> Let me put it in a such way. I want to solve my equation on a curved edge.
> According to dealii library, I should use MappingQ whenever I have nonlinear
> domain. Am I correct?

I don't think "nonlinear" is the word you are looking for. Do you mean
a curved boundary?

> In addition, Should I replace all dim in defining my
> tensors to spacedim? It should be noted that dim = spacedim - 1.

Using a mapping (see step-10, step-11, etc.) has nothing to do with
codim 1 or 2 problems (where dim is not equal to spacedim, see
step-38).

-- 
Timo Heister
http://www.math.clemson.edu/~heister/

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