Enriched space-time finite element method: a new paradigm for multiscaling from elastodynamics to molecular dynamics

SUMMARY The main objective of this paper is to present an enriched version of the space–time FEM method to incorporate multiple temporal scale features with a focus on dynamics problems. The method is established by integrating the basic framework of the space–time discontinuous Galerkin method with...

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Vydáno v:	International journal for numerical methods in engineering Ročník 92; číslo 2; s. 115 - 140
Hlavní autoři:	Yang, Ye, Chirputkar, Shardool, Alpert, David N., Eason, Thomas, Spottswood, Stephen, Qian, Dong
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Chichester, UK John Wiley & Sons, Ltd 12.10.2012 Wiley Wiley Subscription Services, Inc
Témata:	bridging-scale method enrichment Exact sciences and technology extended FEM Fracture mechanics (crack, fatigue, damage...) Fundamental areas of phenomenology (including applications) Galerkin least-square stabilization lattice fracture Mathematics Numerical analysis Numerical analysis. Scientific computation Numerical approximation Partial differential equations, initial value problems and time-dependant initial-boundary value problems Physics Sciences and techniques of general use Solid mechanics space-time FEM Structural and continuum mechanics Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...) Enrichment Harmonic lattice fracture Stabilization Molecular dynamics Elastic wave Galerkin least-square stabilization Modeling space-time FEM Crack propagation Continuum Finite element method Least squares method bridging-scale method Robustness Elastodynamics Numerical convergence Discontinuity Rupture Space time extended FEM Lattice Time domain method Atomistic model Multiscale method Galerkin method Dynamic load eXtended Finite Element Method
ISSN:	0029-5981, 1097-0207
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