An embedded Dirichlet formulation for 3D continua

By Axel Gerstenberger, Wolfgang A. Wall. 2010

134 citations recorded by the source corpus.

Subfields: Computational Mechanics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/d24c8bdce615d213229fc1e7a01f900d1a2230f4

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In Computational Mechanics

In Mechanics of Materials

Citations in the corpus

The non-symmetric Nitsche method for the parameter-free imposition of weak boundary and coupling conditions in immersed finite elements (2016, unknown): “In contrast to Lagrange multiplier methods [8, 29, 54, 70], the symmetric Nitsche formulation is free of auxiliary fields, which simplifies the theory and reduces computational cost.”
Subdivision-stabilised immersed b-spline finite elements for moving boundary flows (2012, background): “To remedy the unwanted smearing of the boundary over few fluid cells, lately, a number of sharp interface techniques have been introduced, which combine ideas from original immersed methods with finite elements, see [2, 3, 4, 5].”
The hp‐d‐adaptive finite cell method for geometrically nonlinear problems of solid mechanics (2012, background): “Displacement boundary conditions defined over the Dirichlet boundary D (Figure 1) can be integrated into the discrete system Equation (7) by penalty [9, 25, 26] or variational methods [8, 43, 44].”
3D fluid–structure-contact interaction based on a combined XFEM FSI and dual mortar contact approach (2010, methodology): “We apply a novel embedded Dirichlet formulation [ 9 ] to impose Dirichlet boundary conditions weakly on non-fitting grids as depicted in Figs.”
A symmetric method for weakly imposing Dirichlet boundary conditions in embedded finite element meshes (2012, methodology): “In Section 2, a symmetric version of the method proposed in [30] for Poisson’s problem is presented.”