Hi Prof. Wolfgang Bangerth,

Thanks for your useful advice. Finally I solved this problem.

Best,
Mark

2017-10-10 19:50 GMT+02:00 Wolfgang Bangerth <bange...@colostate.edu>:

> On 10/10/2017 11:40 AM, Mark wrote:
>
>>
>> I really appreciate for your quick reply. Now I do as what you said,
>> using VectorTools in setup_system(). It seems working, but there is still
>> one question that I always find very large values at points near
>> boundaries, see attached figures. Is there a way to solve this?
>>
>
> There are so many possible reasons for this that I can't even speculate.
> Play with what you have to find out what the common theme is -- how do
> things change if you try different boundary conditions, initial conditions,
> right hand sides, time steps, etc. What affects the problem and what
> doesn't? Can you make the problem simpler (e.g., use zero boundary values
> and zero initial conditions)? Does this only happen in parallel or also if
> you run the program on a single processor?
>
> This is sort of the mental list that I go through when debugging these
> kinds of problems. I try to isolate what it is that affects the problem and
> make the problem as simple as possible. Whatever is left must then at least
> be related to the cause.
>
> Best
>  W.
>
> --
> ------------------------------------------------------------------------
> Wolfgang Bangerth          email:                 bange...@colostate.edu
>
>                            www: http://www.math.colostate.edu/~bangerth/
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