Finite Element Methods in Civil and Mechanical Engineering A Mathematical Introduction
Auteurs : Angoshtari Arzhang, Matin Ali Gerami
The finite element method is widely employed for numerical simulations in engineering and science due to its accuracy and efficiency. This concise introduction to the mathematical theory of the finite element method presents a selection of applications in civil and mechanical engineering including beams, elastic membranes, the wave equation, heat transfer, seepage in embankment, soil consolidation, incompressible fluids, and linear elasticity. Jupyter notebooks containing all Python programs of each chapter can be downloaded from the book's companion website.
Arzhang Angoshtari is an assistant professor and Ali Gerami Matin is a graduate student, both in the department of Civil and Environmental Engineering at the George Washington University, USA. Their research interests cover theoretical and computational mechanics and finite element methods.
Overview. Preliminaries. Finite Element Interpolation. The Finite Element Method. Applications.
Arzhang Angoshtari is an assistant professor and Ali Gerami Matin is a graduate student, both in the department of Civil and Environmental Engineering at the George Washington University, USA. Their research interests cover theoretical and computational mechanics and finite element methods.
Date de parution : 12-2020
15.6x23.4 cm
Date de parution : 12-2020
15.6x23.4 cm
Thèmes de Finite Element Methods in Civil and Mechanical Engineering :
Mots-clés :
Mixed Finite Element Methods; MATLAB; Global Shape Functions; FENICS; Fem; Poisson’s equation; Finite Element Space; advection-diffusion; Bilinear Form; linear elasticity; Raviart Thomas Element; Mixed finite elements; Lagrange Elements; incompressible fluids; Computer Exercise; Green’s Formula; Stiffness Matrix; Sobolev Spaces; Finite Element; Galerkin Method; Vector Field; Mechanical engineering; Finite Element Approximations; Poisson's equation; Normed Linear Spaces; MATLAB codes; Robin Boundary Condition; FENICS scripts; Linearly Independent; Finite element method; Implicit Finite Element Method; Dirichlet Boundary Condition; Elliptic PDEs; Homogeneous Dirichlet Boundary Condition; Linear Space; Time Dependent PDEs; Implicit Euler Method; Jupyter Notebook; Single Field Formulation; Finite Element Solution
