Concept

Numerical methods for partial differential equations

Publications associées (1 000)

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In this thesis, we study two distinct problems. The first problem consists of studying the linear system of partial differential equations which consists of taking a k-form, and applying the exterior derivative 'd' to it and add the wedge product with a 1- ...

EPFL2018

Scaling and Resilience in Numerical Algorithms for Exascale Computing

Allan Svejstrup Nielsen

The first Petascale supercomputer, the IBM Roadrunner, went online in 2008. Ten years later, the community is now looking ahead to a new generation of Exascale machines. During the decade that has passed, several hundred Petascale capable machines have bee ...

EPFL2018

Numerical methods for hydraulic fracture propagation: a review of recent trends

Brice Tanguy Alphonse Lecampion, Xi Zhang

Development of numerical methods for hydraulic fracture simulation has accelerated in the past two decades. Recent advances in hydraulic fracture modeling and simulation are driven by increased industry and research activity in oil and gas, a drive toward ...

2018

An Adjoint-Based Method For The Numerical Approximation Of Shape Optimization Problems In Presence Of Fluid-Structure Interaction

Andrea Manzoni

In this work, we propose both a theoretical framework and a numerical method to tackle shape optimization problems related with fluid dynamics applications in presence of fluid-structure interactions. We present a general framework relying on the solution ...

EDP SCIENCES S A2018

An artificial neural network as a troubled-cell indicator

Jan Sickmann Hesthaven, Deep Ray

High-resolution schemes for conservation laws need to suitably limit the numerical solution near discontinuities, in order to avoid Gibbs oscillations. The solution quality and the computational cost of such schemes strongly depend on their ability to corr ...

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Distributed Optimization and Control using Operator Splitting Methods

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The significant progress that has been made in recent years both in hardware implementations and in numerical computing has rendered real-time optimization-based control a viable option when it comes to advanced industrial applications. At the same time, t ...

EPFL2018

Electromagnetic Waves in a Time Periodic Medium With Step-Varying Refractive Index

Romain Christophe Rémy Fleury, Theodoros Koutserimpas

We present an exact mathematical framework for electromagnetic wave propagation in periodically time-modulated media, in which the permittivity is homogenous and modulated in a step-varying fashion. By using Hill’s equation theory, we show that this proble ...

2018

Conservative Model Order Reduction for Fluid Flow

Qian Wang, Jan Sickmann Hesthaven, Nicolò Ripamonti, Babak Maboudi Afkham

In the past decade, model order reduction (MOR) has been successful in reducing the computational complexity of elliptic and parabolic systems of partial differential equations (PDEs). However, MOR of hyperbolic equations remains a challenge. Symmetries an ...

Springer Verlag2018

PDE-constrained optimal control problems with uncertain parameters using SAGA

Fabio Nobile, Matthieu Claude Martin

We consider an optimal control problem for an elliptic partial differential equation (PDE) with random coefficients. The control function is a deterministic, distributed forcing term that minimizes an expected quadratic regularized loss functional. We cons ...

2018

Multiscale Porosity Microfluidics Model

Jiande Zhou

Create a 3D micromodel (with microfluidics technique) as a representation of complex porous media (mimic groundwater environment); Experimental and numerical study of transport phenomenon in porous media ...

2018

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