Wang Yuan,

 I am using extended finite element method to do crack expansion. I have a question, can I increase the degree of freedom for the nodes designated around the crack in Deal?

Not easily. deal.II enumerates degrees of freedom based on the finite element used on a cell, so if you want to have extra degrees of freedom, you need to describe that by using a different element on that cell (using the hp-framework, in the same way as step-46 for example).

Meanwhile, another question is can I assign different numbers of Gaussian integral points to different elements? Thank you for your help!

Yes! You can use a hp::QCollection together with hp::FEValues. Or you can do it by hand: You create multiple quadrature rules and corresponding FEValues objects, and then you choose which one is appropriate when you are on a concrete cell.

Best
 W.

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Wolfgang Bangerth          email:                 bange...@colostate.edu
                           www: http://www.math.colostate.edu/~bangerth/

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