Immersed finite element method

By Lucy T. Zhang, Axel Gerstenberger, Xiaodong Wang, Wing Kam Liu. 2004

562 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/744af11c1ac4d461f0fc46f6e6c4360ad0d47bcb

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In Computational Mechanics

Citations in the corpus

Comparison of various fluid-structure interaction methods for deformable bodies (2007, methodology): “The Extended Immersed Boundary Method [19] and the Immersed Finite Element Method [21] describe the solid using the finite element method while the fluid is formulated using a finite difference or finite element method, respectively.”
A bubble‐stabilized finite element method for Dirichlet constraints on embedded interfaces (2007, background): “consider the recent work on fluid-structure interaction [1], cohesive crack growth [2], and sharp phase transitions [3], just to name a few.”
A discontinuous‐Galerkin‐based immersed boundary method (2008, methodology): “Though most of the implementations rely on finite-difference/finite-volume approximations, finite element variants also exist [77, 46].”
Isogeometric Fluid–structure Interaction Analysis with Applications to Arterial Blood Flow (2006, methodology): “Some of the other techniques include the coupled momentum method [14], the immersed finite element method [54], and the space-time finite element method [40] [41] [42].”
A NURBS-based immersed methodology for fluid–structure interaction (2015, methodology): “In the 2000’s, the IB method was enhanced and extended by Liu and his coworkers giving rise to a new algorithm called immersed finite element method (IFEM) [20].”
Efficient finite element methodology based on cartesian grids: application to structural shape optimization (2013, methodology): “These techniques have several names in the literature, such as Fictitious Domain [11, 12, 19, 20, 24], Implicit Meshing [25], Immersed FEM [26], Immersed Boundary Method [15, 27], and Fixed grid FEM [28, 29].”
An eXtended Finite Element Method/Lagrange multiplier based approach for fluid-structure interaction (2008, background): “It is capable to simulate thin and deformable boundaries and fully fledged, deformable 3d structures submersed in incompressible flow [45,48].”
A finite element approach to the immersed boundary method (2003, methodology): “Our approach is different from that of [35] [36], since we deal with the force term involving the Dirac delta function in a variational way, so that there is no need of approximating the delta function.”
Three‐dimensional immersed finite element methods for electric field simulation in composite materials (2005, methodology): “However, similar to those methods based on the finite difference immersed/imbeded boundary techniques, see References [15, 16] and references therein, an IFE method has to handle interface elements with special attentions or the method will lose accuracy in the vicinity of the interface where import”
Numerical Methods for Fluid-Structure Interaction — A Review (2012, methodology): “Representative examples of the immersed domain method include the immersed finite element method developed by Liu et al. (2006), Wang and Liu (2004) and Zhang et al. (2004, 2007), and the immersed continuum method developed by Wang (2006, 2007, 2010).”
Rheology of red blood cell aggregation by computer simulation (2006, methodology): “As illustrated in details in [18,11], we define the fluid–structure interaction force within the domain X as f FSI;s i , where FSI stands for fluid–structure interaction”