Discontinuous Galerkin methods for solving elliptic and parabolic equations - theory and implementation

By Beatrice M. Riviere. Frontiers in applied mathematics, 2008

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The non-symmetric Nitsche method for the parameter-free imposition of weak boundary and coupling conditions in immersed finite elements (2016, background): “[57, 61] for details in the Nitsche formulation).”
A unified approach for handling convection terms in finite volumes and mimetic discretization methods for elliptic problems (2011, methodology): “In this framework, we mention, for instance, the Discontinuous Galerkin Method, [5, 44] and references therein, the Multi-Point Flux Approximation [1, 2, 48], the Mimetic Finite Difference Method, [8, 11–14,18, 20–23, 37, 40, 41] and references therein, the Hybrid Finite Volume Method [36], and the ”
Transient field distribution in gas-solid insulation systems under DC voltages (2014, background): “The equation system is transformed into the weak formulation and terms for “interior penalty”- and “upwind”-stabilization are added [33, 34].”
hp analysis of a hybrid DG method for Stokes flow (2013, methodology): “With similar tools as in [34, 55], the extension of the method to the Ossen and Navier-Stokes equations is possible, but such generalizations are not in the scope of the present work.”