# Jump condition for elasticity on an interface

**URL:** <https://community.freefem.org/t/jump-condition-for-elasticity-on-an-interface/3930>\
**Category:** General Discussion\
**Created:** [May 22, 2025, 2:19pm UTC](https://community.freefem.org/t/jump-condition-for-elasticity-on-an-interface/3930 "2025-05-22T14:19:28Z")\
**Posts on this page:** 1\
**Showing post:** 10

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**Author:** ![fb77](https://yyz2.discourse-cdn.com/flex030/user_avatar/community.freefem.org/fb77/32/3796_2.png) [@fb77](https://community.freefem.org/u/fb77)\
**Post date:** [May 24, 2025, 11:03am UTC](https://community.freefem.org/t/jump-condition-for-elasticity-on-an-interface/3930/10 "2025-05-24T11:03:37Z")

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It is not clear to me what transmission conditions you want to set on the interface between the two regions.  
If it is u\_0=u\_1 and \sigma\_0 N=0 (\sigma\_0 the stress from the region 0),  
it means that you can first solve u\_0 on region 0 with Neumann BC, then solve u\_1 on region 1 with nonhomogeneous Dirichlet condition u\_1=u\_0.

If the conditions are more complicate and really coupled, an example is

> [@Problem in implementation of DG code for Stokes-Darcy interface problem](https://community.freefem.org/t/problem-in-implementation-of-dg-code-for-stokes-darcy-interface-problem/3616/6):
>
> Sorry for the DG implementation the code was wrong. A correct version is [composite-space-DGStokesDarcy.edp](https://community.freefem.org/uploads/short-url/nJQLZPcMuzN3uLBzurdFy3y66jO.edp) (4.4 KB)

The description of the problem and corresponding coupling interface conditions is in the pdf file in the beginning of that discussion.

The interface is considered either as a boundary of the domain above (boundary label 5 of Th1 `int1d(Th1,5)`), either as a boundary of the domain below (boundary label 3 of Th2 `int1d(Th2,3)`), depending if the test function corresponds to the unknown in the domain above or below.  
These interface integrals can involve unknowns from both domains.

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