Complex Variable Methods in Elasticity

Robustness Elasticity in Complex Networks

Network robustness refers to a network's resilience to stress or damage. Given that most networks are inherently dynamic, with changing topology, loads, and operational states, their robustness is also likely subject to change. However, in most analyses of network structure, it is assumed that interaction among nodes has no effect on robustness. To investigate the hypothesis that network robust...

Resampling Methods in Complex Survey Data

Microscopic elasticity of complex systems

Elasticity has the reputation of being a rather boring and un-physical subject. In fact, dealing with second (stress-strain) or fourth (elastic constants) rank tensor guarantees that the notations are in general rather heavy, and that the underlying physics is not easily captured. The elastic stress-strain behavior is, however, a very basic property of all solid materials, and one that is rathe...

review of radiographic methods in dental implantology

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Particle–partition of Unity Methods in Elasticity

The particle–partition of unity method (PUM) [1, 2, 3, 4, 5, 8] is a meshfree Galerkin method for the numerical treatment of partial differential equations (PDE). In essence, it is a generalized finite element method (GFEM) which employs piecewise rational shape functions rather than piecewise polynomial functions. The PUM shape functions, however, make up a basis of the discrete function space...