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math.NA2025
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…
math.NA2012★ 20 cited
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…
math.NA2011★ 1 cited
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…