A Nitsche extended finite element method for incompressible elasticity with discontinuous modulus of elasticity
By Roland Becker, Erik Burman, Peter Hansbo. 2009
206 citations recorded by the source corpus.
Subfields: Computational Mechanics, Computational Theory and Mathematics, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/d5a95ebc690728e1972220aaca2b00bb45eb1893
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Mechanics
- Anna Scotti
- Erik Burman
- Carlo D'Angelo
- Luca Formaggia
- Mats G. Larson
- Alessio Fumagalli
- Peter Hansbo
- Paolo Ruffo
In Computational Theory and Mathematics
- Erik Burman
- Anna Scotti
- Luca Formaggia
- Mats G. Larson
- Alessio Fumagalli
- Carlo D'Angelo
- Paolo Ruffo
- André Massing
In Mechanics of Materials
- Anna Scotti
- Erik Burman
- Carlo D'Angelo
- Luca Formaggia
- Alessio Fumagalli
- Paolo Ruffo
- Mats G. Larson
- Peter Hansbo
Citations in the corpus
- Fictitious domain finite element methods using cut elements (2012, methodology): “A related approach was used in [1] to ensure inf-sup stability for an unfitted finite element method for incompressible elasticity.”
- CutFEM: Discretizing geometry and partial differential equations (2015, background): “Situations that are particularly sensitive are the imposition of Dirichlet boundary conditions [12, 27], or domain decomposition on unfitted meshes, where an inf-sup condition has to be satis-fied, such as for incompressible elasticity [9, 28–31].”
- Robust flux error estimation of an unfitted Nitsche method for high-contrast interface problems (2016, unknown): “See for example [2], [22], [8], [11], [16], [14], [4], [9], [5], [18], [17], [23], [7], [3], [21], [1], [19], [15].”
- A reduced model for Darcy’s problem in networks of fractures (2014, background): “8, which is in turn based on what introduced in [9], Theorem 3.”
- A mixed finite element method for Darcy flow in fractured porous media with non-matching grids (2012, methodology): “Finally, our assumption that ηi is constant on each subdomain Ωi is obviously very restrictive; in the more general case η ∈ Qh, MΓ would also depend on the ratios ηi,max/ηi,min (see [6]).”