Concept

Équation de Poisson

Publications associées (66)

On determination of the constitutive behavior of tempered martensitic steels from micro-indentations: Application to Eurofer97 steel

This paper proposes a simple but powerful approach to determine the constitutive equation of tempered martensitic steels from micro-hardness tests. Finite element simulations were used to investigate the plastic flow in the contact region between the tip a ...

Elsevier Science Bv2013

Revised self-consistent continuum solvation in electronic-structure calculations

Nicola Marzari, Oliviero Andreussi

The solvation model proposed by Fattebert and Gygi [J. Comput. Chem. 23, 662 (2002)] and Scherlis et al. [J. Chem. Phys. 124, 074103 (2006)] is reformulated, overcoming some of the numerical limitations encountered and extending its range of applicability. ...

2012

Robust semi-analytical integration of singular impedance matrix elements in surface integral equation solvers

Juan Ramon Mosig

The direct evaluation method tailored to the 4-D singular integrals arising in the second-kind Fredholm surface integral equation formulations is presented. The proposed semi-analytical integration scheme extends the existing singularity cancellation metho ...

2011

Fast and accurate computation of hyper-singular integrals in Galerkin surface integral equation formulations via the direct evaluation method

Juan Ramon Mosig

Hypersingular 4-D integrals, arising in the Galerkin discretization of surface integral equation formulations, are computed by means of the direct evaluation method. The proposed scheme extends the basic idea of the singularity cancellation methods, usuall ...

Institute of Electrical and Electronics Engineers2011

On the analytic-numeric treatment of weakly singular integrals on arbitrary polygonal domains

Juan Ramon Mosig, Sergio Lopez Pena

An alternative analytical approach to calculate the weakly singular free-space static potential integral associated to uniform sources is presented. Arbitrary oriented flat polygons are considered as integration domains. The technique stands out by its mat ...

EMW Publishing2011

Efficient machine precision computation of impedance matrix elements in surface integral equation formulations

Juan Ramon Mosig

The direct evaluation program tailored to the singular integrals arising in the first-kind and second-kind Fredholm surface integral equation formulations is presented. The exponential convergence of the proposed technique can safely guarantee the inherite ...

2011

An ultra high-speed, mixed-signal emulator for solving power system dynamic equations

Maher Kayal, Laurent Fabre, Ira Nagel, Fabrizio Lo Conte, Guillaume Olivier Lanz

This paper focuses on a new pipelined processing unit architecture dedicated to mixed-signal power system emulation. Prior research in this field has proven that analog emulation overcomes the speed limits of numerical simulators with reliable accuracy. Th ...

IEEE2011

Combined Antenna and Localized Plasmon Resonance in Raman Scattering from Random Arrays of Silver-Coated, Vertically Aligned Multiwalled Carbon Nanotubes

Olivier Martin, Andreas Kern

The electric field enhancement associated with detailed structure within novel optical antenna nanostructures is modeled using the surface integral equation technique in the context of surface-enhanced Raman scattering (SERS). The antennae comprise random ...

2011

Lagrange-Poincare field equations

Tudor Ratiu, François Gay-Balmaz

The Lagrange-Poincare equations of classical mechanics are cast into a field theoretic context together with their associated constrained variational principle. An integrability/reconstruction condition is established that relates solutions of the original ...

2011

A Numerical Study Of Some Hessian Recovery Techniques On Isotropic And Anisotropic Meshes

Marco Picasso

Spaces of continuous piecewise linear finite elements are considered to solve a Poisson problem, and several numerical methods are investigated to recover second derivatives. Numerical results on 2D and 3D isotropic and anisotropic meshes indicate that the ...

2011

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