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Hierarchical a posteriori error estimation of Bank–Weiser type in the FEniCS Project
Raphaël Bulle, Jack S. Hale, Alexei Lozinski, Stéphane P.A. Bordas and Franz Chouly Computers & Mathematics with Applications 131 103 (2023) https://doi.org/10.1016/j.camwa.2022.11.009
Equivalence of local- and global-best approximations, a simple stable local commuting projector, and optimal hp approximation estimates in
H
(div)
Alexandre Ern, Thirupathi Gudi, Iain Smears and Martin Vohralík IMA Journal of Numerical Analysis 42(2) 1023 (2022) https://doi.org/10.1093/imanum/draa103
How to prove optimal convergence rates for adaptive least-squares finite element methods∗
On the stability of Scott-Zhang type operators and application to multilevel preconditioning in fractional diffusion
Markus Faustmann, Jens Markus Melenk and Maryam Parvizi ESAIM: Mathematical Modelling and Numerical Analysis 55(2) 595 (2021) https://doi.org/10.1051/m2an/2020079
Equivalence of local-best and global-best approximations in H(curl)
An Abstract Analysis of Optimal Goal-Oriented Adaptivity
Michael Feischl, Dirk Praetorius and Kristoffer G. van der Zee SIAM Journal on Numerical Analysis 54(3) 1423 (2016) https://doi.org/10.1137/15M1021982
Adaptive Boundary Element Methods
Michael Feischl, Thomas Führer, Norbert Heuer, Michael Karkulik and Dirk Praetorius Archives of Computational Methods in Engineering 22(3) 309 (2015) https://doi.org/10.1007/s11831-014-9114-z
Energy norm based error estimators for adaptive BEM for hypersingular integral equations
Multiscale modeling in micromagnetics: Existence of solutions and numerical integration
F. Bruckner, D. Suess, M. Feischl, T. Führer, P. Goldenits, M. Page, D. Praetorius and M. Ruggeri Mathematical Models and Methods in Applied Sciences 24(13) 2627 (2014) https://doi.org/10.1142/S0218202514500328
EachH1/2–stable projection yields convergence and quasi–optimality of adaptive FEM with inhomogeneous Dirichlet data in Rd
M. Aurada, M. Feischl, J. Kemetmüller, M. Page and D. Praetorius ESAIM: Mathematical Modelling and Numerical Analysis 47(4) 1207 (2013) https://doi.org/10.1051/m2an/2013069
On 2D Newest Vertex Bisection: Optimality of Mesh-Closure and H 1-Stability of L 2-Projection