Thomas Apel

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All published works

Action	Title	Year	Authors
+	Non-coercive Neumann Boundary Control Problems	2024	Thomas Apel Mariano Mateos Arnd Rösch
+ PDF Chat	Non-coercive Neumann boundary control problems	2024	Thomas Apel Mariano Mateos Arnd Rösch
+ PDF Chat	Isogeometric analysis of the Laplace eigenvalue problem on circular sectors: Regularity properties, graded meshes & variational crimes	2024	Thomas Apel Philipp Zilk
+ PDF Chat	Lipolysis on Lipid Droplets: Mathematical Modelling and Numerical Discretisation	2024	Reymart Salcedo Lagunero Klemens Fellner Thomas Apel Volker Kempf Philipp Zilk
+ PDF Chat	Pressure-robust error estimate of optimal order for the Stokes equations: domains with re-entrant edges and anisotropic mesh grading	2021	Thomas Apel Volker Kempf
+ PDF Chat	A nonconforming pressure-robust finite element method for the Stokes equations on anisotropic meshes	2020	Thomas Apel Volker Kempf Alexander Linke Christian Merdon
+ PDF Chat	Regularity of the Solution of the Scalar Signorini Problem in Polygonal Domains	2020	Thomas Apel Serge Nicaise
+ PDF Chat	Brezzi--Douglas--Marini Interpolation of Any Order on Anisotropic Triangles and Tetrahedra	2020	Thomas Apel Volker Kempf
+	Regularity of the solution of the scalar Signorini problem in polygonal domains	2019	Thomas Apel Serge Nicaise
+	Superconvergent Graded Meshes for an Elliptic Dirichlet Control Problem	2019	Thomas Apel Mariano Mateos Johannes Pfefferer Arnd Rösch
+	Regularity of the solution of the scalar Signorini problem in polygonal domains	2019	Thomas Apel Serge Nicaise
+	$L^{\infty}$-error estimates for Neumann boundary value problems on graded meshes	2018	Thomas Apel Johannes Pfefferer Sergejs Rogovs Max Winkler
+ PDF Chat	Error estimates for Dirichlet control problems in polygonal domains: Quasi-uniform meshes	2018	Thomas Apel Mariano Mateos Johannes Pfefferer Arnd Rösch
+	Error estimates for the postprocessing approach applied to Neumann boundary control problems in polyhedral domains	2017	Thomas Apel Max Winkler Johannes Pfefferer
+ PDF Chat	Discretization of the Poisson equation with non-smooth data and emphasis on non-convex domains	2016	Thomas Apel Serge Nicaise Johannes Pfefferer
+	Adapted numerical methods for the numerical solution of the Poisson equation with $L^2$ boundary data in non-convex domains	2016	Thomas Apel Serge Nicaise Johannes Pfefferer
+	Discretization of the Poisson equation with non-smooth data and emphasis on non-convex domains	2015	Thomas Apel Serge Nicaise Johannes Pfefferer
+ PDF Chat	On the Regularity of the Solutions of Dirichlet Optimal Control Problems in Polygonal Domains	2015	Thomas Apel Mariano Mateos Johannes Pfefferer Arnd Rösch
+	Discretization of the Poisson equation with non-smooth data and emphasis on non-convex domains	2015	Thomas Apel Serge Nicaise Johannes Pfefferer
+	A dual singular complement method for the numerical solution of the Poisson equation with $L^2$ boundary data in non-convex domains	2015	Thomas Apel Serge Nicaise Johannes Pfefferer
+ PDF Chat	Anisotropic mesh refinement in polyhedral domains: error estimates with data in<i>L</i><sup>2</sup>(<i>Ω</i>)	2013	Thomas Apel Ariel L. Lombardi Max Winkler
+	A Priori Error Estimates for Finite Element Methods for<i>H</i><sup>(2,1)</sup>-Elliptic Equations	2013	Thomas Apel Thomas G. Flaig Serge Nicaise
+	Crank--Nicolson Schemes for Optimal Control Problems with Evolution Equations	2012	Thomas Apel Thomas G. Flaig
+	A posteriori error estimation of residual type for anisotropic diffusion–convection–reaction problems	2010	Thomas Apel Serge Nicaise Dieter Sirch
+ PDF Chat	Error estimates for Raviart-Thomas interpolation of any order on anisotropic tetrahedra	2010	Gabriel Acosta Thomas Apel Ricardo G. Durán Ariel L. Lombardi
+	Stabilized finite element methods with anisotropic mesh refinement for the Oseen problem	2007	Thomas Apel Tobias Knopp Gert Lube
