Displaying similar documents to “Homogenization of a monotone problem in a domain with oscillating boundary”

Towards parametrizing word equations

H. Abdulrab, P. Goralčík, G. S. Makanin (2010)

RAIRO - Theoretical Informatics and Applications

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Classically, in order to resolve an equation ≈ over a free monoid *, we reduce it by a suitable family of substitutions to a family of equations ≈ , f , each involving less variables than ≈ , and then combine solutions of ≈ into solutions of ≈ . The problem is to get in a handy form. The method we propose consists in parametrizing the path traces in the so called associated to ≈ . We carry out such a parametrization in the case the prime equations in the graph involve at...

Homogenization of highly oscillating boundaries and reduction of dimension for a monotone problem

Dominique Blanchard, Antonio Gaudiello (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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We investigate the asymptotic behaviour, as ε → 0, of a class of monotone nonlinear Neumann problems, with growth -1 ( ∈]1, +∞[), on a bounded multidomain Ω ε N ( ≥ 2). The multidomain Ω is composed of two domains. The first one is a plate which becomes asymptotically flat, with thickness h in the direction, as ε → 0. The second one is a “forest" of cylinders distributed with -periodicity in the first - 1 directions on the upper side of the plate. Each...

Exponential convergence of quadrature for integral operators with Gevrey kernels

Alexey Chernov, Tobias von Petersdorff, Christoph Schwab (2011)

ESAIM: Mathematical Modelling and Numerical Analysis

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Galerkin discretizations of integral equations in d require the evaluation of integrals I = S ( 1 ) S ( 2 ) g ( x , y ) d y d x where , are -simplices and has a singularity at = . We assume that is Gevrey smooth for and satisfies bounds for the derivatives which allow algebraic singularities at = . This holds for kernel functions commonly occurring in integral equations. We construct a family of quadrature rules 𝒬 N using function evaluations of which...