele Patelli

The first goal of this project is to study a reduced order model for the Fluid-Structure Interaction (FSI) problem. We present the assumptions made to achieve the reduced order formulation and its fully discretized numerical scheme. One of the characterist ...

2013

Incremental Model Identification of Gas-Liquid Reaction Systems with Unsteady-State Diffusion

Dominique Bonvin, Julien Léo Billeter, Sriniketh Srinivasan, Benoit Till Cretegny

Identification of kinetic models and estimation of reaction and mass-transfer parameters can be performed using the extent-based identification method, whereby each chemical/physical process is handled separately [1-3]. This method is used here to analyze ...

2013

Incremental Model Identification of Gas-Liquid Reaction Systems with Unsteady-State Diffusion

Benoit Till Cretegny

Identification of kinetic models and estimation of reaction and mass-transfer parameters can be performed using the extent-based identification method, whereby each chemical/physical process is treated individually. This method is used here to analyze gas- ...

2013

Approximation of Quantities of Interest in Stochastic PDEs by the Random Discrete $L^2$ Projection on Polynomial Spaces

Fabio Nobile, Giovanni Migliorati, Erik Gustaf Bogislaw Von Schwerin

In this work we consider the random discrete

L^2

projection on polynomial spaces (hereafter RDP) for the approximation of scalar quantities of interest (QOIs) related to the solution of a partial differential equation model with random input parameters. ...

Siam Publications2013

The geometry of algorithms using hierarchical tensors

André Uschmajew

In this paper, the differential geometry of the novel hierarchical Tucker format for tensors is derived. The set HT,k of tensors with fixed tree T and hierarchical rank k is shown to be a smooth quotient manifold, namely the set of orbits of a Lie group ac ...

2013

New Techniques For Obtaining Schubert-Type Formulas For Hamiltonian Manifolds

Silvia Sabatini

In [GT], Goldin and Tolman extend some ideas from Schubert calculus to the more general setting of Hamiltonian torus actions on compact symplectic manifolds with isolated fixed points. (See also [Kn99,Kn08].) The main goal of this paper is to build on this ...

Int Press Boston, Inc2013

Estimation of A-type Piano Key weir rating curve

Anton Schleiss, Michael Pfister

The Piano Key weir (PKW) is a hydraulically attractive alternative to linear overflow weirs, increasing the unit discharge for similar heads and spillway widths. This advantage allows operating dam reservoirs on an increased level and provides thereby an e ...

Eds Erpicum et al., CRC Press, Boca Raton2013

Dynamical Low Rank approximation of PDEs with random parameters

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

Incremental Model Identification of Fluid-Fluid Reaction Systems – Dynamic Accumulation and Reactions in the Diffusion Layer

A Weighted Reduced Basis Method For Elliptic Partial Differential Equations With Random Input Data

Numerical study of Navier-Stokes problems with generalized Robin boundary conditions

Incremental Model Identification of Gas-Liquid Reaction Systems with Unsteady-State Diffusion

Incremental Model Identification of Gas-Liquid Reaction Systems with Unsteady-State Diffusion

Approximation of Quantities of Interest in Stochastic PDEs by the Random Discrete $L^2$ Projection on Polynomial Spaces

The geometry of algorithms using hierarchical tensors

New Techniques For Obtaining Schubert-Type Formulas For Hamiltonian Manifolds

Estimation of A-type Piano Key weir rating curve

Numerical study of Navier-Stokes problems with generalized Robin boundary conditions

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

Incremental Model Identification of Gas-Liquid Reaction Systems with Unsteady-State Diffusion

Incremental Model Identification of Gas-Liquid Reaction Systems with Unsteady-State Diffusion

Approximation of Quantities of Interest in Stochastic PDEs by the Random Discrete $L^2$ Projection on Polynomial Spaces

Incremental Model Identification of Fluid-Fluid Reaction Systems – Dynamic Accumulation and Reactions in the Diffusion Layer

New Techniques For Obtaining Schubert-Type Formulas For Hamiltonian Manifolds

The geometry of algorithms using hierarchical tensors

A Weighted Reduced Basis Method For Elliptic Partial Differential Equations With Random Input Data

Estimation of A-type Piano Key weir rating curve