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cs.CE2023★ 1 cited
An Anisotropic -Adaptation Framework for Ultraweak Discontinuous Petrov-Galerkin Formulations
Ankit Chakraborty, Stefan Henneking, Leszek Demkowicz
In this article, we present a three-dimensional anisotropic -mesh refinement strategy for ultraweak discontinuous Petrov--Galerkin (DPG) formulations with optimal test function…
cs.CE2022
A Continuous Mesh Model for Discontinuous Petrov-Galerkin Finite Element Schemes with Optimal Test Functions
Ankit Chakraborty, Georg May
We present an anisotropic mesh adaptation strategy using a continuous mesh model for discontinuous Petrov-Galerkin (DPG) finite element schemes with optimal test functions, ex…
cs.CE2020★ 3 cited
Optimal approximation spaces for discontinuous Petrov-Galerkin finite element methods
Ankit Chakraborty, Ajay Rangarajan, Georg May
Certain Petrov-Galerkin schemes are inherently stable formulations of variational problems on a given mesh. This stability is primarily obtained by computing an optimal test basis…