+	Discretization Error Estimates for an Optimal Control Problem in a Nonconvex Domain	2007	Thomas Apel Arnd Rösch Gunter Winkler
+ PDF Chat	Optimal control in non-convex domains: a priori discretization error estimates	2007	Thomas Apel Arnd Rösch Gunter Winkler
+	Numerical Solution of Structured Problems	2004	Thomas Apel Volker Mehrmann David S. Watkins
+	Anisotropic mesh refinement for a singularly perturbed reaction diffusion model problem	1998	Thomas Apel Gert Lube
+ PDF Chat	The finite element method with anisotropic mesh grading for elliptic problems in domains with corners and edges	1998	Thomas Apel Serge Nicaise
+ PDF Chat	Anisotropic mesh refinement in stabilized Galerkin methods	1996	Thomas Apel Gert Lube

Common Coauthors

Coauthor	Papers Together
Johannes Pfefferer	10
Serge Nicaise	9
Arnd Rösch	7
Mariano Mateos	5
Volker Kempf	4
Gert Lube	3
Max Winkler	3
Gunter Winkler	2
Ariel L. Lombardi	2
Thomas G. Flaig	2
Serge Nicaise	2
Alexander Linke	1
Dieter Sirch	1
Reymart Salcedo Lagunero	1
Philipp Zilk	1
Philipp Zilk	1
Ricardo G. Durán	1
Tobias Knopp	1
Christian Merdon	1
Gabriel Acosta	1
Klemens Fellner	1
Volker Mehrmann	1
David S. Watkins	1
Sergejs Rogovs	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Finite Element Approximation of Dirichlet Boundary Control for Elliptic PDEs on Two- and Three-Dimensional Curved Domains	2009	Klaus Deckelnick Andreas Günther Michael Hinze	7
+	Boundary Integral Operators on Lipschitz Domains: Elementary Results	1988	Martin Costabel	6
+	Elliptic Problems in Nonsmooth Domains	2011	Pierre Grisvard	6
+ PDF Chat	On the Regularity of the Solutions of Dirichlet Optimal Control Problems in Polygonal Domains	2015	Thomas Apel Mariano Mateos Johannes Pfefferer Arnd Rösch	4
+ PDF Chat	A Variational Discretization Concept in Control Constrained Optimization: The Linear-Quadratic Case	2005	Michael Hinze	4
+ PDF Chat	Discretization of the Poisson equation with non-smooth data and emphasis on non-convex domains	2016	Thomas Apel Serge Nicaise Johannes Pfefferer	4
+	Elliptic Boundary Value Problems in Domains with Point Singularities	2002	V. A. Kozlov Vladimir Maz’ya J. Roßmann	3
+	Variational-difference schemes for linear second-order elliptic equations in a two-dimensional region with piecewise smooth boundary	1968	L.A. Oganesyan L. A. Rukhovets	3
+	Superconvergence Properties of Optimal Control Problems	2004	Christian Meyer Arnd Rösch	3
+ PDF Chat	Towards computable flows and robust estimates for inf-sup stable FEM applied to the time-dependent incompressible Navier–Stokes equations	2018	Philipp W. Schroeder Christoph Lehrenfeld Alexander Linke Gert Lube	3
+	The Inhomogeneous Dirichlet Problem in Lipschitz Domains	1995	David Jerison Carlos E. Kenig	3
+ PDF Chat	Error estimates for Raviart-Thomas interpolation of any order on anisotropic tetrahedra	2010	Gabriel Acosta Thomas Apel Ricardo G. Durán Ariel L. Lombardi	3
+	Problèmes aux limites non homogènes et applications	1968	Enrico Magenes Jacques Louis Lions	3
+ PDF Chat	Penalization of Dirichlet optimal control problems	2008	Eduardo Casas Mariano Mateos Jean‐Pierre Raymond	3
+	The Hypercircle in Mathematical Physics: A Method for the Approximate Solution of Boundary Value Problems	2012	J. L. Synge	3
+ PDF Chat	The inf-sup stability of the lowest order Taylor–Hood pair on affine anisotropic meshes	2019	Gabriel R. Barrenechea Andreas Wachtel	2
+	Elliptic Equations in Polyhedral Domains	2010	Vladimir Maz’ya J. Roßmann	2
+	On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows	2017	Volker John Alexander Linke Christian Merdon Michael Neilan Leo G. Rebholz	2
+ PDF Chat	On the approximation of the solution of an optimal control problem governed by an elliptic equation	1979	Tunc Geveci	2
+	A dual singular complement method for the numerical solution of the Poisson equation with $L^2$ boundary data in non-convex domains	2015	Thomas Apel Serge Nicaise Johannes Pfefferer	2
