This Chapter describes the concurrent coupling of atomistic methods with continuum mechanics. Such models are useful in the study of phenomena such as fracture and dislocation dynamics, where molecular mechanics and/or quantum mechanics models are required for phenomena such as bond breaking, but the relevant configuration is far too large to permit a completely atomic description. To make such...

A new frequency domain system identification method based on a multi-frequency input signal is proposed. Frequency contents of the oscillating signal are estimated using a modified Kaczmarz algorithm proposed in this paper. Lyapunov stability analysis is performed for this new Kaczmarz algorithm and transient bounds for estimation error are established. Moreover, a new method for estimation of ...

A parallel iterative nonoverlapping domain decomposition method is proposed and analyzed for elliptic problems. Each iteration in this method contains two steps. In the rst step, at the interface of two subdomains, one subdomain problem requires that Dirichlet data be passed to it from the previous iteration level, while the other subdomain problem requires Neumann data be passed to it. In the ...

The discrete cosine transform (DCT) offers superior energy compaction properties for a large class of functions and has been employed as a standard tool in many signal and image processing applications. However, it suffers from spurious behavior in the vicinity of edge discontinuities in piecewise smooth signals. To leverage the sparse representation provided by the DCT, in this article, we der...

A domain is a region in a ferromagnetic material with the magnetization along a given direction. A magnetic material contains many domains with different magnetizations pointing in different directions in order to minimize the total magnetostatic energy. Regions with different orientations of their magnetization can be close to one another albeit with a boundary called a domain wall (containing...

This paper presents the suite of principles, designs criteria and verification process used in the knowledge conceptualization process of a consensuated domain ontology in the domain of chemicals. To achieve agreement between different development teams we propose the use of a common and shared conceptual model as starting point. To capture domain knowledge of a given domain and organize it in ...

We present a time-domain formulation of electrodynamics based on the self-consistent derivation of the electromagnetic field in a linear, dispersive, lossy object via the coupled dipole method.

In this paper we propose and analyze a new parallel SOR method, the PSOR method, formulated by using domain partitioning and interprocessor data communication techniques. We prove that the PSOR method has the same asymptotic rate of convergence as the Red/Black (R/B) SOR method for the five-point stencil on both strip and block partitions, and as the four-color (R/B/G/O) SOR method for the nine...