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Path-following the static contact problem with Coulomb friction

Haslinger, Jaroslav, Janovský, Vladimír, Kučera, Radek (2013)

Applications of Mathematics 2013

Consider contact problem with Coulomb friction on two planar domains. In order to find non-unique solutions we propose a new path following algorithm: Given a linear loading path we approximate the corresponding solution path. It consists of oriented piecewise linear branches connected by transition points. We developed a) predictor-corrector algorithm to follow oriented linear branches, b) branching and orientation indicators to detect transition points. The techniques incorporate semi-smooth Newton...

Polysystem Modelling of Geographical Processes and Phenomena in Nature and Society

A. K. Cherkashin (2009)

Mathematical Modelling of Natural Phenomena

Polysystem methodology elaborated for comprehensive analysis of geographical objects considers them as interrelated systems of different types. Each systematic interpretation of a territorial object is formed as a theory describing this object with a special language used for construction of a certain type of models. This paper proposes new methods to develop geographical models and describes several types of systematic models constructed by these methods.

Preface

Guillaume Bal, Houman Owhadi (2014)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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