A Hermite interpolation element-free Galerkin method for piezoelectric materials

Piezoelectric materials have played an important role in industry due to a number of beneficial properties. However, most numerical methods for the piezoelectric materials need mesh, in which the mesh generation and remeshing are prominent difficulties. This paper proposes a Hermite interpolation element-free Galerkin method (HIEFGM) for piezoelectric materials, where the Hermite approximate approach and interpolation element-free Galerkin method (IEFGM) are combined. Based on the constitutive equation, geometric equation, and Galerkin integral weak form, the HIEFGM formulation for piezoelectric materials is established. In the proposed method, the problem domain is discretized by many nodes rather than the meshes, so the pre-processing of numerical computation is simplified. Furthermore, a new approximation technique based on the moving least squares method and Hermite approximate approach is used to derive the approximation function of field quantities. The derived approximation function has the Kronecker delta property and considers the field quantity normal derivatives of boundary nodes, which avoids the problem of imposing the essential boundary conditions and improves the accuracy of meshless approximation. The effects of the scaling factor, node density, and node arrangement on the accuracy of the proposed method are investigated. Numerical examples are given for assessing the proposed method and the results uniformly demonstrate the proposed method has excellent performance in analyzing piezoelectric materials.

Metadata For Root Cause Analysis

The paper is devoted to the task of finding the root cause of anomaly in a distributed information and computing system. An approximate approach is considered to detect implicit anomalies with accuracy to the object (of a component of the technical device, a node of a network infrastructure, an application or of an information resource). The approximate solution is based on the use of integral parameters that allow you to identify an anomaly, but do not allow you to indicate its cause. To work with such methods for determining the root causes of anomalies, auxiliary data is required, which is called metadata in the work. The work describes a metadata construction algorithm and shows ways of using metadata to build an object in which the root cause of the anomaly is located. An approximate solution to the problem of finding the root cause of an anomaly with a help of quickly computable values of integral parameters is necessary to reduce the time of interruption of work processes due to implicit anomalies. It is assumed that small subsystems and nodes are easier to replace than to delve into the study of the cause.

Homogeneous nucleation of NaCl in supersaturated solutions

The Seeding method is an approximate approach to investigate nucleation that combines molecular dynamics simulations with classical nucleation theory. This technique has been successfully implemented in a broad range of...