Ion-trap quantum technology consists in the control and manipulation of single or multiple cold atomic ions that are trapped by means of electromagnetic fields. Lasers or microwave fields can be used to control two electronic levels of the ion that serve as a qubit. The motion of the ion is cooled down until it reaches the quantum regime. Currently, trapped-ion technology offers one of the highest degrees of controllability among quantum technologies, making it a good candidate for quantum simulation and quantum computation protocols. In QUTIS we have developed proposals for quantum simulations with trapped ions that include relativistic quantum mechanics and interacting fermion lattice models. This quantum platform also seems specially suitable for implementing digital-analog quantum simulations, a new approach that employs the complexity present in the system together with digital steps to enhance the simulator capability.