Analysis of an efficient finite element method for embedded interface problems

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A symmetric method for weakly imposing Dirichlet boundary conditions in embedded finite element meshes (2012, background): “This drawback can be addressed by using the inverse estimates in order to define the minimum value for the stabilization parameter (see [29], where the stabilization parameter for the heat transfer problem is”
Stable imposition of stiff constraints in explicit dynamics for embedded finite element methods (2012, methodology): “By contrast, in the work of Dolbow and Harari [26], numerical analysis was leveraged to automate the determination of the Nitsche stabilization parameter at an element level resulting in a more robust and computationally efficient approach.”
Robust imposition of Dirichlet boundary conditions on embedded surfaces (2012, methodology): “In principle, both the stable method of Béchet et al. and the stabilized method of Dolbow and Harari readily extend to three-dimensional problems, but no convergence studies have been published to date.”
The Finite Cell Method: A Review in the Context of Higher-Order Structural Analysis of CAD and Image-Based Geometric Models (2015, methodology): “The most popular approaches include the penalty method [8, 9, 55, 199], the Lagrange multiplier method [29, 55, 56, 58, 59, 61], and Nitsche’s method [17, 30, 43, 51, 64, 66, 147, 171].”