For a large class of partial differential equations (PDEs) arising in engineering science, e.g., singular perturbation, Helmholtz, nearly incompressible elastostatics problems, and coupled problems, the corresponding finite element (FE) discretizations suffer from a loss of stability. Certain FE discretizations provide relief from the loss of stability by constructing FE approximations of the corresponding weak formulation to the PDE that satisfies the discrete inf-sup condition. Furthermore, recent work in data-driven methods can also be incorporated to develop stable FE schemes. To create discussions around these issues, we invite contributions with a focus on the following: • Stable discretization schemes for stationary and transient linear and non-linear problems, • Residual minimization techniques such as the least squares FE method and the discontinuous Petrov- Galerkin method and their analysis. • A posteriori error analyses and estimates for stable discretization schemes leading to error indicators and adaptive mesh refinement strategies. • Development of new FE basis functions leading to stable schemes. • Implementational aspects and issues surrounding stable FE methods in modeling physical phenomena. • Development of solvers for the linear system of equations resulting from stable discretization schemes. • Application of stable FE methods to large-scale, complex problems in engineering science. • Integration of data-driven techniques with FE technology.