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Titlebook: Singular Phenomena and Scaling in Mathematical Models; Michael Griebel Book 2014 Springer International Publishing Switzerland 2014 mathem

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On Prandtl-Reuss Mixtures two elastic plastic materials, soft and hard, that co-exist while the soft material can be transformed into the hard material. Regarding elastic responses we remain in a simplified framework of linearized elasticity. Incorporating tools such as variational inequalities, penalty approximations and S
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Energy Scaling and Domain Branching in Solid-Solid Phase Transitionsonnected matrices representing the eigenstrains of two martensitic variants. We study the scaling of the minimal energy under Dirichlet boundary conditions corresponding to the average of . and .. In the case that . and . have two rank-one connections we show that the minimum of . scales, for small
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Simulation of Droplet Impact with Dynamic Contact Angle Boundary Conditionsy and time-consuming. In these simulations, the dynamic contact angle is a key parameter, but the modeling of its behavior is poorly understood so far. In this article, we simulate droplet impact on a dry flat surface by using two different contact angle models. Both models show good qualitative and
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A Moving Least Squares Approach to the Construction of Discontinuous Enrichment Functionsation problem arises when so-called enrichment functions for a generalized finite element method are computed by a particle scheme on a finer scale. The presented approach is similar in spirit to the so-called visibility criterion but avoids the explicit reconstruction of the location of the discont
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Second Moment Analysis for Robin Boundary Value Problems on Random Domainsandom solution with leading order in the amplitude of the random boundary perturbation relative to an unperturbed, nominal domain. The variance is computed from the solution’s two-point correlation which satisfies a deterministic boundary value problem on the tensor product of the nominal domain. We
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