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Publikationen

Publikationen

aadl.pdf zuletzt verändert: 2008-02-06 10:09:38
Gabriel Acosta, Thomas Apel, Ricardo G. Durán, Ariel L. Lombardi: Anisotropic error estimates for an interpolant defined via moments. Computing, 82(2008), 1-9. DOI 10.1007/s00607-008-0259-1
af1.pdf zuletzt verändert: 2009-07-16 19:36:53
Th. Apel and Th. G. Flaig: Simulation and mathematical optimization of the hydration of concrete for avoiding thermal Cracks. In: K. Gürlebeck and C. Könke (eds.): 18th International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering, Weimar, Germany, 2009.
agjm.pdf zuletzt verändert: 2006-08-18 12:54:34
Thomas Apel, Sergei Grosman, Peter K. Jimack, Arnd Meyer: A new methodology for anisotropic mesh refinement based upon error gradients. Appl. Numer. Math. 50(2004), 329-341.
ahmp.ps zuletzt verändert: 2012-08-15 14:57:13
Thomas Apel, Gundolf Haase, Arnd Meyer, Matthias Pester: Parallel solution of finite element equation systems: efficient inter-processor communication. Preprint SPC95_5, TU Chemnitz-Zwickau, 1995.
ahmpnote.ps zuletzt verändert: 2012-08-15 15:07:27
Thomas Apel, Gundolf Haase, Arnd Meyer, Matthias Pester: Numerical comparison of two communication algorithms. Technischer Report, 1995.
am06.pdf zuletzt verändert: 2006-08-30 15:21:20
Th. Apel, G. Matthies: Non-conforming, anisotropic, rectangular finite elements of arbitrary order for the Stokes problem. SIAM J. Numer. Anal. 46(2008), 1867-1891. DOI 10.1137/060666652
amt.ps zuletzt verändert: 2005-10-18 12:00:00
Thomas Apel, Arnd Meyer, Michael Theß: Poisson equation and Lame system over three-dimensional domains. In J. Knop, P. Schreiber (eds.): Power Explorer User Report. Parsytec Computer GmbH, Aachen, 1995, 176-178
amw.pdf zuletzt verändert: 2012-10-01 10:54:00
Thomas Apel, Roland Mücke, John R. Whiteman: An adaptive finite element technique with a priori mesh grading. BICOM Report 93/9, Brunel University London.
amw2.pdf zuletzt verändert: 2006-08-30 10:23:21
Thomas Apel, Volker Mehrmann, David Watkins: Numerical solution of large scale structured polynomial or rational eigenvalue problems. In: F. Cucker and P. Olver (eds.): Foundations of Computational Mathematics, Minneapolis 2002. London Mathematical Society Lecture Note Series, vol. 312, Cambridge University Press, 2004.
amw_proc.pdf zuletzt verändert: 2012-10-02 08:06:55
Thomas Apel, Roland Mücke, John R. Whiteman: Incorporation of a-priori mesh grading into a-posteriori adaptive mesh refinement. In A. Casal, L. Gavete, C. Conde, J. Herranz (eds.): III Congreso Matematica Aplicada/XIII C.E.D.Y.A. Madrid, 1993 Madrid, 1995, 79-92.
an1.ps zuletzt verändert: 2005-10-18 10:58:15
Thomas Apel, Serge Nicaise: The finite element method with anisotropic mesh grading for elliptic problems in domains with corners and edges. Math. Methods Appl. Sci. 21(1998), 519-549.
