The use of numerical simulation as a design tool in engineering is nowadays routinely practiced. The initial stage of the simulation process is the generation of an appropriate mesh that is designed to capture ...

Energy dissipation by dislocation plasticity in metals provides the resistance against crack growth that makes metals tough engineering materials. However, homogenized plasticity constitutive laws must fail at a singular ...

In this paper we presenta methodology to performelasticity analyses of trabecular bone fromhuman wrist micro CT scans, with the final purpose of providing datawhich can be used, together with other measures, to develop new ...

To improve the quality of the results of a numerical simulation with a finite element method, mesh refinement is an effective solution. Various techniques have been implemented for many years. In the h-refinement method, ...

One of the trends in computational fluid dynamics today is the use of the ever-increasing computational resources for the high-fidelity simulation of more and more complex flows. For example, simulations are performed for ...

The Francfort-Marigo model of quasi-static brittle fracture [1] is a very accurate model, but requires minimizing a highly irregular energy functional. However, this functional can be approximated by a suitable regularization, ...

The Octree [1] technique is one of the most popular methods to produce hex-dominantmeshes. It starts by computing the Bounding Box (Bbox) of the input domain; anhexahedron that will define the root Octant. Then, this Octant ...

Generating energy from clean renewable sources is clearly attractive for a number reasons. In stark contrast to other further developed and exploited resources such as wind, tidal-based energy conversion has the crucial ...

In [2,1] the authors provide a new re-meshing technique based on a higher dimensional embedding to get a curvature adapted anisotropic surface mesh. In this work we extend this new technique to anisotropic mesh adaptation ...

Anisotropic mesh adaptation techniques have been shown to be very efficient in the last decade with very convincing applications. In modern anisotropic Finite Element, the element stretching can attain very high level as ...

TIn the computational physics community, a consensus is forming on the superior efficiency of high-order numerical schemes for problems with high resolution requirements. However, manycontributions show that a linear ...

In the last decade, the finite element method has shown to be a powerful and accurate computational tool to deal with material behavior and fluid-structure interaction simulations, with the increase on the computational ...

3D scanning and mapping are useful in several applications and, in particular, for urban outdoor environment modelling. These models can be used, for example, in flow computations for pollutant dispersion studies, thermal ...

Hydrocephalus is a serious neurological disorder caused by abnormalities in cerebrospinal fluid (CSF) flow, resulting in large brain deformations and neuronal damage. Treatments drain the excess CSF from the ventricles ...

In this paper, the approach proposed by Ladevèze and Pelle in 1989 [1] for deriving computable, sharp and guaranteed lower bounds for eigenvalues is revisited. The key lies in a static ...

The error magnitude and the order of accuracy of a new unsteady Variational MultiScale (VMS) solver are examined. Indeed, while vast majority of industrial simulations today are restricted to only computing a statistical ...

The present work considers the mathematical and numerical analysis of a new adaptive goal-oriented strategy based on local hpm discontinuous Galerkin (DG) method (h for grid, p for accuracy of shape function and m ...

In this work, we are interested in designing an adaptive version of domain decomposition algorithms [1] to control the error on the estimation of quantities of interest [2] for elliptic problems solved by the finite element ...

Nonintrusive UQ methods, roughly describing, use a (expected small) number of runs of a deterministic computational model, each one having as inputs judiciously chosen points of the stochastic input space. Statistics of ...

Helmholtz equation is classically encountered when modelling waves and vibrations. The numerical approximation of its solution is complex because of the generally small characteristic wavelength and of the potential ...

Real-time simulation systems equipped with haptic peripherals, like those employed in virtual surgery or industry lay-out design, require feedback rates on the order of 1kHz. Such an impressive requirement for a simulation ...

We consider the Hyper-reduction technique [1], in the framework of parametric structural dynamic problems. Efficient parametric models in hyper-reduction of structural design allow to act towards real time computations. ...

A “Smart Grid” is an efficient management of the electricity that uses computer technology in order to achieve a safe and sustainable electricity supply. They promise to improve the efficiency of power grid systems through ...

The reduced basis method [1,2] is an increasingly popular reduced order modeling technique for parameterized partial differential equations. In this talk, we will present a new reduced reduced basis method for affinely ...

When solving partial differential equations with parametrized (or random) coefficents, one usually needs to solve high dimensional problems for a large number of realizations of the coefficients, which is computationaly ...

The paper addresses the new numerical-analytical method for analyzing two-dimensional linearly elastic heterogeneous structures composed of a number of contiguous rectangles. For each rectangle we can build a common solution ...

I will present some numerical challenges raised by the simulation of materials at the atomistic level. One of the main difficulties is related to a timescale problem: at the molecular level, the typical timescale is much ...

The Monte Carlo approach in stochastic modeling requires multiple queries to numerical (typicallyfinite element) solutions of similar problems. In the case of random material fields, only the materialproperties vary between ...

In this work, we introduce a variance reduction approach for the homogenization of a random, linear elliptic second order partial differential equation set on a bounded domain in Rd. The random diffusion coefficient ...

We propose a numerical method for approximate the solution of a class of infinite dimensional parabolic problems. In particular, for the Fokker-Planck-Kolmogorov (FPK) equations in an infi- nite ...

The DDDAS concept has received an increasing interest during the last decade, in particular in the Computational Mechanics community [1]. The main idea is to create a feedback loop between a real system and its numerical ...

Although real-time object tracking is not a new problem in research in the field of computer vision, it still remains a problem that continues to receive much attention from researcher. Many approaches have been developed ...

Bayesian inversion has emerged in recent years as a very effective and versatile methodology for solving inverse problems in, e.g. oil recovery, weather forecasting, medical imaging etc. It amounts to predict, for given ...

The need for surrogate models and adaptive methods can be best appreciated if one is interested in parameter estimation using a Bayesian calibration procedure for validation purposes [1,2]. We extend our work on error ...

Goal-oriented error estimation [1] has seen increasing interest for adaptive discretizations of engineering problems, as these methods aim to minimize the error in the quantity of interest that motivates the engineering ...

In this paper, we extend the concept of modelling error estimation for the homogenisation of ellipticPDEs. In order to do so, we fully acknowledge that the rapid spatial variation of microscopicdiffusion constants cannot ...

In recent years there has been a growing interest in a particular class of nonlinear parabolic equations known as phase-field models, which is characterised by evolving diffuse interfaces instead of sharp interfaces. These ...

Because of the high complexity of steady-state or transient fluid flow solvers, non-intrusiveuncertainty propagation techniques have been developed in aerodynamic simulations for theconsideration of random inputs such as ...