Gradient-enriched finite element methodology for axisymmetric problems
Sign Up to like & getrecommendations! Published in 2017 at "Acta Mechanica"
DOI: 10.1007/s00707-016-1762-7
Abstract: Due to the axisymmetric nature of many engineering problems, bi-dimensional axisymmetric finite elements play an important role in the numerical analysis of structures, as well as advanced technology micro/nano-components and devices (nano-tubes, nano-wires, micro-/nano-pillars, micro-electrodes).… read more here.
Keywords: finite element; methodology; gradient enriched; element methodology ... See more keywords
Enriched Finite Volume Approximations of the Plane-Parallel Flow at a Small Viscosity
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Scientific Computing"
DOI: 10.1007/s10915-020-01259-0
Abstract: We investigate viscous boundary layers of the plane-parallel flow, governed by the stationary Navier–Stokes equations under a certain symmetry. Following the analysis in Gie et al. (Annales de l’Institut Henri Poincaré C. Analyse Non Linéaire,… read more here.
Keywords: parallel flow; plane parallel; finite volume; near boundary ... See more keywords
A unified enrichment approach addressing blending and conditioning issues in enriched finite elements
Sign Up to like & getrecommendations! Published in 2019 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2019.02.005
Abstract: Abstract We present a combination of techniques to improve the convergence and conditioning properties of partition of unity (PU) enriched finite element methods. By applying these techniques to different types of enrichment functions, namely polynomial,… read more here.
Keywords: enriched finite; approach addressing; unified enrichment; enrichment approach ... See more keywords
Fast and robust all-electron density functional theory calculations in solids using orthogonalized enriched finite elements
Sign Up to like & getrecommendations! Published in 2021 at "Physical Review B"
DOI: 10.1103/physrevb.104.085112
Abstract: We present a computationally efficient approach to perform systematically convergent real-space all-electron Kohn-Sham DFT calculations for solids using an enriched finite element (FE) basis. The enriched FE basis is constructed by augmenting the classical FE… read more here.
Keywords: enriched finite; solids using; calculations solids; electron ... See more keywords