Published September 30, 2008
by Chapman & Hall/CRC .
Written in English
|The Physical Object|
The Mortar Finite Element Method: Basics, Theory and Implementation Exceptionally comprehensive, this work covers the mortar approach and the place that it holds in developing non-conforming numerical methods and allowing scientific computation on non-matching grids. The method is illustrated by means of computer code in both Fortran and. The Mortar Finite Element Method: Basics, Theory and Implementation (Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series) [Lacour, Catherine, Belgacem, Faker Ben] on *FREE* shipping on qualifying offers. The Mortar Finite Element Method: Basics, Theory and Implementation (Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series). Covering small and large deformation behaviour of solids and structures, it is an essential book for engineers and mathematicians. The new edition is a complete solids and structures text and reference in its own right and forms part of the world-renowned Finite Element Method series by /5(6). In the framework of domain decomposition methods, we extend the main ideas of the mortar element method to the numerical solution of Maxwell's equations (in wave form) by H(curl)-conforming finite elements. The method we propose turns out to be a new nonconforming, nonoverlapping domain decomposition method where nonmatching grids are allowed Cited by:
This thesis is also focused on domain decomposition methods for mortar nite elements. Our main goalhas been to obtain numerical and theoretical performance estimates for these methods of the same form as in the conforming nite element case. In Chapter 5, we analyze File Size: 1MB. The finite element method (FEM) is the most widely used method for solving problems of engineering and mathematical models. Typical problem areas of interest include the traditional fields of structural analysis, heat transfer, fluid flow, mass transport, and electromagnetic potential. The FEM is a particular numerical method for solving. A mortar-finite element formulation for friction contact problems Article in International Journal for Numerical Methods in Engineering 48(10) - August with 99 Reads. The purpose of this paper is to describe a domain decomposition technique: the mortar finite element method applied to contact problems between two elastic bodies. This approach allows the use of no-matching grids and to glue different discretizations across Cited by:
A mortar-type finite element approach for embedding 1D beams into 3D solid volumes. The extended finite element method (XFEM)  or immersed finite element methods [19, 36] have been used to. Spatial discretization with mortar element method With the formulation given in the previous sections, the lubricated contact problem can be summarized as the following variational problem: Find u ∈ C and p ∈ P, such that (38) G int, ext (u, u ∗) + G c (u, p, u ∗) = 0 ∀ u ∗ ∈ V and (39) G f (u, p, p ∗) = 0 ∀ p Cited by: The best book for beginners is definitely “ Textbook of finite element methods by ”. I would guarantee that this would definitely make you understand the basics of FEM. This book helps you imbibe that FEM is one of the “Numerical tool to s. THE MORTAR FINITE ELEMENT METHOD IN 2D: IMPLEMENTATION IN MATLAB J. Dan ek 1, H. Kut akov a 2 1 Department of Mathematics, University of West Bohemia, Pilsen 2 MECAS ESI s.r.o., Pilsen Abstract The paper is focused on the mortar nite element method for solving linear elliptic problems in 2D. The mortar nite element method is a nonconformingFile Size: KB.