Four-electrode outflow electromagnetic flowmeter is a new logging equipment that can ideally measure the injection profile flow and is widely applied to the measurement of oilfield injection wells and polymer injection wells. At present, the study on electromagnetic flowmeter is only conducted in actual environments, which has a low efficiency and a high cost. A finite element model of a four-electrode outflow electromagnetic flowmeter is built in this work by using strong coupling method. The response and error analysis are performed at different flow velocities. The results show that the finite element model can be used for simulating the magnetic field in a four-electrode outflow electromagnetic flowmeter partly. It is also found that the error between the simulation and the experiment is larger at a low flow velocity than at high flow velocity.