Interface handling for three‐dimensional higher‐order XFEM‐computations in fluid–structure interaction

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A symmetric method for weakly imposing Dirichlet boundary conditions in embedded finite element meshes (2012, background): “See [31] for an extensive description on how to perform numerical subintegration in 3D high-order finite elements.”
3D fluid–structure-contact interaction based on a combined XFEM FSI and dual mortar contact approach (2010, methodology): “An interface handling algorithm (see [ 17 ] and [19]) allows to localize the fluid–structure interface of arbitrarily moving as well as deforming structures and provides an exact representation of the discretized interface within the fixed fluid background mesh.”
An embedded Dirichlet formulation for 3D continua (2010, unknown): “For geometric aspects and the implementation of proper interface localization algorithms, search trees and creation of linear or higher-order integration cells (tetrahedral cells in the domain and triangles at the interface) in 3D, see [33].”
Three-dimensional crack growth with hp-generalized finite element and face offsetting methods (2010, methodology): “More recently, the explicit method was extended to represent interfaces in fluid–structure interaction problems using the XFEM [ 37 ].”