Recent Advances in Least-Squares and Discontinuous Petrov–Galerkin Finite Element Methods

Least-squares (LS) and discontinuous Petrov–Galerkin (DPG) finite element methods are an emerging methodology in the computational partial differential equations with unconditional stability and built-in a posteriori error control. This special issue represents the state of the art in minimal residual methods in the L^{2}-norm for the LS schemes and in dual norm with broken test-functions in the DPG schemes.