in this paper we show that if q is a power of a prime p , then the projective special linear group psl(2, q) and the stabilizer of a point of the projective line have maximum sum element orders among all proper subgroups of projective general linear group pgl(2, q) for q odd and even respectively

Harmonics are undesirable greater frequencies that overlaid on the fundamental sinusoidal waveform resulting in creating a distorted waveform. This distortion forms non-sinusoidal composed of set harmonic frequencies, which is harmful to electrical power supply lines. paper proposes an ADALINE-based algorithm simulated with MATLAB using half-cycle samples. Widrow and Hoff developed ADALINE, sin...

This paper proposes some efficient and accurate adaptive two-grid (ATG) finite element algorithms for linear nonlinear PDEs. The main idea of these is to utilize the solutions on $k$th-level meshes find $(k+1)$th-level which are constructed by performing bisections meshes. These transform nonsymmetric positive definite (non-SPD) PDEs (resp., PDEs) into symmetric (SPD) PDEs). proposed both due f...

We consider a family of practical stopping criteria for linear solvers for adaptive finite element methods for symmetric elliptic problems. A contraction property between two consecutive levels of refinement of the adaptive algorithm is shown when the a family of smallness criteria for the corresponding linear solver residuals are assumed on each level or refinement. More importantly, based on ...

We propose an adaptive finite element method for linear elliptic problems based on an optimal maximum norm error estimate. The algorithm produces a sequence of successively refined meshes with a final mesh on which a given error tolerance is satisfied. In each step the refinement to be made is determined by locally estimating the size of certain derivatives of the exact solution through compute...

The successful implementation of adaptive finite element methods based on a posteriori error estimates depends on several ingredients: an a posteriori error indicator, a refinement/coarsening strategy, and the choice of various parameters. The objective of the paper is to examine the influence of these factors on the performance of adaptive finite element methods for a model problem: the linear...