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math.NA2022★ 1 cited
An adaptive superconvergent finite element method based on local residual minimization
Ignacio Muga, Sergio Rojas, Patrick Vega
We introduce an adaptive superconvergent finite element method for a class of mixed formulations to solve partial differential equations involving a diffusion term. It combines a s…
math.NA2022★ 4 cited
Frequency-explicit a posteriori error estimates for discontinuous Galerkin discretizations of Maxwell's equations
T. Chaumont-Frelet, P. Vega
We propose a new residual-based a posteriori error estimator for discontinuous Galerkin discretizations of time-harmonic Maxwell's equations in first-order form. We establish that…