Existing work on finite element result analysis

In summary,There is existing work focusing on analyzing finite element visualized results and how they differ from analytical solutions, rather than on the method.Well, that's something one should do whenever possible but it's usually not described in books/articles as it's the role of analyst to ensure that results are correct. And it's done not only by comparing with analytical values. Anyway, if you are looking for particular examples then check benchmark problems for various software (including open-source solvers like Code_Aster). They often include analytical solution as their purpose is to verify the correctness of FEA results.
  • #1
feynman1
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Is there any existing work focusing on analyzing finite element visualized results and how they differ from analytical solutions, rather than on the method?
 
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  • #2
Well, that's something one should do whenever possible but it's usually not described in books/articles as it's the role of analyst to ensure that results are correct. And it's done not only by comparing with analytical values. Anyway, if you are looking for particular examples then check benchmark problems for various software (including open-source solvers like Code_Aster). They often include analytical solution as their purpose is to verify the correctness of FEA results.
 
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  • #3
You can also compute the analytical solution of the finite element discretization for simple problems and compare that with the analytical solution of the original differential equation. And probably any paper that introduces a new feature of a finite element method will show results for problems with analytical solutions.
 
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  • #4
FEAnalyst said:
Well, that's something one should do whenever possible but it's usually not described in books/articles as it's the role of analyst to ensure that results are correct. And it's done not only by comparing with analytical values. Anyway, if you are looking for particular examples then check benchmark problems for various software (including open-source solvers like Code_Aster). They often include analytical solution as their purpose is to verify the correctness of FEA results.
thanks, is code_aster supported in windows?
 
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caz said:
There is literature on validation. For example
https://www.amazon.com/dp/0521113601/?tag=pfamazon01-20
Oberkampf and Roy - Verification and Validation in Scientific Computing
Yeah, but it’s about mathematical methods of validating/verifying solutions of PDEs and general ways to check physics simulation results (another book like that: "Finite Element Analysis. Method, Verification and Validation" by Szabo and Babuska). Here the OP is looking for analytical solutions of simple FEA cases. Some books with examples of analyses in particular software feature analytical solutions but unfortunately it’s rare. One such book is "Analysis of Machine Elements Using SolidWorks Simulation 2021" by Nudehi and Steffen.
 
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FEAnalyst said:
Yeah, but it’s about mathematical methods of validating/verifying solutions of PDEs and general ways to check physics simulation results (another book like that: "Finite Element Analysis. Method, Verification and Validation" by Szabo and Babuska). Here the OP is looking for analytical solutions of simple FEA cases. Some books with examples of analyses in particular software feature analytical solutions but unfortunately it’s rare. One such book is "Analysis of Machine Elements Using SolidWorks Simulation 2021" by Nudehi and Steffen.
Thanks a lot and these are much needed really. I'm not necessarily looking for analytical solutions only, but explanations and verification of non-analytical ones.
 

What is finite element analysis (FEA)?

Finite element analysis (FEA) is a numerical method used to solve complex engineering problems by dividing a physical system into smaller, simpler elements. These elements are then analyzed to determine the overall behavior of the system.

What is the purpose of finite element result analysis?

The purpose of finite element result analysis is to understand and interpret the numerical results obtained from a finite element analysis. This involves checking for accuracy, identifying potential errors, and extracting meaningful information from the results.

What are the common types of finite element result analysis?

The most common types of finite element result analysis include stress analysis, deformation analysis, modal analysis, and thermal analysis. These types of analysis help to evaluate the performance and behavior of a system under different conditions.

What are the challenges in finite element result analysis?

Some of the challenges in finite element result analysis include ensuring the accuracy and reliability of the results, dealing with complex geometries and material properties, and interpreting the results to make informed engineering decisions.

What are some techniques used in finite element result analysis?

Some techniques used in finite element result analysis include post-processing, visualization, and data manipulation tools. These techniques help to simplify and analyze the results in a meaningful way, making it easier to interpret and draw conclusions.

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