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Y. Y. Lu
Researcher at Northwestern University
Publications - 11
Citations - 6835
Y. Y. Lu is an academic researcher from Northwestern University. The author has contributed to research in topics: Finite element method & Galerkin method. The author has an hindex of 10, co-authored 10 publications receiving 6391 citations.
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Journal ArticleDOI
Element‐free Galerkin methods
Ted Belytschko,Y. Y. Lu,L. Gu +2 more
TL;DR: In this article, an element-free Galerkin method which is applicable to arbitrary shapes but requires only nodal data is applied to elasticity and heat conduction problems, where moving least-squares interpolants are used to construct the trial and test functions for the variational principle.
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A new implementation of the element free Galerkin method
Y. Y. Lu,Ted Belytschko,L. Gu +2 more
TL;DR: In this paper, a modified variational principle is used to replace the Lagrange multipliers at the outset by their physical meaning so that the discrete equations are banded, and weighted orthogonal basis functions are constructed so the need for solving equations at each quadrature point is eliminated.
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Element-free galerkin methods for static and dynamic fracture
TL;DR: In this paper, an Element-free Galerkin (EFG) method for static and dynamic fracture problems is presented and applied for growing crack problems, since only minimal remeshing is needed to follow crack growth.
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Element-free Galerkin method for wave propagation and dynamic fracture
TL;DR: In this paper, the element-free Galerkin method (EFG) is extended to dynamic problems, which makes the method particularly attractive for moving dynamic crack problems, since remeshing can be avoided.
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Explicit multi-time step integration for first and second order finite element semidiscretizations
Ted Belytschko,Y. Y. Lu +1 more
TL;DR: An explicit multi-time step (subcycling) integration algorithms based on nodal partitions for both first and second order systems are presented, identical to an earlier algorithm but some simplifications have been made in the actual algorithm which make it easier to implement in general purpose programs.