Example of the Smooth Skew Product in the Plane with the One-dimensional Ramified
            Continuum as the Global Attractor*

L.S. Efremova

Displaying similar documents to “ Example of the Smooth Skew Product in the Plane with the One-dimensional Ramified Continuum as the Global Attractor*”

The role of the patch test in 2D atomistic-to-continuum coupling methods

Christoph Ortner (2012)

ESAIM: Mathematical Modelling and Numerical Analysis

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For a general class of atomistic-to-continuum coupling methods, coupling multi-body interatomic potentials with a P-finite element discretisation of Cauchy–Born nonlinear elasticity, this paper adresses the question whether (or, absence of ) implies a first-order error estimate. In two dimensions it is shown that this is indeed true under the following additional technical assumptions: (i) an energy consistency condition, (ii) locality of the interface correction, (iii) volumetric scaling...

The role of the patch test in 2D atomistic-to-continuum coupling methods

Christoph Ortner (2012)

ESAIM: Mathematical Modelling and Numerical Analysis

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Morphisms preserving the set of words coding three interval exchange

Tomáš Hejda (2012)

RAIRO - Theoretical Informatics and Applications

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Any amicable pair , of Sturmian morphisms enables a construction of a ternary morphism which preserves the set of infinite words coding 3-interval exchange. We determine the number of amicable pairs with the same incidence matrix in SL(2,ℕ) and we study incidence matrices associated with the corresponding ternary morphisms .

The mixed regularity of electronic wave functions multiplied by explicit correlation factors

Harry Yserentant (2011)

ESAIM: Mathematical Modelling and Numerical Analysis

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The electronic Schrödinger equation describes the motion of electrons under Coulomb interaction forces in a field of clamped nuclei. The solutions of this equation, the electronic wave functions, depend on 3 variables, three spatial dimensions for each electron. Approximating them is thus inordinately challenging. As is shown in the author's monograph [Yserentant, , Springer (2010)], the regularity of the solutions, which increases with the number of electrons,...

A well-balanced finite volume scheme for 1D hemodynamic simulations

Olivier Delestre, Pierre-Yves Lagrée (2012)

ESAIM: Proceedings

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We are interested in simulating blood flow in arteries with variable elasticity with a one dimensional model. We present a well-balanced finite volume scheme based on the recent developments in shallow water equations context. We thus get a mass conservative scheme which also preserves equilibria of = 0. This numerical method is tested on analytical tests.