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math.NA2019★ 35 cited
An adaptive stabilized conforming finite element method via residual minimization on dual discontinuous Galerkin norms
Victor M. Calo, Alexandre Ern, Ignacio Muga +1
We design and analyze a new adaptive stabilized finite element method. We construct a discrete approximation of the solution in a continuous trial space by minimizing the residual…
math.NA2019
Residual minimization for isogeometric analysis in reduced and mixed forms
Victor M. Calo, Quanling Deng, Sergio Rojas +1
Most variational forms of isogeometric analysis use highly-continuous basis functions for both trial and test spaces. For a partial differential equation with a smooth solution, is…