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Patrik Daniel
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All published works
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Title
Year
Authors
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Guaranteed contraction of adaptive inexact <i>hp</i>-refinement strategies with realistic stopping criteria
2022
Patrik Daniel
Martin Vohralı́k
+
PDF
Chat
Adaptive hp-finite elements with guaranteed error contraction and inexact multilevel solvers
2019
Patrik Daniel
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Éléments finis hp adaptatifs avec contraction d'erreur garantie et solveurs multi-niveaux inexacts
2019
Patrik Daniel
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Adaptative hp-finite elements with guaranteed error contraction and inexact multilevel solvers
2019
Patrik Daniel
+
PDF
Chat
An adaptive <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mml77" display="inline" overflow="scroll" altimg="si5.gif"><mml:mi>h</mml:mi><mml:mi>p</mml:mi></mml:math>-refinement strategy with computable guaranteed bound on the error reduction factor
2018
Patrik Daniel
Alexandre Ern
Iain Smears
Martin Vohralı́k
Common Coauthors
Coauthor
Papers Together
Martin Vohralı́k
2
Iain Smears
1
Alexandre Ern
1
Commonly Cited References
Action
Title
Year
Authors
# of times referenced
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On <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si5.gif" display="inline" overflow="scroll"><mml:mi>p</mml:mi></mml:math>-robust saturation for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si86.gif" display="inline" overflow="scroll"><mml:mi>h</mml:mi><mml:mi>p</mml:mi></mml:math>-AFEM
2017
Claudio Canuto
Ricardo H. Nochetto
Rob Stevenson
Marco Verani
2
+
Axioms of adaptivity
2014
Carsten Carstensen
Michael Feischl
Marcus Page
Dirk Praetorius
2
+
PDF
Chat
Local problems on stars: A posteriori error estimators, convergence, and performance
2002
Pedro Morín
Ricardo H. Nochetto
Kunibert G. Siebert
2
+
Convergence of an adaptive hp finite element strategy in one space dimension
2006
Willy Dörfler
Vincent Heuveline
2
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Tree Approximation for hp-Adaptivity
2018
Peter Binev
2
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A feedback finite element method with a posteriori error estimation: Part I. The finite element method and some basic properties of the a posteriori error estimator
1987
Ivo Babuška
Anthony D. Miller
1
+
A Comparison of <i>hp</i> -Adaptive Strategies for Elliptic Partial Differential Equations
2014
William F. Mitchell
Marjorie A. McClain
1
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A note on the design of hp-adaptive finite element methods for elliptic partial differential equations
2004
Paul Houston
Endre Süli
1
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PDF
Chat
An Optimal Adaptive Finite Element Method
2005
Rob Stevenson
1
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Convergence and Optimality of hp-AFEM
2015
Claudio Canuto
Ricardo H. Nochetto
Rob Stevenson
Marco Verani
1
+
PDF
Chat
Discrete p-robust $$\varvec{H}({{\mathrm{div}}})$$ H ( div ) -liftings and a posteriori estimates for elliptic problems with $$H^{-1}$$ H - 1 source terms
2017
Alexandre Ern
Iain Smears
Martin Vohralı́k
1
+
PDF
Chat
A Posteriori Error Estimation Techniques for Finite Element Methods
2013
R. Verfürth
1
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PDF
Chat
Rate optimal adaptive FEM with inexact solver for nonlinear operators
2017
Gregor Gantner
Alexander Haberl
Dirk Praetorius
Bernhard Stiftner
1
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PDF
Chat
Localization of the W-1,q norm for local a posteriori efficiency
2019
Jan Blechta
Josef Málek
Martin Vohralı́k
1
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PDF
Chat
An adaptive <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mml77" display="inline" overflow="scroll" altimg="si5.gif"><mml:mi>h</mml:mi><mml:mi>p</mml:mi></mml:math>-refinement strategy with computable guaranteed bound on the error reduction factor
2018
Patrik Daniel
Alexandre Ern
Iain Smears
Martin Vohralı́k
1
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Optimal convergence behavior of adaptive FEM driven by simple <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e853" altimg="si2.svg"><mml:mrow><mml:mo>(</mml:mo><mml:mi>h</mml:mi><mml:mo linebreak="goodbreak" linebreakstyle="after">−</mml:mo><mml:mi>h</mml:mi><mml:mo>∕</mml:mo><mml:mn>2</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math>-type error estimators
2019
Christoph Erath
Gregor Gantner
Dirk Praetorius
1
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Stable broken $H^1$ and $H(\mathrm {div})$ polynomial extensions for polynomial-degree-robust potential and flux reconstruction in three space dimensions
2019
Alexandre Ern
Martin Vohralı́k
1
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PDF
Chat
A saturation property for the spectral-Galerkin approximation of a Dirichlet problem in a square
2019
Claudio Canuto
Ricardo H. Nochetto
Rob Stevenson
Marco Verani
1
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Dörfler marking with minimal cardinality is a linear complexity problem
2020
Carl‐Martin Pfeiler
Dirk Praetorius
1
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A comparison of hp-adaptive strategies for elliptic partial differential equations (long version)
2011
Marjorie A. McClain
1
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None
2002
Leszek Demkowicz
W. Rachowicz
Ph. Devloo
1
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Numerical Approximation of Partial Differential Equations
1994
Alfio Quarteroni
Alberto Valli
1
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PDF
Chat
Adaptive Finite Element Methods with Inexact Solvers for the Nonlinear Poisson-Boltzmann Equation
2013
Michael Holst
Ryan Szypowski
Yunrong Zhu
1
+
PDF
Chat
A strict error bound with separated contributions of the discretization and of the iterative solver in non-overlapping domain decomposition methods
2013
Valentine Rey
Christian Rey
Pierre Gosselet
1
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PDF
Chat
Stopping Criteria for Adaptive Finite Element Solvers
2013
Mario Arioli
Emmanuil H. Georgoulis
Daniel Loghin
1
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PDF
Chat
Adaptive Inexact Newton Methods with A Posteriori Stopping Criteria for Nonlinear Diffusion PDEs
2013
Alexandre Ern
Martin Vohralı́k
1