how to write a query where it uses two fields in the document

The title is not enough maybe. Here let me explain.

Assume I have database structure as

{
    name: "alex",
    age: "21",
    location: "university-alex"
}

I am aware that this database structure is not rational but I just want to show my problem in a shortest way.

I want to get the documents where location includes name field value. Here university-alex includes ,alex so it should return as a result of the query.

What have I done so far? I wrote this query but couldn't get a result.

db.collection.find({location: {$regex: "$name"}})

How can I edit it?

via mmu36478