There are a lot of coures on finite element methods and many that touch upon aspects of finite element error analysis. One thing, however, that is hard to learn in a consice form are the essential aspects of a priori error analysis. These involve a decent knowledge of variational properties of BVPs and a good understanding of interpolation theory. In a very very modest attempt to help some students in my undergraduate FEA course I prepared some notes to introduce them to some of the more mathematical aspects of FEA analysis. They are strictly one dimensional and linear to help with the understanding.
| Attachment | Size |
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| err_est.pdf | 93.36 KB |
Re: FE error analysis
Sanjay,
Thanks for the notes. As you have indicated, just the essentials on finite element error analysis can not be found in any textbook. I found your presentation to be clear and self-contained; especially liked the exposition in Sections 2.5 and 2.6 on estimates for the interpolation and finite element errors, respectively.
Re: FE Error Analysis
I am a graduate student taking up an FEM course now, and found these notes to be a nice supplement. Thanks!
[Vanishingly small remark: There seems to have been a problem of some kind while generating the PDF, the first sentence is odd]