Publications related to Integral Convexity And Parabolic Systems

On the direct evaluation of surface integral equation impedance matrix elements involving point singularities

The direct evaluation method tailored to the 4-D singular integrals over vertex adjacent triangles, arising in the first-kind and second-kind Fredholm surface integral equation formulations, is presented. A combination of singularity cancellation, reorderi ...

Institute of Electrical and Electronics Engineers2011

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 ANOVA expansions and strategies for choosing the anchor point

Jan Sickmann Hesthaven, Zhen Gao

The classic Lebesgue ANOVA expansion offers an elegant way to represent functions that depend on a high-dimensional set of parameters and it often enables a substantial reduction in the evaluation cost of such functions once the ANOVA representation is con ...

Elsevier2010

Folded Edge of Turbulence in a Pipe

Tobias Schneider

The results of an experimental investigation into the threshold boundary between laminar and disordered pipe flow are presented. Complex features have been uncovered using a highly refined experimental approach where an intermediate periodic state forms an ...

2010

ELM filament interaction with the JET main chamber☆

Richard Pitts, Gilles Arnoux

This work constitutes the first extended analysis of the spatial structure of Type-I ELM filament footprints on the JET outer limiters and upper dump plates. The data is obtained using a wide angle infrared diagnostic (with time resolution of 125 Hz) and c ...

Elsevier2009

Analytical evaluation of the quadruple static potential integrals on rectangular domains to solve 3D electromagnetic problems

Juan Ramon Mosig, Sergio Lopez Pena

In this communication, original analytical expressions for the quadruple static potential singular integrals on rectangular domains are presented. These integrals can appear when the method of moments is used to solve the mixed potential integral equation ...

2009

Treatment of renal artery aneurysm with the multilayer stent

Luca Augsburger, Daniel Ruefenacht, Bastien Chopard, Isabelle Henry

Purpose: To describe a new type of stent consisting of a 3-dimensional (3D) braided tube made of 2 interconnected layers without any covering to treat a renal artery aneurysm. ...

2008

The role of perspective functions in convexity, polyconvexity, rank-one convexity and separate convexity

Bernard Dacorogna

Any finite, separately convex, positively homogeneous function on

\mathbb{R}^2

is convex. This was first established by the first author ["Direct methods in calculus of variations", Springer-Verlag (1989)]. Here we give a new and concise proof of this re ...

2008

Analytical evaluation of the quadruple static potential integrals on rectangular domains to solve 3D electromagnetic problems

Juan Ramon Mosig, Sergio Lopez Pena

In this communication, original analytical expressions for the quadruple static potential singular integrals on rectangular domains are presented. These integrals can appear when the method of moments is used to solve the mixed potential integral equation ...

2008

On the coupling integrals arising in the method of moments formulation of laterally bounded structures

Juan Ramon Mosig, Ivica Stevanovic, Pedro Crespo Valero

A generic integral equation and method of moments formulation is presented for laterally bounded stratified media including planar metallization. The main asset of the developed approach is its flexibility, as it encompasses generic lateral boundary condit ...

2008

Integral Convexity And Parabolic Systems

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On the direct evaluation of surface integral equation impedance matrix elements involving point singularities

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

On ANOVA expansions and strategies for choosing the anchor point

Folded Edge of Turbulence in a Pipe

ELM filament interaction with the JET main chamber☆

Analytical evaluation of the quadruple static potential integrals on rectangular domains to solve 3D electromagnetic problems

Treatment of renal artery aneurysm with the multilayer stent

The role of perspective functions in convexity, polyconvexity, rank-one convexity and separate convexity

Analytical evaluation of the quadruple static potential integrals on rectangular domains to solve 3D electromagnetic problems

On the coupling integrals arising in the method of moments formulation of laterally bounded structures

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

On the direct evaluation of surface integral equation impedance matrix elements involving point singularities

On ANOVA expansions and strategies for choosing the anchor point

Folded Edge of Turbulence in a Pipe

Analytical evaluation of the quadruple static potential integrals on rectangular domains to solve 3D electromagnetic problems

The role of perspective functions in convexity, polyconvexity, rank-one convexity and separate convexity

On the coupling integrals arising in the method of moments formulation of laterally bounded structures

Analytical evaluation of the quadruple static potential integrals on rectangular domains to solve 3D electromagnetic problems

Treatment of renal artery aneurysm with the multilayer stent

ELM filament interaction with the JET main chamber☆