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Вернуться к Метод конечных элементов для решения задач в области физики

Отзывы учащихся о курсе Метод конечных элементов для решения задач в области физики от партнера Мичиганский университет

Оценки: 319
Рецензии: 69

О курсе

This course is an introduction to the finite element method as applicable to a range of problems in physics and engineering sciences. The treatment is mathematical, but only for the purpose of clarifying the formulation. The emphasis is on coding up the formulations in a modern, open-source environment that can be expanded to other applications, subsequently. The course includes about 45 hours of lectures covering the material I normally teach in an introductory graduate class at University of Michigan. The treatment is mathematical, which is natural for a topic whose roots lie deep in functional analysis and variational calculus. It is not formal, however, because the main goal of these lectures is to turn the viewer into a competent developer of finite element code. We do spend time in rudimentary functional analysis, and variational calculus, but this is only to highlight the mathematical basis for the methods, which in turn explains why they work so well. Much of the success of the Finite Element Method as a computational framework lies in the rigor of its mathematical foundation, and this needs to be appreciated, even if only in the elementary manner presented here. A background in PDEs and, more importantly, linear algebra, is assumed, although the viewer will find that we develop all the relevant ideas that are needed. The development itself focuses on the classical forms of partial differential equations (PDEs): elliptic, parabolic and hyperbolic. At each stage, however, we make numerous connections to the physical phenomena represented by the PDEs. For clarity we begin with elliptic PDEs in one dimension (linearized elasticity, steady state heat conduction and mass diffusion). We then move on to three dimensional elliptic PDEs in scalar unknowns (heat conduction and mass diffusion), before ending the treatment of elliptic PDEs with three dimensional problems in vector unknowns (linearized elasticity). Parabolic PDEs in three dimensions come next (unsteady heat conduction and mass diffusion), and the lectures end with hyperbolic PDEs in three dimensions (linear elastodynamics). Interspersed among the lectures are responses to questions that arose from a small group of graduate students and post-doctoral scholars who followed the lectures live. At suitable points in the lectures, we interrupt the mathematical development to lay out the code framework, which is entirely open source, and C++ based. Books: There are many books on finite element methods. This class does not have a required textbook. However, we do recommend the following books for more detailed and broader treatments than can be provided in any form of class: The Finite Element Method: Linear Static and Dynamic Finite Element Analysis, T.J.R. Hughes, Dover Publications, 2000. The Finite Element Method: Its Basis and Fundamentals, O.C. Zienkiewicz, R.L. Taylor and J.Z. Zhu, Butterworth-Heinemann, 2005. A First Course in Finite Elements, J. Fish and T. Belytschko, Wiley, 2007. Resources: You can download the deal.ii library at The lectures include coding tutorials where we list other resources that you can use if you are unable to install deal.ii on your own computer. You will need cmake to run deal.ii. It is available at

Лучшие рецензии


Mar 13, 2017

It is very well structured and Dr Krishna Garikipati helps me understand the course in very simple manner. I would like to thank coursera community for making this course available.


Jul 21, 2019

The course is great and the tutors are very helpful. I just have a suggestion that there should be more coding assignment like one for every week.\n\nThank you

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26–50 из 66 отзывов о курсе Метод конечных элементов для решения задач в области физики

автор: Devara s

Jul 10, 2017

it is good course it more useful to us and i learn lot information for this course thanking you giving for this opportunity

автор: aamir i

Mar 09, 2017

A rigorous and organized introduction to the subject with the additional benefit of learning through implementation.

автор: benjamin j d o

Jun 29, 2017

Absolutely amazing¡¡ Where is the other course in continuum physics in MOOC format? I can't wait.

автор: ISAAC T

Jul 29, 2017

Incredibly instructive, even for an industrial engineer especialzed in mechanic like me.

автор: DEEPAK K P

Mar 17, 2019

An exceptionally created course with every detail of the subject matter. Thanks a lot.

автор: Elizabeth F

Jul 05, 2018

I like this course it is useful because have theory and the application part.

автор: Harsh V G

Dec 07, 2017

excellent course , explains stuff right from the basics.

great job overall !!

автор: chtld

Mar 11, 2018

I think this course is very good for the students who first learn the fem.

автор: MOHD. F

Jun 19, 2017


Need to invest a great deal of time to understand thoroughly.

автор: LO W

Aug 31, 2019

It is worth to put some effort on this course. I learn alot .

автор: Prasanth s

Jul 12, 2017

thank you sir for giving this offering of this course

автор: chenxi

Jan 02, 2019


автор: E B K

Sep 22, 2017

Great we can learn many things


Jul 09, 2017

very friendly to the students


Sep 16, 2018

The needful course for me

автор: Houssem C

Sep 16, 2018

very interesting course


Apr 14, 2017

good for learning.

автор: Mukunda K

Jan 08, 2020

Great Lecture.

автор: Junchao

Oct 30, 2017

Great Course !

автор: Rahul S

Jun 13, 2018

It's awesome.

автор: Marco R H

Jun 23, 2019

nice one!

автор: BHARATH K T

Jul 09, 2017


автор: Krishnakumar G

Aug 16, 2019

While quite mathematical in nature as opposed to a purely applied view of the method, Prof, Krishna Garikipati's teaching style and clear explanations make the material accessible to practicing engineers outside of academia. This is a great course to take for a strong introduction to the theory of FE method. The TA's explanation videos, while being helpful can sometimes be too verbose. This is a long course, and took me nearly 4 months to finish the videos. I had to go back and watch each of the videos at least 2 times over these 4 months, since some ideas are a bit mathematically dense. Upon second viewing, the ideas become clearer. Overall, a highly recommended course!

автор: Pierre B

Mar 17, 2017

This is a good intro course which introduce the Finite Element Method step by step, which suited me perfectly since I hardly coded in c++ nor did FEM before.

Nevertheless, as a graduate student, the pace is very slow, and the outline and motivation unclear, which would likely have discouraged me if I did not review video in x2, and stuck to second week lectures and onward.

I would advise to introduce more outline and motivation at the beginning of the week lecture to keep students motivated.

Apart from that, I recommand the course !

автор: Marvin T

Jan 15, 2019

In principle, it is a good course and taught in a very understanding manner. For a five star rating, I would like to suggest that there should be additional physics, e.g. convection problems, or turbulence, featuring a CFD chapter for example with heat transfer.