in this paper, the nonlinear free vibrations of thin symmetric and non-symmetric cross-ply composite plates subjected to biaxial initial stresses are investigated. because of their excellent properties such as specific strength and specific stiffness, composite plates have wide applications in aerospace and mechanical structures. based on von-karman's strain-displacement relations and using gal...

finite and boundary element methods have been used by many authors to solve mathematicalphysics problems. however, the coupling of these two methods happens to be more efficient as it combinestheir merits. in this paper, the mathematical analysis of the coupling of finite and boundary element methodsfor the helmholtz equation is presented.

Displacement finite element models of various beam theories have been developed traditionally using conventional finite element basis functions (i.e., cubic Hermite, equi-spaced Lagrange interpolation functions, or spectral/hp Legendre functions). Various finite element models of beams differ from each other in the choice of the interpolation functions used for the transverse deflection w, tota...

In this paper we provide estimates to the rate of convergence of the nonlinear Galerkin approximation method. In particular, and by means of an illustrative example, we show that the nonlinear Galerkin method converges faster than the usual Galerkin method.

In this work we address the analysis of stationary generalized Burgers-Huxley equation (a nonlinear elliptic problem with anomalous advection) and propose conforming, nonconforming discontinuous Galerkin finite element methods for its numerical approximation. The existence, uniqueness regularity weak solutions are discussed in detail using a Faedo-Galerkin approach fixed-point theory, priori er...

A Tay lo r -Ga le rk in f i n i t e element method f o r s o l v i n g large, non l i nea r t h e r m a l s t r u c t u r a l problems i s presented. The a l g o r i t h m i s formulated f o r coupled t r a n s i e n t and uncoupled quasi s t a t i c thermal s t r u c t u r a l problems. V e c t o r i z i n g s t r a t e g i e s ensure computat ional e f f i c i e n c y . Two a p p l i c a t i ...