Publications related to Fast and accurate modeling of waveguide grating couplers

BluePyOpt: Leveraging Open Source Software and Cloud Infrastructure to Optimise Model Parameters in Neuroscience

Henry Markram, Eilif Benjamin Muller, Werner Alfons Hilda Van Geit, Jean-Denis Georges Emile Courcol, Michael Emiel Gevaert, Idan Segev, Giuseppe Chindemi

At many scales in neuroscience, appropriate mathematical models take the form of complex dynamical systems. Parametrising such models to conform to the multitude of available experimental constraints is a global nonlinear optimisation problem with a comple ...

Frontiers Research Foundation2016

On the use of ANOVA expansions in reduced basis methods for high-dimensional parametric partial differential equations

Jan Sickmann Hesthaven

We propose two different improvements of reduced basis (RB) methods to enable the efficient and accurate evaluation of an output functional based on the numerical solution of parametrized partial differential equations with a possibly high-dimensional para ...

Springer Verlag2016

Numerical homogenization methods for advection-diffusion and nonlinear monotone problems with multiple scales

Martin Ernst Huber

Many applied problems, like transport processes in porous media or ferromagnetism in composite materials, can be modeled by partial differential equations (PDEs) with heterogeneous coefficients that rapidly vary at small scales. To capture the effective be ...

EPFL2015

Analysis and Computation of Hyperbolic PDEs with Random Data

Fabio Nobile

Hyperbolic partial differential equations (PDEs) are mathematical models of wave phenomena, with applications in a wide range of scientific and engineering fields such as electromagnetic radiation, geosciences, fluid and solid mechanics, aeroacoustics, and ...

2015

A second-order cut-cell method for the numerical simulation of 2D flows past obstacles

We present a new second-order method, based on the MAC scheme on cartesian grids, for the numerical simulation of two-dimensional incompressible flows past obstacles. In this approach, the solid boundary is embedded in the cartesian computational mesh. Dis ...

Pergamon-Elsevier Science Ltd2012

Numerical methods for multilattices

Assyr Abdulle, Alexander Shapeev

Among the efficient numerical methods based on atomistic models, the quasi-continuum (QC) method has attracted growing interest in recent years. The QC method was first developed for crystalline materials with Bravais lattice and was later extended to mult ...

Siam Publications2012

Model Order Reduction by geometrical parametrization for shape optimization in computational fluid dynamics

Gianluigi Rozza, Andrea Manzoni

Shape Optimization problems governed by partial differential equations result from many applications in computational fluid dynamics; they involve the repetitive evaluation of outputs expressed as functionals of the field variables and usually imply big co ...

2010

An optimal first-order solver for the TV-$L_1$ optical flow problem

Pierre Vandergheynst, Gilles Puy, Emmanuel D'Angelo

In this study, we address the problem of computing efficiently a dense optical flow between two images under a total variation (TV) regularization and an

L_1

norm data fidelity constraint using a variational method. We build upon Nesterov's framework for ...

2010

Optimization Problem Coupled with Differential Equations: A Numerical Algorithm Mixing an Interior-Point Method and Event Detection

Jacques Rappaz, Alexandre Caboussat, Christian Landry

The numerical analysis of a dynamic constrained optimization problem is presented. It consists of a global minimization problem that is coupled with a system of ordinary differential equations. The activation and the deactivation of inequality constraints ...

2010

Reduced Basis Method for Parametrized Differential Algebraic Equations

Alfio Quarteroni, Luca Dede'

Parametrized systems of Differential Algebraic Equations (DAEs) stand at the base of several mathematical models in Microelectronics, Computational Fluid Dynamics and other Engineering fields. Since the dimension of these systems can be huge, high computat ...

2009

Fast and accurate modeling of waveguide grating couplers

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BluePyOpt: Leveraging Open Source Software and Cloud Infrastructure to Optimise Model Parameters in Neuroscience

On the use of ANOVA expansions in reduced basis methods for high-dimensional parametric partial differential equations

Numerical homogenization methods for advection-diffusion and nonlinear monotone problems with multiple scales

Analysis and Computation of Hyperbolic PDEs with Random Data

A second-order cut-cell method for the numerical simulation of 2D flows past obstacles

Numerical methods for multilattices

Model Order Reduction by geometrical parametrization for shape optimization in computational fluid dynamics

An optimal first-order solver for the TV-$L_1$ optical flow problem

Optimization Problem Coupled with Differential Equations: A Numerical Algorithm Mixing an Interior-Point Method and Event Detection

Reduced Basis Method for Parametrized Differential Algebraic Equations

Numerical homogenization methods for advection-diffusion and nonlinear monotone problems with multiple scales

Analysis and Computation of Hyperbolic PDEs with Random Data

On the use of ANOVA expansions in reduced basis methods for high-dimensional parametric partial differential equations

Numerical methods for multilattices

Model Order Reduction by geometrical parametrization for shape optimization in computational fluid dynamics

Reduced Basis Method for Parametrized Differential Algebraic Equations

A second-order cut-cell method for the numerical simulation of 2D flows past obstacles

An optimal first-order solver for the TV-$L_1$ optical flow problem

Optimization Problem Coupled with Differential Equations: A Numerical Algorithm Mixing an Interior-Point Method and Event Detection

BluePyOpt: Leveraging Open Source Software and Cloud Infrastructure to Optimise Model Parameters in Neuroscience