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math.NA2019
Virtual element method for semilinear sine-Gordon equation over polygonal mesh using product approximation technique
Dibyendu Adak, Sundararajan Natarajan
In this paper, we employ the linear virtual element spaces to discretize the semilinear sine-Gordon equation in two dimensions. The salient features of the virtual element method (…
cond-mat.mtrl-sci2019
Phase field modelling of crack propagation in functionally graded materials
Hirshikesh, Sundararajan Natarajan, Ratna K. Annabattula +1
We present a phase field formulation for fracture in functionally graded materials (FGMs). The model builds upon homogenization theory and accounts for the spatial variation of ela…