20 citations · 21 across the 4 of their papers we have counts for
4 papers
CutVEM: Conforming virtual element method on embedded domains with shape-agnostic element agglomeration
Ramsharan Rangarajan, N. Sukumar
The virtual element method (VEM) is a stabilized Galerkin method that is robust and accurate on general polygonal meshes. This feature makes it an appealing candidate for simulatio…
From Phenomenology to a Nonlinear Model of Dynamic Snap-Through of an Elastica
Chiraprabha Bhattacharyya, Ramsharan Rangarajan
Rotating the clamped ends of a buckled elastica induces a snap-through instability. Predicting the limit point and determining the equilibria at the start and end of the snap are r…
Universal Meshes: A new paradigm for computing with nonconforming triangulations
Ramsharan Rangarajan, Adrian J. Lew
We describe a method for discretizing planar C2-regular domains immersed in non-conforming triangulations. The method consists in constructing mappings from triangles in a backgrou…
Analysis of a method to parameterize planar curves immersed in triangulations
Ramsharan Rangarajan, Adrian J. Lew
We prove that a planar -regular boundary can always be parameterized with its closest point projection over a certain collection of edges in an ambient triangula…