An Incompatible Finite Element formulation for enhanced representation of solutions in Phase-Field problems: Application to Regularized Fracture - Miguel Castillón (Instituto IMDEA Materiales, Eric Kandel 2, Tecnogetafe, 28906 Madrid, Spain) Javier Segurado (Instituto IMDEA Materiales, Eric Kandel 2, Tecnogetafe, 28906 Madrid, Spain) Ignacio Romero (Instituto IMDEA Materiales, Eric Kandel 2, Tecnogetafe, 28906 Madrid, Spain) (Emmc19: 19th European Mechanics Of Materials Conference Proceeding, 2025)