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Computational Framework For The Finite Element Method In Matlab And Python


Computational Framework For The Finite Element Method In Matlab And Python
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Computational Framework For The Finite Element Method In Matlab And Python


Computational Framework For The Finite Element Method In Matlab And Python
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Author : Pavel Sumets
language : en
Publisher: CRC Press
Release Date : 2022-08-11

Computational Framework For The Finite Element Method In Matlab And Python written by Pavel Sumets and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-11 with Computers categories.


Computational Framework for the Finite Element Method in MATLAB® and Python aims to provide a programming framework for coding linear FEM using matrix-based MATLAB® language and Python scripting language. It describes FEM algorithm implementation in the most generic formulation so that it is possible to apply this algorithm to as many application problems as possible. Readers can follow the step-by-step process of developing algorithms with clear explanations of its underlying mathematics and how to put it into MATLAB and Python code. The content is focused on aspects of numerical methods and coding FEM rather than FEM mathematical analysis. However, basic mathematical formulations for numerical techniques which are needed to implement FEM are provided. Particular attention is paid to an efficient programming style using sparse matrices. Features Contains ready-to-use coding recipes allowing fast prototyping and solving of mathematical problems using FEM Suitable for upper-level undergraduates and graduates in applied mathematics, science or engineering Both MATLAB and Python programming codes are provided to give readers more flexibility in the practical framework implementation



Automated Solution Of Differential Equations By The Finite Element Method


Automated Solution Of Differential Equations By The Finite Element Method
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Author : Anders Logg
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-02-24

Automated Solution Of Differential Equations By The Finite Element Method written by Anders Logg and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-02-24 with Computers categories.


This book is a tutorial written by researchers and developers behind the FEniCS Project and explores an advanced, expressive approach to the development of mathematical software. The presentation spans mathematical background, software design and the use of FEniCS in applications. Theoretical aspects are complemented with computer code which is available as free/open source software. The book begins with a special introductory tutorial for beginners. Following are chapters in Part I addressing fundamental aspects of the approach to automating the creation of finite element solvers. Chapters in Part II address the design and implementation of the FEnicS software. Chapters in Part III present the application of FEniCS to a wide range of applications, including fluid flow, solid mechanics, electromagnetics and geophysics.



Finite Element Computations In Mechanics With R


Finite Element Computations In Mechanics With R
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Author : Khameel Bayo Mustapha
language : en
Publisher: CRC Press
Release Date : 2018-04-17

Finite Element Computations In Mechanics With R written by Khameel Bayo Mustapha and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-17 with Science categories.


Finite Element Computations in Mechanics with R: A Problem-Centred Programming Approach provides introductory coverage of the finite element method (FEM) with the R programming language, emphasizing links between theory and implementation of FEM for problems in engineering mechanics. Useful for students, practicing engineers, and researchers, the text presents the R programming as a convenient easy-to-learn tool for analyzing models of mechanical systems, with finite element routines for structural, thermal, and dynamic analyses of mechanical systems, and also visualization of the results. Full-color graphics are used throughout the text.



Challenges In Mechanics Of Biological Systems And Materials Thermomechanics And Infrared Imaging Time Dependent Materials And Residual Stress Volume 2


Challenges In Mechanics Of Biological Systems And Materials Thermomechanics And Infrared Imaging Time Dependent Materials And Residual Stress Volume 2
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Author : Christian Franck
language : en
Publisher: Springer Nature
Release Date : 2024-02-26

Challenges In Mechanics Of Biological Systems And Materials Thermomechanics And Infrared Imaging Time Dependent Materials And Residual Stress Volume 2 written by Christian Franck and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-02-26 with Technology & Engineering categories.


Challenges in Mechanics of Biological Systems and Materials, Thermomechanics and Infrared Imaging, Time Dependent Materials and Residual Stress, Volume 2 of the Proceedings of the 2023 SEM Annual Conference & Exposition on Experimental and Applied Mechanics, the second volume of five from the Conference, brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Experimental Mechanics, including papers in the following general technical research areas: Advanced Thermographic Techniques for SHM AM Composites and Polymers Experimental Techniques in Biomechanics and Mechanobiology Inverse Methodologies and Uncertainties in the Identification of Residual Stresses, Residual Stress IV Low Cost Thermographic Applications Multiscale Mechanics of Biological Materials NDE and Process Monitoring Residual Stress Thermomechanics Time Dependence in Porous and Soft Materials



Solving Pdes In Python


Solving Pdes In Python
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Author : Hans Petter Langtangen
language : en
Publisher: Springer
Release Date : 2017-03-21

Solving Pdes In Python written by Hans Petter Langtangen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-21 with Computers categories.


This book offers a concise and gentle introduction to finite element programming in Python based on the popular FEniCS software library. Using a series of examples, including the Poisson equation, the equations of linear elasticity, the incompressible Navier–Stokes equations, and systems of nonlinear advection–diffusion–reaction equations, it guides readers through the essential steps to quickly solving a PDE in FEniCS, such as how to define a finite variational problem, how to set boundary conditions, how to solve linear and nonlinear systems, and how to visualize solutions and structure finite element Python programs. This book is open access under a CC BY license.



