An efficient three-dimensional adaptive quasicontinuum method using variable-node elements

DOI10.1016/J.JCP.2009.03.028zbMath1169.82308OpenAlexW1971122479MaRDI QIDQ2390431

Jae Hyuk Lim, Sungjin Kwon, Jong Youn Park, Seyoung Im, Dongwoo Sohn, Young Min Lee

Publication date: 22 July 2009

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2009.03.028

zbMATH Keywords

adaptive mesh refinementnanoindentationmultiscale modelingvariable-node elementsqasicontinuum

Mathematics Subject Classification ID

Atomic physics (81V45) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (4)

Multiresolution molecular mechanics: adaptive analysis ⋮ Central summation in the quasicontinuum method ⋮ A multiscale quasicontinuum method for lattice models with bond failure and fiber sliding ⋮ Comparative study of multiscale computational strategies for materials with discrete microstructures

Uses Software

• L-BFGS
• TetGen

Cites Work

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• An adaptive finite element approach to atomic-scale mechanics. -- The quasicontinuum method
• A pseudo-spectral multiscale method: interfacial conditions and coarse grid equations
• An improved interface element with variable nodes for non-matching finite element meshes
• MLS-based variable-node elements compatible with quadratic interpolation. Part I: formulation and application for non-matching meshes
• A new computational approach to contact mechanics using variable-node finite elements
• Two algorithms for constructing a Delaunay triangulation
• Updating Quasi-Newton Matrices with Limited Storage
• An analysis of the quasicontinuum method

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