Publications related to A concurrent atomistic and continuum coupling method with applications to thermo-mechanical problems

A priori error estimates for discontinuous finite volume discretizations of the Brinkman optimal control problem

In this paper we discuss a discontinuous finite volume method for the approximation of distributed optimal control problem governed by the Brinkman equations written in terms of velocity and pressure. An additional force field is sought such that it produc ...

2015

Detailed classification of swimming paths in the Morris Water Maze: multiple strategies within one trial

Maria del Carmen Sandi Perez, Eleni Vasilaki, Gediminas Luksys

The Morris Water Maze is a widely used task in studies of spatial learning with rodents. Classical performance measures of animals in the Morris Water Maze include the escape latency, and the cumulative distance to the platform. Other methods focus on clas ...

Nature Publishing Group2015

Developing a 3D finite element model for reinforced concrete

Lucas Henri Galilée Frérot

The embedded model is used in finite elements to account for the influence of the reinforcement in concrete. This report describes the embedded model, its concept and equations. Details are also given as to the constitutive relations of concrete and steel. ...

2015

High order numerical approximation of the invariant measure of ergodic SDEs

Assyr Abdulle, Gilles Vilmart

We introduce new sufficient conditions for a numerical method to approximate with high order of accuracy the invariant measure of an ergodic system of stochastic differential equations, independently of the weak order of accuracy of the method. We then pre ...

Society for Industrial and Applied Mathematics2014

Analysis and application of the nodal discontinuous Galerkin method for wave propagation in metamaterials

Jan Sickmann Hesthaven

In this paper, we develop a nodal discontinuous Galerkin method for solving the time-dependent Maxwell's equations when metamaterials are involved. Both semi- and fully-discrete schemes are constructed. Numerical stability and error estimate are proved for ...

Elsevier2014

Finite element heterogeneous multiscale method for the wave equation: long-time effects

Assyr Abdulle

A new finite element heterogeneous multiscale method (FE-HMM) is proposed for the numerical solution of the wave equation over long times in a rapidly varying medium. Our new FE-HMM-L method captures not only the short-time behavior of the wave field, well ...

Siam Publications2014

Moment equations for the mixed formulation of the Hodge Laplacian with stochastic loading term

Fabio Nobile, Annalisa Buffa, Francesca Bonizzoni

We study the mixed formulation of the stochastic Hodge-Laplace problem dened on a

n

-dimensional domain

D (n ≥ 1)

, with random forcing term. In particular, we focus on the magnetostatic problem and on the Darcy problem in the three dimensional case. We ...

2014

Micro-preparation of wooden samples to study the distribution of natural glue systems in wood

Wood properties at macroscopic scale depend on its structure at microscopic scale. Currently, there are few data concerning the microscopic-macroscopic relationship, and this is why here is detailed and developed a method of wood slicing with a thickness o ...

2014

Multiscale Modeling of Thermo-Mechanical Coupling Between Atomistic and Continuum Domains

Srinivasa Babu Ramisetti

The motivation to study multiscale problems such as friction and crack propagation/nucleation has triggered the development of multiscale models. The state-of-the-art multiscale models that have been developed until today are successfully applied to a vari ...

EPFL2013

Multilevel Monte Carlo methods for stochastic elliptic multiscale PDEs

Assyr Abdulle

In this paper Monte Carlo finite element approximations for elliptic homogenization problems with random coefficients, which oscillate on n is an element of N a priori known, separated microscopic length scales, are considered. The convergence of multileve ...

2013

A concurrent atomistic and continuum coupling method with applications to thermo-mechanical problems

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A priori error estimates for discontinuous finite volume discretizations of the Brinkman optimal control problem

Detailed classification of swimming paths in the Morris Water Maze: multiple strategies within one trial

Developing a 3D finite element model for reinforced concrete

High order numerical approximation of the invariant measure of ergodic SDEs

Analysis and application of the nodal discontinuous Galerkin method for wave propagation in metamaterials

Finite element heterogeneous multiscale method for the wave equation: long-time effects

Moment equations for the mixed formulation of the Hodge Laplacian with stochastic loading term

Micro-preparation of wooden samples to study the distribution of natural glue systems in wood

Multiscale Modeling of Thermo-Mechanical Coupling Between Atomistic and Continuum Domains

Multilevel Monte Carlo methods for stochastic elliptic multiscale PDEs

Developing a 3D finite element model for reinforced concrete

Detailed classification of swimming paths in the Morris Water Maze: multiple strategies within one trial

Multiscale Modeling of Thermo-Mechanical Coupling Between Atomistic and Continuum Domains

Analysis and application of the nodal discontinuous Galerkin method for wave propagation in metamaterials

Moment equations for the mixed formulation of the Hodge Laplacian with stochastic loading term

Micro-preparation of wooden samples to study the distribution of natural glue systems in wood

A priori error estimates for discontinuous finite volume discretizations of the Brinkman optimal control problem

Finite element heterogeneous multiscale method for the wave equation: long-time effects

Multilevel Monte Carlo methods for stochastic elliptic multiscale PDEs

High order numerical approximation of the invariant measure of ergodic SDEs