anftp.ps.gz zuletzt verändert: 2009-10-20 09:45:51
Thomas Apel, Serge Nicaise: The finite element method with anisotropic mesh grading for the Poisson problem in domains with edges. Technical report, TU Chemnitz-Zwickau, 1996. Improved version of Preprint SPC94_16, TU Chemnitz-Zwickau, 1994 (File spc94_16.ps below)
ans.ps.gz zuletzt verändert: 2006-08-18 12:59:40
Thomas Apel, Serge Nicaise, Joachim Schöberl: Crouzeix-Raviart type finite elements on anisotropic meshes
apel93graded.pdf zuletzt verändert: 2012-10-02 08:44:54
Thomas Apel, Anna-Margarete Sändig, John R. Whiteman: Graded mesh refinement and error estimates for finite element solutions of elliptic boundary value problems in non-smooth domains. Math. Methods Appl. Sci. 19(1996), 63-85
apel98anisotropic.pdf zuletzt verändert: 2005-10-14 14:17:37
Thomas Apel: Anisotropic mesh refinement for the treatment of boundary layers. In M. Bach, C. Constanda, G. C. Hsiao, A.-M. Sändig, P. Werner (eds.): Analysis, numerics and applications of differential and integral equations, Pitman Research Notes in Mathematics 379, Longman, Harlow, 1998, 12-16
apel98treatment.pdf zuletzt verändert: 2005-10-14 13:53:00
Thomas Apel: Treatment of boundary layers with anisotropic finite elements. Z. Angew. Math. Mech. 78(1998)S3, S855-S856.
apel_buch.jpg zuletzt verändert: 2005-10-04 14:23:14
Titelbild meines Buches
apel_buch.pdf zuletzt verändert: 2012-08-14 16:42:09
Thomas Apel: Anisotropic finite elements: local estimates and applications. Teubner, Stuttgart, 1999
apel_buch.ps.gz zuletzt verändert: 2005-10-04 14:23:14
Thomas Apel: Anisotropic finite elements: local estimates and applications. Teubner, Stuttgart, 1999
apel_eccomas04.ps zuletzt verändert: 2005-10-18 11:51:30
Thomas Apel, Cornelia Pester: Quadratic eigenvalue problems in the analysis of cracks in brittle materials. In: Proceedings of the ECCOMAS Conference, Jyväskylä 2004
ApelNicaiseCRAS07.pdf zuletzt verändert: 2008-02-11 12:41:33
Thomas Apel, Serge Nicaise: A posteriori error estimations of a SUPG method for anisotropic diffusion-convection-reaction problems. C. R. Acad. Sci. Paris, Ser. I, vol. 345, pp. 657-662, 2007.
aran.pdf zuletzt verändert: 2006-08-18 12:55:54
Thomas Apel, H. Maharavo Randrianarivony: Stability of discretizations of the Stokes problem on anisotropic meshes. Mathematics and Computers in Simulation 61(2003) 3-6, 437-447.
ars.pdf zuletzt verändert: 2008-07-31 15:03:56
Th. Apel, A. Rösch and D. Sirch: L^{\infty}-Error Estimates on Graded Meshes with Application to Optimal Control. SIAM J. Control Optim. 48(2009) 1771-1796.
arw_enumath.pdf zuletzt verändert: 2008-10-14 08:47:29
Thomas Apel, Arnd Rösch, Gunter Winkler: Discretization error estimates for an optimal control problem in a nonconvex domain. In: A. Bermúdez de Castro and D. Gómez and P. Quintela and P. Salgado (eds.): Numerical Mathematics and Advanced Applications, Proceedings of ENUMATH 2005, the 6th European Conference on Numerical Mathematics and Advanced Applications, Santiago de Compostela, Spain, July 2005, Springer, Berlin, 2006, pp. 299-307
as08.pdf zuletzt verändert: 2008-07-31 17:37:08
Thomas Apel, Dieter Sirch: L^2-error estimates for the Dirichlet and Neumann problem on anisotropic finite element meshes. Accepted by Appl. Math.
as10.pdf zuletzt verändert: 2010-11-09 14:47:33
Thomas Apel and and Dieter Sirch: A priori mesh grading for distributed optimal control problems.
ass.pdf zuletzt verändert: 2006-08-18 12:54:16
Thomas Apel, Anna-Margarete Sändig, Sergey I. Solov'ev:: Computation of 3D vertex singularities for linear elasticity: Error estimates for a finite element method on graded meshes Math. Modeling Numer. Anal. (M2AN) 36(2002)6, 1043-1070. DOI: 10.1051/n2an:2003005
ass_corrigendum.pdf zuletzt verändert: 2006-08-18 12:26:56
Thomas Apel, Arnd Meyer, Cornelia Pester: Corrigendum: Computation of 3{D} vertex singularities for linear elasticity: Error estimates for a finite element method on graded meshes
asw08.pdf zuletzt verändert: 2008-12-01 17:21:05
Thomas Apel, Dieter Sirch and Gunter Winkler: Error Estimates for Control Constrained Optimal Control Problems: Discretization with Anisotropic Finite Element Meshes. Preprint SPP1253-02-06, DFG Priority Program 1253, Erlangen, 2008. Submitted to Math. Program.
