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... finite element method (X-FEM) in computational fracture mechanics. Our main attention is placed on the modeling of cracks (strong discontinuities) for ... We introduce a new methodology for modeling problems with both weak and strong discontinuities independently of the finite element discretization. Mar 17, 2016 ... The method discretizes the parameter space and finds an approximate solution by solving a large system of linear equations. Here we investigate ... School of Engineering. Introduction to the finite element method; formulation of linear BVP arising in engineering analysis; solution of model problems in 1D ... Nov 5, 2023 ... The proposed method is slightly more costly than the conventional method, it significantly reduces the error, particularly at small time step sizes. Derivation and implementation of the finite element method; basic coding techniques; application to problems of stress and diffusion. Three lecture hou… In this first lecture the following topics are discussed: Introduction to the Finite Element Method and finite element formulation using the Direct Stiffness ... Description. Matrix algebra and the Rayleigh-Ritz technique are applied to the development of the finite element method. The minimum potential energy theorem, ... On the truncation error of discrete approximations into the solution of Dirichlet problems in a domain with corners. The finite element (FE) method has been used to describe the stressed situation within the periodontal ligament (PDL) and surrounding alveolar bone.
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