Are the indwelling of the Holy Spirit and the filling of the Holy Spirit considered to be the same experience in Christian theology?

No, in Christian theology, the indwelling of the Holy Spirit and the filling of the Holy Spirit are not considered to be the same experience. The indwelling of the Holy Spirit refers to the permanent presence of the Holy Spirit within a believer upon conversion, while the filling of the Holy Spirit is seen as a temporary empowering or infilling for specific tasks or moments of spiritual need.