In the classical form of the finite element method called the h version, piecewise polynomials of fixed degree p are used and the mesh size h is decreased for accuracy. In this paper, we discuss the ...
SIAM Journal on Numerical Analysis, Vol. 28, No. 4 (Aug., 1991), pp. 1004-1014 (11 pages) In this work a finite element method is introduced for the Mindlin-Reissner model that describes the ...
This repository showcases two major projects developed during the course Numerical Methods for PDEs, aiming to solve and analyze various physical problems using the Finite Element Method (FEM). The ...
Princeton's Dr. Jean H. Prévost and Serguei Bagrianski have released a book with World Scientific, entitled, An Introduction to Matrix Structural Analysis and Finite Element Methods. Based on a course ...
The Vector Form Intrinsic Finite Element (VFIFE) method represents an advanced computational approach that redefines conventional finite element analysis through an intrinsic, vector‐based formulation ...
The Helmholtz equation is a fundamental partial differential equation that underpins the analysis of wave propagation, acoustic scattering and electromagnetic phenomena. Its numerical solution is ...
This paper presents the vibration analysis of stiffened plates, using both conventional and super finite element methods. Mindlin plate and Timoshenko beam theories are utilized so as to formulate the ...