If I understand correctly, the problem you have is not about sending your logs back to the server (or if it was @Jackie-xu provided some hints), but rather about how to send them to elastiscsearch the most efficiently.
Actually the vast majority of users of the classic stack Logstash/Elasticsearch/Kibana
are used to having an application that logs into a file, then use Logstash's plugin for reading files to parse that file and send the result to ElasticSearch. Since @methai gave a good explanation about it I won't go any further this way.
But what I would like to bring on is that:
You are not forced to used Logstash.
Actually Logstash's main role is to collect the logs, parse them to identify their structure and recurrent field, and finally output them in a JSON format so that they can be sent to ElasticSearch. But since you are already manipulating javascript on the client side, one can easily imagine that you would talk directly to the Elasticsearch server.
For example once you have caught a javascript exception, you could do the folowing:
var xhr = new XMLHttpRequest();
xhr.open("PUT", http://your-elasticsearch-host:9292, true);
var data = {
lineNumber: lineNumber,
message: message,
url: url
}
xhr.send(JSON.stringify(data));
By doing this, you are directly talking from the client to the ElasticSearch Server. I can't imagine a simpler and faster way to do that (But note that this is just theory, I never tried myself, so reality could be more complex, especially if you want special fields like date timestamps to be generated ;)). In a production context you will probably have security issues, probably a proxy server between the client and the ES server, but the principle is there.
If you absolutely want to use Logstash you are not forced to use a file input
If, for the purpose of harmonizing, doing the same as everyone, or for using advanced logstash parsing confifuration you want to stick to Logstash, you should take a look at all the alternative inputs to the basic file input. For example I used to use a pipe myself, with a process in charge of collecting the logs and outputting these to the standard output. There is also the possibilty to read on an open tcp socket, and a lot more, you can even add your own.