We present novel multilevel particle methods with extended adaptivity in areas where increased resolution is required. We present two complementary approaches as inspired by r-adaptivity and adaptive mesh refinement (AMR) concepts introduced in finite difference and finite element schemes. For the r-adaptivity a new class of particle based mapping functions is introduced while the particle-AMR ...

Perceptrons with graded input-output relations and a limited output precision are studied within the Gardner–Derrida canonical ensemble approach. Soft non-negative error measures are introduced allowing for extended retrieval properties. In particular, the performance of these systems for a linear and quadratic error measure, corresponding to the perceptron respectively the adaline learning alg...

A comparative study on finite elements for capturing strong discontinuities by means of elemental (E-FEM) or nodal enrichments (XFEM) is presented. Based on the same constitutive model (continuum damage) and linear elements (triangles and tetrahedra) optimized implementations of both types of enrichments in the same non-linear code are tested for a representative set of 2D and 3D crack propagat...

The performance of a linear, discrete high performance track following controller in a hard disk drive is improved for its disturbance rejection by the introduction of a discrete non-linear, adaptive neural network (NN) element. The NN-element is deemed to be particularly effective for rejection of bias forces and friction. Theoretical, simulation and experimental results have been obtained. It...

Abstract This paper exhibits the coordinated control of 30 kVAr Distribution STATic synchronous COMpensator (DSTATCOM) with 125 Switchable Capacitor Banks for compensation reactive power in a 750 kVA secondary radial distribution system. With system, factor can be improved near to unity. The selected system mainly feeding vital loads an Educational Institution. In this paper, study is analyzed ...

A novel approach to anisotropic mesh-refinement of linear triangular elements in the finite element method is proposed. Using the method of solving a hierarchically refined dual problem in the a posteriori error analysis, indicators for edge refinement, rather than element refinement, can be obtained. A complete adaptive strategy is presented and illustrated by some numerical examples.

This paper describes a parallel adaptive strategy based on discontinuous hp-finite element approximations oflinear, scalar, hyperbolic conservation laws. The paper focuses on the development of an effective parallel adaptive strategy for such problems, Numerical experiments suggest that these techniques arc highly parallelizablc a.nd deliver super-linear rates of convergence, thereby yielding e...

This paper concerns an adaptive finite element method for the Stefan one-phase problem. We derive a parabolic variational inequality using the Duvaut transformation [1]. In each time-step we consider an adaptive algorithm based on a combination of the Uzawa method associated with the corresponding multivalued operator and a convergent adaptive method for the linear problem. We justify the conve...

We propose the use of surface subdivision as adaptive and higher-order boundary elements for solving a Helmholtz partial differential equation to calculate accurate acoustics scattering on arbitrary manifolds. Such acoustic transfer functions prove useful for designing and tuning hearing aid devices for hearing impaired individuals. The number of unknowns of the discretized linear system is the...