Thomas Apel

Publication Activity (10 Years)

Years Active: 1992-2024
Publications (10 Years): 9

Top Topics

Hamilton Jacobi Bellman

Error Estimates

Optimal Control

Mesh Generation

Top Venues

SIAM J. Numer. Anal.

Comput. Vis. Sci.

Publications

Thomas Apel, Philipp Zilk
Isogeometric analysis of the Laplace eigenvalue problem on circular sectors: Regularity properties, graded meshes & variational crimes. CoRR (2024)
Thomas Apel, Volker Kempf
Pressure-robust error estimate of optimal order for the Stokes equations on domains with edges. CoRR (2020)
Thomas Apel, Volker Kempf, Alexander Linke, Christian Merdon
A nonconforming pressure-robust finite element method for the Stokes equations on anisotropic meshes. CoRR (2020)
Thomas Apel, Volker Kempf
Brezzi-Douglas-Marini Interpolation of Any Order on Anisotropic Triangles and Tetrahedra. SIAM J. Numer. Anal. 58 (3) (2020)
Thomas Apel, Volker Kempf
Brezzi-Douglas-Marini interpolation of any order on anisotropic triangles and tetrahedra. CoRR (2019)
Thomas Apel, Serge Nicaise
Regularity of the solution of the scalar Signorini problem in polygonal domains. CoRR (2019)
Thomas Apel, Olaf Steinbach
Preface. Comput. Vis. Sci. 19 (5-6) (2018)
Thomas Apel, Serge Nicaise, Johannes Pfefferer
Boundary Data in NonConvex Domains. SIAM J. Numer. Anal. 55 (4) (2017)
Thomas Apel, Olaf Steinbach, Max Winkler
Error estimates for Neumann boundary control problems with energy regularization. J. Num. Math. 24 (4) (2016)
Thomas Apel, Mariano Mateos, Johannes Pfefferer, Arnd Rösch
On the Regularity of the Solutions of Dirichlet Optimal Control Problems in Polygonal Domains. SIAM J. Control. Optim. 53 (6) (2015)
Thomas Apel, Johannes Pfefferer, Arnd Rösch
Finite element error estimates on the boundary with application to optimal control. Math. Comput. 84 (291) (2015)
Thomas Apel, Thomas G. Flaig
Crank-Nicolson Schemes for Optimal Control Problems with Evolution Equations. SIAM J. Numer. Anal. 50 (3) (2012)
Thomas Apel, Johannes Pfefferer, Arnd Rösch
Finite element error estimates for Neumann boundary control problems on graded meshes. Comput. Optim. Appl. 52 (1) (2012)
Thomas Apel, Olaf Benedix, Dieter Sirch, Boris Vexler
A Priori Mesh Grading for an Elliptic Problem with Dirac Right-Hand Side. SIAM J. Numer. Anal. 49 (3) (2011)
Gabriel Acosta, Thomas Apel, Ricardo G. Durán, Ariel L. Lombardi
Error estimates for Raviart-Thomas interpolation of any order on anisotropic tetrahedra. Math. Comput. 80 (273) (2011)
Thomas Apel, Serge Nicaise, Dieter Sirch
A posteriori error estimation of residual type for anisotropic diffusion-convection-reaction problems. J. Comput. Appl. Math. 235 (8) (2011)
Jason Howard, Saurabh Dighe, Yatin Hoskote, Sriram R. Vangal, David Finan, Gregory Ruhl, David Jenkins, Howard Wilson, Nitin Borkar, Gerhard Schrom, Fabric Pailet, Shailendra Jain, Tiju Jacob, Satish Yada, Sraven Marella, Praveen Salihundam, Vasantha Erraguntla, Michael Konow, Michael Riepen, Guido Droege, Joerg Lindemann, Matthias Gries, Thomas Apel, Kersten Henriss, Tor Lund-Larsen, Sebastian Steibl, Shekhar Borkar, Vivek De, Rob F. Van der Wijngaart, Timothy G. Mattson
A 48-Core IA-32 message-passing processor with DVFS in 45nm CMOS. ISSCC (2010)
Thomas Apel, Arnd Rösch, Dieter Sirch
-Error Estimates on Graded Meshes with Application to Optimal Control. SIAM J. Control. Optim. 48 (3) (2009)
Thomas Apel, Gunar Matthies
Nonconforming, Anisotropic, Rectangular Finite Elements of Arbitrary Order for the Stokes Problem. SIAM J. Numer. Anal. 46 (4) (2008)
Gabriel Acosta, Thomas Apel, Ricardo G. Durán, Ariel L. Lombardi
Anisotropic error estimates for an interpolant defined via moments. Computing 82 (1) (2008)
Thomas Apel, N. Düvelmeyer
Transformation of Hexaedral Finite Element Meshes into Tetrahedral Meshes According to Quality Criteria. Computing 71 (4) (2003)
Thomas Apel, H. Maharavo Randrianarivony
Stability of discretizations of the Stokes problem on anisotropic meshes. Math. Comput. Simul. 61 (3-6) (2003)
Thomas Apel, Joachim Schöberl
Multigrid Methods for Anisotropic Edge Refinement. SIAM J. Numer. Anal. 40 (5) (2002)
Thomas Apel, Serge Nicaise, Joachim Schöberl
Crouzeix-Raviart type finite elements on anisotropic meshes. Numerische Mathematik 89 (2) (2001)
Thomas Apel
Anisotropic Interpolation Error Estimates for Isoparametric Quadrilateral Finite Elements. Computing 60 (2) (1998)
Thomas Apel, Chris Blondia, Olga Casals, Jordi Garcia, Kerstin Uhde
Implementation and performance analysis of a mac protocol for an ATM network. Architecture and Protocols for High-Speed Networks (1993)
Thomas Apel, Manfred Dobrowolski
Anisotropic interpolation with applications to the finite element method. Computing 47 (3-4) (1992)