Publications related to Optimization based methods for highly heterogeneous multiscale problems and multiscale methods for elastic waves

MATHICSE Technical Report : Effective models for the multidimensional wave equation in heterogeneous media over long time and numerical homogenization

A family of effective equations that capture the long time dispersive effects of wave propagation in heterogeneous media in an arbitrary large periodic spatial domain

\Omega \subset \mathbb{R}^d

over long time is proposed and analyzed. For a wave equatio ...

MATHICSE2016

The Sommerfeld half-space problem revisited: from radio frequencies and Zenneck waves to visible light and Fano modes

Juan Ramon Mosig, Krzysztof Michalski

The classical Sommerfeld half-space problem is revisited, with generalizations to multilayer and plasmonic media and focus on the surface field computation. A new ab initio solution is presented for an arbitrarily oriented Hertzian dipole radiating in the ...

Taylor & Francis Ltd2016

Analysis of lightning electromagnetic field propagation in mountainous terrain and its effects on ToA-based lightning location systems

Marcos Rubinstein, Mohammad Azadifar, Zhaoyang Wang, Keyhan Sheshyekani, Dongshuai Li, Qilin Zhang

In this paper, we analyze the propagation effects on lightning-radiated electromagnetic fields over mountainous terrain by using a three-dimensional (3-D) finite difference time domain (FDTD) method. We also discuss the time delay error in the time-of-arri ...

Amer Geophysical Union2016

The Interface Control Domain Decomposition Method For Stokes-Darcy Coupling

Alfio Quarteroni, Marco Discacciati

The interface control domain decomposition (ICDD) method of Discacciati, Gervasio, and Quarteroni [SIAM J. Control Optim., 51 (2013), pp. 3434-3458, doi:10.1137/120890764; J. Coupled Syst. Multiscale Dyn., 1 (2013), pp. 372-392, doi:10.1166/jcsmd.2013.1026 ...

Siam Publications2016

Accelerated ADMM based on Accelerated Douglas-Rachford Splitting

Colin Neil Jones, Ivan Pejcic

Alternating direction method of multipliers (ADMM) is a form of augmented Lagrangian optimisation algorithm that found its place in many new applications in recent years. This paper explores a possibility for an upgrade of the ADMM by extrapolation-based a ...

Ieee2016

Reduced basis method and domain decomposition for elliptic problems in networks and complex parametrized geometries

Alfio Quarteroni, Gianluigi Rozza, Laura Iapichino

The aim of this work is to solve parametrized partial differential equations in computational domains represented by networks of repetitive geometries by combining reduced basis and domain decomposition techniques. The main idea behind this approach is to ...

Elsevier2016

Effective models for the multidimensional wave equation in heterogeneous media over long time and numerical homogenization

Timothée Noé Pouchon, Assyr Abdulle

A family of effective equations that capture the long time dispersive effects of wave propagation in heterogeneous media in an arbitrary large periodic spatial domain Omega subset of R-d is proposed and analyzed. For a wave equation with highly oscillatory ...

World Scientific Publ Co Pte Ltd2016

Wave propagation in periodic buckled beams. Part I: Analytical models and numerical simulations

Alessandro Spadoni, Florian Paul Robert Maurin

Periodic buckled beams possess a geometrically nonlinear, load-deformation relationship and intrinsic length scales such that stable, nonlinear waves are possible. Modeling buckled beams as a chain of masses and nonlinear springs which account for transver ...

Elsevier Science Bv2016

Modeling and evaluation of damping coefficient of eddy current dampers in rotordynamic applications

Eddy current dampers (ECD) can be used to introduce damping in rotordynamic applications. ECD5 are contactless in nature and can be made to introduce negligible drag force, thus being a perfect match for passive magnetic bearings such as permanent magnet b ...

Academic Press Ltd- Elsevier Science Ltd2016

MATHICSE Technical Report : Automatic reduction of PDEs defined on domains with variable shape

Andrea Manzoni, Federico Negri

In this work we propose a new, general and computationally cheap way to tackle parametrized PDEs defined on domains with variable shape when relying on the reduced basis method. We easily describe a domain by boundary parametrizations, and obtain domain de ...

MATHICSE2016

Optimization based methods for highly heterogeneous multiscale problems and multiscale methods for elastic waves

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MATHICSE Technical Report : Effective models for the multidimensional wave equation in heterogeneous media over long time and numerical homogenization

The Sommerfeld half-space problem revisited: from radio frequencies and Zenneck waves to visible light and Fano modes

Analysis of lightning electromagnetic field propagation in mountainous terrain and its effects on ToA-based lightning location systems

The Interface Control Domain Decomposition Method For Stokes-Darcy Coupling

Accelerated ADMM based on Accelerated Douglas-Rachford Splitting

Reduced basis method and domain decomposition for elliptic problems in networks and complex parametrized geometries

Effective models for the multidimensional wave equation in heterogeneous media over long time and numerical homogenization

Wave propagation in periodic buckled beams. Part I: Analytical models and numerical simulations

Modeling and evaluation of damping coefficient of eddy current dampers in rotordynamic applications

MATHICSE Technical Report : Automatic reduction of PDEs defined on domains with variable shape

The Interface Control Domain Decomposition Method For Stokes-Darcy Coupling

Modeling and evaluation of damping coefficient of eddy current dampers in rotordynamic applications

MATHICSE Technical Report : Automatic reduction of PDEs defined on domains with variable shape

Reduced basis method and domain decomposition for elliptic problems in networks and complex parametrized geometries

Effective models for the multidimensional wave equation in heterogeneous media over long time and numerical homogenization

Wave propagation in periodic buckled beams. Part I: Analytical models and numerical simulations

MATHICSE Technical Report : Effective models for the multidimensional wave equation in heterogeneous media over long time and numerical homogenization

The Sommerfeld half-space problem revisited: from radio frequencies and Zenneck waves to visible light and Fano modes

Analysis of lightning electromagnetic field propagation in mountainous terrain and its effects on ToA-based lightning location systems

Accelerated ADMM based on Accelerated Douglas-Rachford Splitting