Proceedings Of The Canadian Society For Civil Engineering Annual Conference 2023 Volume 11


Proceedings Of The Canadian Society For Civil Engineering Annual Conference 2023 Volume 11
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Author : Serge Desjardins
language : en
Publisher: Springer Nature
Release Date : 2024-09-25

Proceedings Of The Canadian Society For Civil Engineering Annual Conference 2023 Volume 11 written by Serge Desjardins and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-09-25 with Technology & Engineering categories.


This book comprises the proceedings of the Annual Conference of the Canadian Society for Civil Engineering 2023. The contents of this volume focus on the specialty track in structural engineering with topics on bridge design, FRP concrete structures, innovation in structural engineering, seismic analysis and design, wind load on structures, masonry structures, structural optimization, machine learning and AI in structural engineering, and wood and timber structures, among others. This volume will prove a valuable resource for researchers and professionals.



Matlab Codes For Finite Element Analysis


Matlab Codes For Finite Element Analysis
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Author : A. J. M. Ferreira
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-11-06

Matlab Codes For Finite Element Analysis written by A. J. M. Ferreira and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-06 with Technology & Engineering categories.


This book intend to supply readers with some MATLAB codes for ?nite element analysis of solids and structures. After a short introduction to MATLAB, the book illustrates the ?nite element implementation of some problems by simple scripts and functions. The following problems are discussed: • Discrete systems, such as springs and bars • Beams and frames in bending in 2D and 3D • Plane stress problems • Plates in bending • Free vibration of Timoshenko beams and Mindlin plates, including laminated composites • Buckling of Timoshenko beams and Mindlin plates The book does not intends to give a deep insight into the ?nite element details, just the basic equations so that the user can modify the codes. The book was prepared for undergraduate science and engineering students, although it may be useful for graduate students. TheMATLABcodesofthisbookareincludedinthedisk.Readersarewelcomed to use them freely. The author does not guarantee that the codes are error-free, although a major e?ort was taken to verify all of them. Users should use MATLAB 7.0 or greater when running these codes. Any suggestions or corrections are welcomed by an email to [email protected].



Matlab Based Finite Element Programming In Electromagnetic Modeling


Matlab Based Finite Element Programming In Electromagnetic Modeling
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Author : Özlem Özgün
language : en
Publisher: CRC Press
Release Date : 2018-09-03

Matlab Based Finite Element Programming In Electromagnetic Modeling written by Özlem Özgün and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-03 with Technology & Engineering categories.


This book is a self-contained, programming-oriented and learner-centered book on finite element method (FEM), with special emphasis given to developing MATLAB® programs for numerical modeling of electromagnetic boundary value problems. It provides a deep understanding and intuition of FEM programming by means of step-by-step MATLAB® programs with detailed descriptions, and eventually enabling the readers to modify, adapt and apply the provided programs and formulations to develop FEM codes for similar problems through various exercises. It starts with simple one-dimensional static and time-harmonic problems and extends the developed theory to more complex two- or three-dimensional problems. It supplies sufficient theoretical background on the topic, and it thoroughly covers all phases (pre-processing, main body and post-processing) in FEM. FEM formulations are obtained for boundary value problems governed by a partial differential equation that is expressed in terms of a generic unknown function, and then, these formulations are specialized to various electromagnetic applications together with a post-processing phase. Since the method is mostly described in a general context, readers from other disciplines can also use this book and easily adapt the provided codes to their engineering problems. After forming a solid background on the fundamentals of FEM by means of canonical problems, readers are guided to more advanced applications of FEM in electromagnetics through a survey chapter at the end of the book. Offers a self-contained and easy-to-understand introduction to the theory and programming of finite element method. Covers various applications in the field of static and time-harmonic electromagnetics. Includes one-, two- and three-dimensional finite element codes in MATLAB®. Enables readers to develop finite element programming skills through various MATLAB® codes and exercises. Promotes self-directed learning skills and provides an effective instruction tool.



The Finite Element Method Theory Implementation And Applications


The Finite Element Method Theory Implementation And Applications
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Author : Mats G. Larson
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-01-13

The Finite Element Method Theory Implementation And Applications written by Mats G. Larson and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-13 with Computers categories.


This book gives an introduction to the finite element method as a general computational method for solving partial differential equations approximately. Our approach is mathematical in nature with a strong focus on the underlying mathematical principles, such as approximation properties of piecewise polynomial spaces, and variational formulations of partial differential equations, but with a minimum level of advanced mathematical machinery from functional analysis and partial differential equations. In principle, the material should be accessible to students with only knowledge of calculus of several variables, basic partial differential equations, and linear algebra, as the necessary concepts from more advanced analysis are introduced when needed. Throughout the text we emphasize implementation of the involved algorithms, and have therefore mixed mathematical theory with concrete computer code using the numerical software MATLAB is and its PDE-Toolbox. We have also had the ambition to cover some of the most important applications of finite elements and the basic finite element methods developed for those applications, including diffusion and transport phenomena, solid and fluid mechanics, and also electromagnetics.​



Advanced Modelling With The Matlab Reservoir Simulation Toolbox


Advanced Modelling With The Matlab Reservoir Simulation Toolbox
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Author : Knut-Andreas Lie
language : en
Publisher: Cambridge University Press
Release Date : 2021-11-25

Advanced Modelling With The Matlab Reservoir Simulation Toolbox written by Knut-Andreas Lie and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-25 with Business & Economics categories.


Presents advanced reservoir simulation methods used in the widely-used MRST open-source software for researchers, professionals, students.