aw.pdf zuletzt verändert: 2008-02-06 10:23:07
Thomas Apel, Gunter Winkler: Optimal control under reduced regularity. Revised version published in Appl. Numer. Math., 59(2009), 2050--2064.
cocos.pdf zuletzt verändert: 2012-10-25 10:30:30
Cornelia Pester: CoCoS. Computation of Corner Singularities. Preprint SFB393/05-03, TU Chemnitz, 2005.
edgemg.ps.gz zuletzt verändert: 2005-10-13 13:35:13
Thomas Apel, Joachim Schöberl: Multigrid methods for anisotropic edge refinement. SIAM J. Numer. Anal. 40(2002) 5, 1993-2006.
fem3d.ps.gz zuletzt verändert: 2005-10-13 13:50:05
Thomas Apel, Serge Nicaise, Joachim Schöberl: Finite element methods with anisotropic meshes near edges. In M. Krizek and P. Neittaanmäki (eds.): Proc. Internat. Conf. Finite Element Methods: Three-dimensional Problems. GAKUTO Internat. Series, Math. Sci. Appl., vol. 15, Gakkotosho, Tokyo, 2001, 1-8.
gamm_proc.ps zuletzt verändert: 2005-10-18 11:01:32
Thomas Apel: Treatment of boundary layers with anisotropic finite elements. Z. Angew. Math. Mech. 78(1998)S3, S855-S856.
hestonfem.pdf zuletzt verändert: 2005-10-18 12:21:38
Thomas Apel, Gunter Winkler, Uwe Wystup: Valuation of options in Heston's stochastic volatility model using finite element methods. In J. Hakala and U. Wystup (eds.): Foreign Exchange Risk, Risk Books, London, 2001, 283-303.
lak06.pdf zuletzt verändert: 2006-08-18 11:05:34
G. Lube, Th. Apel, T. Knopp: Stabilized finite element methods with anisotropic mesh refinement for the Oseen problem. In G. Lube, G. Rapin (eds.): Proc. of the Int. Conference on Boundary and Interior Layers, BAIL 2006, University of Göttingen, Germany.
mafelap99.ps zuletzt verändert: 2006-08-28 16:17:06
Thomas Apel, Martin Berzins, Peter Jimack, Gerd Kunert, Alexander Plaks, Igor Tsukerman, Mark Walkley: Mesh Shape and Anisotropic elements: Theory and Practice. In J. R. Whiteman (ed.): The Mathematics of Finite Elements and Applications X, Elsevier, Amsterdam, 2000, 367-376
pman.ps.Z zuletzt verändert: 2005-10-13 13:57:56
Thomas Apel, Frank Milde, Michael Theß: Preprint SPC95_34, TU Chemnitz-Zwickau, 1995 SPC-PM Po 3D - Programmer's Manual.
sfb00-11.ps.gz zuletzt verändert: 2005-10-14 11:28:00
Thomas Apel, Serge Nicaise, Joachim Schöberl: A non-conforming finite element method with anisotropic mesh grading for the Stokes problem in domains with edges. IMA J. Num. Anal. 21(2001)4, 843-856.
sfb01-25.pdf zuletzt verändert: 2005-10-13 13:27:57
Thomas Apel, Volker Mehrmann, David Watkins: Structured eigenvalue methods for the computation of corner singularities in 3D anisotropic elastic structures. Comput. Methods Appl. Mech. Engrg. 191(2002), 4459-4473, DOI: 10.1016/S0045-7825(02)00390-0
sfb03-09.pdf zuletzt verändert: 2005-10-13 13:19:20
Thomas Apel, Nico Düvelmeyer: Transformation of hexahedral finite element meshes into tetrahedral meshes according to quality criteria. Computing, 71(2003), 293--304.
