Hello -

How difficult would it be to add serendipity elements to dealii? They are 
very useful in solid mechanics applications and can greatly reduce the 
computational cost. Is it very difficult to add an element that is the same 
is FE_Q but without the few extra basis functions when quadratic 
polynomials are used? i.e. 8-node FE_Q instead of 9-node FE_Q in 2D and 
20-node FE_Q instead of 27-node FE_Q in 3D?

Thanks in advance for your thoughts,
Jonathan

On Saturday, October 3, 2015 at 12:44:14 AM UTC-6, Zhen Tao wrote:
>
> If you really want serendipity elements.
>
> For example, 2D quadratic, serendipity has 8 dof, FE_Q(2) has 9 dof.
> Use FE_Q(2)  and then cancel the extra degrees of freedom(x^2y^2) out by 
> setting proper matrix constraints.
>
> On Friday, 2 October 2015 15:16:50 UTC-5, Eldar Khattatov wrote:
>>
>> Dear all,
>>
>> I am sorry for a somewhat silly question, but is there a reduced 
>> quadratic (2nd order serendipity) finite element implemented in Deal.II? 
>>
>> Thank you.
>>
>>

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