the paper is concerned with a methodology of optimal design of shells of minimum weight with strength, stability and strain constraints. stress and strain state of the shell is determined by galerkin method in the mixed finite element formulation within the geometrically nonlinear theory. the analysis of the effectiveness of different optimization algorithms to solve the set problem is given. t...

The problem of nonlinear stability of computational schemes is very important in numerical weather forecasts and climate simulations. In this paper, using the heuristic stability analysis method, and concerning a nonlinear advection equation, we compare and contrast the stability criterion of Galerkin Finite Element Method scheme with that of general difference schemes, and especially, point ou...

The paper is concerned with a methodology of optimal design of shells of minimum weight with strength, stability and strain constraints. Stress and strain state of the shell is determined by Galerkin method in the mixed finite element formulation within the geometrically nonlinear theory. The analysis of the effectiveness of different optimization algorithms to solve the set problem is given. T...

CCHE3D model is developed at the National Center for Computational Hydroscience and Engineering, The University of Mississippi, for simulating unsteady, free surface, three-dimensional turbulent flows and sediment/pollutant transport and water quality. This model is based on Efficient Element Method, a collocation version of the Galerkin approach. The basic element is a cube with twenty-seven n...

In this paper, a new method for coupling the finite element method (FEM) and the element-free Galerkin method (EFGM) is proposed for linear elastic and geometrically nonlinear problems using local maximum entropy shape functions in the EFG zone of the problem domain. These shape functions possess a weak Kronecker delta property at the boundaries which provides a natural way to couple the EFG an...

An adaptive mesh refuiement scheme and data shucture has been developed in conjunction with a streamline upwind Petrov-Galerkin finite element formulation for anaiysis of the semiconductor device equations. The nonlinear elecaostatic potential equation and convection dorninated camier current continuity equations are iteratively decoupled in the solution algorithm. Incremental continuation is e...

In this paper, we study the existence, regularity, and approximation of solution for a class nonlinear fractional differential equations. order to do this, suitable variational formulations are defined boundary value problems with Riemann-Liouville Caputo derivatives together homogeneous Dirichlet condition. We investigate well-posedness also regularity corresponding weak solutions. Then, devel...

Abstract. This article is devoted to the study of the finite element approximation for a nonlocal nonlinear parabolic problem. Using a linearised Crank-Nicolson Galerkin finite element method for a nonlinear reaction-diffusion equation, we establish the convergence and error bound for the fully discrete scheme. Moreover, important results on exponential decay and vanishing of the solutions in f...