...
To have Weave ignore the certificates you have to set a system property called weave.ignoretls, this property should be set to a comma separated list of host name that should have their certificates automatically accepted, to accept a group of hosts you can use an * in the name. This property could be set in the ...\weave\jetty_base\start.d\weave.ini file.
Setting the property to ignore a group of internal servers and one external server
...