# Example of solving a coupled system using Varf

**URL:** <https://community.freefem.org/t/example-of-solving-a-coupled-system-using-varf/4117>\
**Category:** General Discussion\
**Created:** [October 29, 2025, 12:38pm UTC](https://community.freefem.org/t/example-of-solving-a-coupled-system-using-varf/4117 "2025-10-29T12:38:53Z")\
**Posts on this page:** 1\
**Page:** 1

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**Author:** ![Ravi](https://yyz2.discourse-cdn.com/flex030/user_avatar/community.freefem.org/ravi/32/2468_2.png) [@Ravi](https://community.freefem.org/u/Ravi)\
**Post date:** [October 29, 2025, 12:38pm UTC](https://community.freefem.org/t/example-of-solving-a-coupled-system-using-varf/4117/1 "2025-10-29T12:38:54Z")

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Hello, everyone. Can someone provide an example of solving a coupled system using VARF? I am trying to solve a coupled system using VARF, but I don’t have a clue how to build the block matrix for coupled variables belonging to two different spaces.