sfb03-15.pdf zuletzt verändert: 2005-10-13 13:11:39
Thomas Apel, Serge Nicaise: The inf-sup condition for the Bernardi-Fortin-Raugel element on anisotropic meshes. Calcolo 41(2004), 89-113
SFB393_01.ps zuletzt verändert: 2005-10-14 11:41:41
Thomas Apel, Gert Lube: Anisotropic mesh refinement for a singularly perturbed reaction diffusion model problem. Appl. Numer. Math. 26(1998), 415-433
SFB393_13.pdf zuletzt verändert: 2005-10-13 13:02:26
Thomas Apel, Cornelia Pester: Clement-type interpolation on spherical domains - interpolation error estimates and application to a posteriori error estimation. IMA J. Numer. Anal., doi:10.1093/imanum/drh024, published online on January 21, 2005.
sfb96-18a.ps zuletzt verändert: 2005-10-18 12:07:28
Thomas Apel, Uwe Reichel: Partitioning of finite element meshes for parallel computing: A case study. Preprint SFB393/96-18a, TU Chemnitz-Zwickau, 1997
sfb97-06.ps.gz zuletzt verändert: 2005-10-14 11:34:18
Thomas Apel: Interpolation of non-smooth functions on anisotropic finite element meshes. Math. Modeling Numer. Anal. 33(1999) 6, 1149-1185
sfb97-07.ps.gz zuletzt verändert: 2005-10-14 11:37:18
Thomas Apel, Serge Nicaise: The finite element method with anisotropic mesh grading for elliptic problems in domains with corners and edges. Math. Methods Appl. Sci. 21(1998), 519-549.
sfb99-06.ps.gz zuletzt verändert: 2005-10-13 13:56:02
Thomas Apel, Uwe Reichel: SPC-PM Po 3D v3.3 - User's Manual. Preprint SFB393/99-06, TU Chemnitz, 1999
sfb99-10.ps.gz zuletzt verändert: 2005-10-14 12:30:45
Thomas Apel, Serge Nicaise, Joachim Schöberl: Crouzeix-Raviart type finite elements on anisotropic meshes. Numer. Math. 89 (2001), 193-223
sfb99-37.ps.gz zuletzt verändert: 2005-10-13 13:53:10
Thomas Apel, Frank Milde, Uwe Reichel: SPC-PM Po 3D v4.0 - Programmer's Manual. Preprint SFB393/99-37, TU Chemnitz, 1999
spc94_15.ps zuletzt verändert: 2005-10-14 12:37:39
Thomas Apel, Frank Milde: Comparison of various mesh refinement strategies near edges. Comm. Numer. Methods Engrg. 12(1996), 373-381
spc94_16.ps zuletzt verändert: 2005-10-14 12:40:21
Thomas Apel, Serge Nicaise: Elliptic problems in domains with edges: anisotropic regularity and anisotropic finite element meshes. In J. Cea, D. Chenais, G. Geymonat, J. L. Lions (eds.): Partial Differential Equations and Functional Analysis (In Memory of Pierre Grisvard) Birkhäuser, Boston, 1996, 18-34
spc94_26.ps zuletzt verändert: 2005-10-14 12:47:45
Thomas Apel, Gert Lube: Local inequalities for anisotropic finite elements and their application to convection-diffusion problems. Preprint SPC94_26, TU Chemnitz-Zwickau, 1994
spc95-01.ps zuletzt verändert: 2005-10-14 12:50:03
Thomas Apel, Gert Lube: Anisotropic mesh refinement in stabilized Galerkin methods. Numer. Math. 74(1996), 261-282
spc95-05.ps zuletzt verändert: 2005-10-14 12:54:04
Thomas Apel, Gundolf Haase, Arnd Meyer, Matthias Pester: Parallel solution of finite element equation systems: efficient inter-processor communication. Preprint SPC95_5, TU Chemnitz-Zwickau, 1995
uman.ps zuletzt verändert: 2005-10-18 12:57:52
Thomas Apel: SPC-PM Po 3D - User's Manual. Preprint SPC95_33, TU Chemnitz-Zwickau, 1995
vier.ps zuletzt verändert: 2005-10-14 12:59:46
Thomas Apel: Anisotropic interpolation error estimates for isoparametric quadrilateral finite elements. Computing 60(1998), 157-174