A NUMERICAL MANIFOLD METHOD FOR PLANE MICROPOLAR ELASTICITY

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We prove that the set of-y-thick points of a planar Gaussian free field (GFF) with Dirichlet boundary conditions is a.s. totally disconnected for all-y =6 0. Our proof relies on the coupling between a GFF and the nested CLE4. In particular, we show that th ...

We consider nonlinear parabolic stochastic PDEs on a bounded Lipschitz domain driven by a Gaussian noise that is white in time and colored in space, with Dirichlet or Neumann boundary condition. We establish existence, uniqueness and moment bounds of the r ...

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Permeability measurements of engineering textiles exhibit large variability as no standardization method currently exists; numerical permeability prediction is thus an attractive alternative. It has all advantages of virtual material characterization, incl ...

In this paper, we consider the first eigenvalue.1(O) of the Grushin operator.G :=.x1 + |x1|2s.x2 with Dirichlet boundary conditions on a bounded domain O of Rd = R d1+ d2. We prove that.1(O) admits a unique minimizer in the class of domains with prescribed ...

This work studies the nearshore hydrodynamics of a shallow turbulent flow entering a laterally unconfined quiescent ambient with a sloping bottom boundary. Examples of such flow are neutrally buoyant ebb tidal jets and hyperpycnal river plumes entering ope ...

An a posteriori error estimator based on an equilibrated flux reconstruction is proposed for defeaturing problems in the context of finite element discretizations. Defeaturing consists in the simplification of a geometry by removing features that are consi ...

Machine learning has paved the way for the real-time monitoring of complex infrastructure and industrial systems. However, purely data-driven methods have not been able to learn the underlying dynamics and generalize them to operating conditions that have ...

This paper investigates the structural response of laminated glass beams under combined fire-exposure and sustained in-plane loading. This is done by means of experimental testing and Finite Element (FE) numerical modelling. Firstly, small-scale (1 m long) ...

This paper deals with fast simulations of the hemodynamics in large arteries by considering a reduced model of the associated fluid-structure interaction problem, which in turn allows an additional reduction in terms of the numerical discretisation. The re ...

A NUMERICAL MANIFOLD METHOD FOR PLANE MICROPOLAR ELASTICITY

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Thick points of the planar GFF are totally disconnected for all & gamma;=6 0*

Parabolic stochastic PDEs on bounded domains with rough initial conditions: moment and correlation bounds

Friction and fracture: richness and complexity in dynamic rupture

Reduced order models for coupled systems

Benchmark exercise on image-based permeability determination of engineering textiles: Microscale predictions

The first Grushin eigenvalue on cartesian product domains

Laterally unconfined neutral or negative buoyancy inflow into a quiescent ambient over sloping bottom

An equilibrated flux a posteriori error estimator for defeaturing problems

Graph neural networks for dynamic modeling of roller bearings

Structural response of fire-exposed laminated glass beams under sustained loads; exploratory experiments and FE-Simulations

Reduced Numerical Approximation of Reduced Fluid-Structure Interaction Problems With Applications in Hemodynamics