Hierarchical enrichment for bridging scales and mesh-free boundary conditions
By Gregory J. Wagner, Wing Kam Liu. 2001
98 citations recorded by the source corpus.
Subfields: Computational Mechanics, Electrical and Electronic Engineering, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/b8e7833b61560dd12ab9cba67bdb63cb88b8cb79
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
In Electrical and Electronic Engineering
In Mechanics of Materials
Citations in the corpus
- A multiscale projection method for the analysis of carbon nanotubes (2004, unknown): “[27] and has been successfully applied in multiple-scale problems involving strain localization [10], boundary layers [60] and coupling of finite elements with meshfree shape functions [59].”
- An improved stable XFEM (Is-XFEM) with a novel enrichment function for the computational modeling of cohesive cracks (2015, unknown): “4 The definition (29) corresponds to the bridging scale method [33, 69], whereas the one (33) dates back to the continuous blending method [18, 19].”
- Extended embedded finite elements with continuous displacement jumps for the modeling of localized failure in solids (2015, methodology): “Furthermore, the bridging scale displacement field [28,29] u, necessary for the hierarchical decomposition of the displacement field u, is defined as the projection of the discontinuous displacement HS (x) · û(x), i.”
- Reproducing kernel element method. Part I: Theoretical formulation (2004, methodology): “In the literature, a variety of techniques were proposed and analyzed for enforcing Dirichlet boundary conditions, e.g., Lagrangian multiplier technique [2], transformation technique [6], hierarchical enrichment technique [13, 29 ], reproducing kernel interpolation technique [5], singular kernel fun”
- A reproducing kernel method with nodal interpolation property (2003, methodology): “Examples are coupling meshfree and nite element shape functions with a ramping in the transition zone [16], coupling and enrichment of nite element and meshfree shape functions via enforcement of reproducing conditions [17], and hierarchical enrichment of nite element solution using a meshfree appro”