Thanks,Prof. Bangerth, we have used uniform mesh, and the errors appeared also. 
We will check and verify the questions you posed. Thanks a lot for your kindly 
reply! best regards Yours sincerely Rongwei
---- 回复的原邮件 ----
发件人 Wolfgang Bangerth<[email protected]> 日期 2024年09月06日 00:19 收件人 
[email protected] 抄送至 主题 Re: [deal.II] Errors for temperature field occur 
in a multiphysics problems 
On 9/5/24 01:07, 杨荣伟 wrote: 
> We implemented the work based on Step26 (We really appreciated 
> that). Now the problem we encountered is that there still exist 
> unexpected errors on the temperature field in Deal II solution (see 
> the figures (circles) enclosed in attachment ). We suspect that the 
> errors arise from the large magnitude of thermal conductivity (K_T in 
> the equations in the attachment), which is equal to 10^6, which will 
> render the stiffness matrix being errous. Does anyone can help us to 
> figure out the critical errors and make any suggestions? 
At the end of the day, you will have to develop the skills to debug 
these sorts of problems -- this will not be the last time you wonder 
about the correctness of your program :-) 
In your case, I think you are using an adaptive mesh. Make the problem 
simpler: Does the solution look correct if you are using a uniformly 
refined mesh? If yes, are you using a higher-order element (e.g., 
quadratic shape functions)? If so, go back to linear elements and make 
sure the solution is correct. If so, you can try quadratic elements 
again, but make sure that what you are visualizing is an adequate 
representation of the actual solution -- see 
https://github.com/dealii/dealii/wiki/Frequently-Asked-Questions#in-my-graphical-output-the-solution-appears-discontinuous-at-hanging-nodes
 
There are many more directions one can go into, but these are perhaps 
good starting points already. 
Best 
W. 
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