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20122022
most citedA massively parallel explicit solver for elasto-dynamic problems exploiting octree meshes

84 citations · 324 across the 8 of their papers we have counts for

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6 papers · 1 filter

math.NA2022★ 18 cited

High-order implicit time integration scheme with controllable numerical dissipation based on mixed-order Padé expansions

Chongmin Song, Xiaoran Zhang, Sascha Eisenträger +1

A single-step high-order implicit time integration scheme with controllable numerical dissipation at high frequencies is presented for the transient analysis of structural dynamic…

math.NA2014★ 74 cited

Free vibration and mechanical buckling of plates with in-plane material inhomogeneity - a three dimensional consistent approach

Tingsong Xiang, Sundararajan Natarajan, Hou Man +2

In this article, we study the free vibration and the mechanical buckling of plates using a three dimensional consistent approach based on the scaled boundary finite element method.…

math.NA2014★ 34 cited

Numerical evaluation of stress intensity factors and T-stress for interfacial cracks and cracks terminating at the interface without asymptotic enrichment

Sundararajan Natarajan, Chongmin Song, Salim Belouettar

In this paper, we extend the recently proposed extended scaled boundary finite element method (xSBFEM)~\cite{natarajansong2013} to study fracture parameters of interfacial cracks a…

math.NA2013

Finite element computations on quadtree meshes: strain smoothing and semi-analytical formulation

Sundararajan Natarajan, Ean Tat Ooi, Hou Man +1

This short communication discusses two alternate techniques to treat hanging nodes in a quadtree mesh. Both the techniques share similarities, in that, they require only boundary i…

math.NA2013★ 1 cited

Displacement based finite element formulations over polygons: a comparison between Laplace interpolants, strain smoothing and scaled boundary polygon formulation

Sundararajan Natarajan, Ean Tat Ooi, Irene Chiong +1

Three different displacement based finite element formulations over arbitrary polygons are studied in this paper. The formulations considered are: the conventional polygonal finite…

math.NA2012★ 65 cited

Representation of singular fields without asymptotic enrichment in the extended finite element method

Sundararajan Natarajan, Chongmin Song

In this paper, we replace the asymptotic enrichments around the crack tip in the extended finite element method (XFEM) with the semi-analytical solution obtained by the scaled boun…