MOOC

Analyse Numérique

Publications associées (1 000)

A comparative study of shock capturing models for the discontinuous Galerkin method

Dealing with strong shocks while retaining numerical dissipation of reasonably low level has been one of the major challenges for high order methods like discontinuous Galerkin. In the literature, various shock capturing models have been designed based on ...

Elsevier2017

Sequential Linear Quadratic Optimal Control for Nonlinear Switched Systems

Maryam Kamgarpour, Jonas Buchli, Farbod Farshidian

In this contribution, we introduce an efficient method for solving the optimal control problem for an unconstrained nonlinear switched system with an arbitrary cost function. We assume that the sequence of the switching modes are given but the switching ti ...

2017

Exact diffusion strategy for optimization by networked agents

Ali H. Sayed, Bicheng Ying, Kun Yuan

This work develops a distributed optimization algorithm with guaranteed exact convergence for a broad class of left-stochastic combination policies. The resulting exact diffusion strategy is shown to have a wider stability range and superior convergence pe ...

IEEE2017

MATHICSE Technical Report : A posteriori error estimators for hierarchical B-spline discretizations

Annalisa Buffa

In this article we develop function-based a posteriori error estimators for the solution of linear second order elliptic problems considering hierarchical spline spaces for the Galerkin discretization. We prove a global upper bound for the energy error. Th ...

MATHICSE2017

Development of Bidirectional Cyclic Lateral Loading Protocols for Experimental Testing of Steel Wide-Flange Columns

Dimitrios Lignos, Ahmed Mohamed Ahmed Elkady

Steel columns in frame buildings subjected to earthquake shaking undergo bidirectional lateral drift demands. Till now, the majority of past experimental and numerical studies were primarily concerned with the unidirectional column behavior. This paper pro ...

2017

Development of Bidirectional Cyclic Lateral Loading Protocols for Experimental Testing of Steel Wide-Flange Columns

Dimitrios Lignos, Ahmed Mohamed Ahmed Elkady

2017

Flexural quasi-static behaviour of UHPFRC and R-UHPFRC circular slab specimens

Eugen Brühwiler, Xiujiang Shen

This paper investigates experimentally and numerically the biaxial flexural behaviour of thin circular slab specimens made of Ultra High Performance Fibre Reinforced Cementitious Composite (UHPFRC). The circular slab specimens represent an external tensile ...

RILEM publications S.A.R.L.2017

Practical Sketching Algorithms For Low-Rank Matrix Approximation

Volkan Cevher, Alp Yurtsever

This paper describes a suite of algorithms for constructing low-rank approximations of an input matrix from a random linear image, or sketch, of the matrix. These methods can preserve structural properties of the input matrix, such as positive-semidefinite ...

Society for Industrial and Applied Mathematics2017

A discontinuous Galerkin reduced basis numerical homogenization method for fluid flow in porous media

Assyr Abdulle, Ondrej Budác

We present a new conservative multiscale method for Stokes flow in heterogeneous porous media. The method couples a discontinuous Galerkin finite element method (DG-FEM) at the macroscopic scale for the solution of an effective Darcy equation with a Stokes ...

2017

A posteriori error estimations for elliptic partial differential equations with small uncertainties

Fabio Nobile, Marco Picasso, Diane Sylvie Guignard

In this article, a finite element error analysis is performed on a class of linear and nonlinear elliptic problems with small uncertain input. Using a perturbation approach, the exact (random) solution is expanded up to a certain order with respect to a pa ...

2016

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