Background: While studies examining graduate engineering student attrition have grown more prevalent, there is an incomplete understanding of the plight faced by persisting students. As mental health and well-being crises emerge in graduate student populations, it is important to understand how students conceptualize their well-being in relation to their decisions to persist or depart from their program. Purpose/Hypothesis: The purpose of this article is to characterize the well-being of students who endured overwhelming difficulties in their doctoral engineering programs. The PERMA-V framework of well-being theory proposes that well-being is a multifaceted construct comprised of "p"ositive emotion, "e"ngagement, "r"elationships, "m"eaning, "a"ccomplishment, and "v"itality. Design/Method: Data were collected in a mixed-methods research design through two rounds of qualitative semistructured interviews and a survey-based PERMA-V profiling instrument. Interview data were analyzed thematically using the PERMA-V framework as an a priori coding schema and narrative configuration and analysis. Results: The narratives demonstrated the interconnectedness between the different facets of well-being and how they were influenced by various experiences the participants encountered. The participants in this study faced prolonged and extreme adversity. By understanding how the multiple dimensions of well-being theory manifested in their narratives, we better understood and interpreted how these participants chose to persist.