Discontinuous Galerkin Method 2D

2017 12 1
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更新时间：2017 12 5
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Hello everyone,
I try to find a discontinuous galerkin method solver of the simple equation :
- div(p(nabla(u))= f on omega u=g on the boundary
Where omega is a square [-1 1]*[-1 1] here with triangular meshes!
Thank you for your help! :)

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Mukul Rao
Mukul Rao 2017-12-4
Hello, can you share why you need the discontinuous Galerkin method for this problem? What kind of discontinuity are you planning to model?
Bilal ALAUDDIN
Bilal ALAUDDIN 2017-12-5
编辑：Bilal ALAUDDIN 2017-12-5
Hello, thank you for your answer,
I forgot to give some extra indications : p=1 if y>=0 ans p=100 if y<0. Also, f= exp(x)-5*exp(x+2y)
I'm planning to model the IP model
Thank you for your help! :)

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Mukul Rao
Mukul Rao 2017-12-5

0 个投票

Hi Bilal, you could model your domain as two rectangles sharing a common face at y = 0. You can then use the specifyCoefficients function to set different values of parameter "c" ( which corresponds to "p" in your equation), by face value.
See the specify coefficients by sub-domain documentation page for examples.

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