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10/18/2022
A stable local commuting projector and optimal hp approximation estimates in H(curl)
We design an operator from the infinite-dimensional Sobolev space H(curl...
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10/17/2022
Inexpensive polynomial-degree- and number-of-hanging-nodes-robust equilibrated flux a posteriori estimates for isogeometric analysis
We consider isogeometric discretizations of the Poisson model problem, f...
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10/05/2021
A space-time multiscale mortar mixed finite element method for parabolic equations
We develop a space-time mortar mixed finite element method for parabolic...
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05/17/2021
p-robust equilibrated flux reconstruction in H(curl) based on local minimizations. Application to a posteriori analysis of the curl-curl problem
We present a local construction of H(curl)-conforming piecewise polynomi...
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08/10/2020
Guaranteed a posteriori bounds for eigenvalues and eigenvectors: multiplicities and clusters
This paper presents a posteriori error estimates for conforming numerica...
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05/29/2020
Stable broken H(curl) polynomial extensions and p-robust quasi-equilibrated a posteriori estimators for Maxwell's equations
We study extensions of piecewise polynomial data prescribed in a patch o...
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05/29/2020
Polynomial-degree-robust H(curl)-stability of discrete minimization in a tetrahedron
We prove that the minimizer in the Nédélec polynomial space of some degr...
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04/27/2020
Convergence and quasi-optimal cost of adaptive algorithms for nonlinear operators including iterative linearization and algebraic solver
We consider a second-order elliptic boundary value problem with strongly...
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08/22/2019