+ PDF Chat	Efficient numerical solution of parabolic optimization problems by finite element methods	2007	Roland Becker Dominik Meidner Boris Vexler	2
+	Mixed Finite Element Methods and Applications	2013	Daniele Boffi Franco Brezzi Michel Fortin	2
+ PDF Chat	Brezzi--Douglas--Marini Interpolation of Any Order on Anisotropic Triangles and Tetrahedra	2020	Thomas Apel Volker Kempf	2
+	Finite Element Error Analysis for PDE-constrained Optimal Control Problems: The Control Constrained Case Under Reduced Regularity	2010	Dieter Sirch	2
+ PDF Chat	Pressure-robustness in quasi-optimal a priori estimates for the Stokes problem	2020	Alexander Linke Christian Merdon Michael Neilan	2
+	Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains	1984	Gregory C. Verchota	2
+ PDF Chat	Divergence-free Reconstruction Operators for Pressure-Robust Stokes Discretizations with Continuous Pressure Finite Elements	2017	Philip L. Lederer Alexander Linke Christian Merdon Joachim Schöberl	2
+	Adapted numerical methods for the numerical solution of the Poisson equation with $L^2$ boundary data in non-convex domains	2016	Thomas Apel Serge Nicaise Johannes Pfefferer	2
+	ELLIPTIC PROBLEMS IN DOMAINS WITH PIECEWISE SMOOTH BOUNDARIES (de Gruyter Expositions in Mathematics 13)	1996	E. N. Dancer	2
+ PDF Chat	Polynomial approximation of functions in Sobolev spaces	1980	Todd Dupont Ridgway Scott	2
+ PDF Chat	Finite element error estimates in non-energy norms for the two-dimensional scalar Signorini problem	2020	Constantin Christof Christof Haubner	2
+	A Priori Error Analysis of the Petrov–Galerkin Crank–Nicolson Scheme for Parabolic Optimal Control Problems	2011	Dominik Meidner Boris Vexler	2
+ PDF Chat	Error Estimates for Parabolic Optimal Control Problems with Control Constraints	2004	Arnd Rösch	2
+ PDF Chat	Norm estimates for a maximal right inverse of the divergence operator in spaces of piecewise polynomials	1985	L. Ridgway Scott Michael Vogelius	2
+ PDF Chat	Anisotropic mesh refinement in stabilized Galerkin methods	1996	Thomas Apel Gert Lube	2
+ PDF Chat	The Singular Complement Method for 2d scalar problems	2003	Patrick Ciarlet Jiwen He	2
+	Régularité des solutions d'un problème mêlé Dirichlet–Signorini dans un domaine polygonal plan	1992	Mohand Moussaoui Khadidja Khodja	2
+	Monotonicity Methods in Hilbert Spaces and Some Applications to Nonlinear Partial Differential Equations	1971	Haı̈m Brezis	2
+	Error estimates for linear-quadratic control problems with control constraints	2006	Arnd Rösch	2
+	Discretization of the Poisson equation with non-smooth data and emphasis on non-convex domains	2015	Thomas Apel Serge Nicaise Johannes Pfefferer	2
+	Neumann problem for second-order elliptic equations in domains with edges on the boundary	1984	V. Zaionchkovskii V. A. Solonnikov	2
+ PDF Chat	On semiregular families of triangulations and linear interpolation	1991	Michal Křı́žek	2
+	Space-Time Adaptive Wavelet Methods for Optimal Control Problems Constrained by Parabolic Evolution Equations	2011	Max Gunzburger Angela Kunoth	1
+ PDF Chat	Finite element methods for Maxwell’s equations	2020	Peter Monk Yangwen Zhang	1
+ PDF Chat	Strategies for time-dependent PDE control with inequality constraints using an integrated modeling and simulation environment	2008	Ira Neitzel Uwe Prüfert Thomas Slawig	1
+	Introducción a las ecuaciones en derivadas parciales	1992	Eduardo Casas	1
+	Numerical determination of the fundamental eigenvalue for the Laplace operator on a spherical domain	1977	H. Walden R. Bruce Kellogg	1
+	Regular semielliptic boundary value problems	1977	Ralph A. Artino J. Barros-Neto	1
+ PDF Chat	Robust a-posteriori estimator for advection-diffusion-reaction problems	2007	Giancarlo Sangalli	1
+	Uniform Convergence and Superconvergence of Mixed Finite Element Methods on Anisotropically Refined Grids	2000	Jichun Li Mary F. Wheeler	1