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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