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math.DG2010★ 1 cited
Dual Formulations of Mixed Finite Element Methods with Applications
Andrew Gillette, Chandrajit Bajaj
Mixed finite element methods solve a PDE using two or more variables. The theory of Discrete Exterior Calculus explains why the degrees of freedom associated to the different varia…
math.NA2010★ 65 cited
Error Estimates for Generalized Barycentric Interpolation
Andrew Gillette, Alexander Rand, Chandrajit Bajaj
We prove the optimal convergence estimate for first order interpolants used in finite element methods based on three major approaches for generalizing barycentric interpolation fun…