Dr. Ralf Hiptmair: Publikationen

Dr. Ralf Hiptmair: Publications

Current as of 9.9.2002, Chronological list -- DOWNLOAD PAGE
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Refereed Articles in Journals or Collections

[1] R. HIPTMAIR, T. SCHIEKOFER UND B. WOHLMUTH, Multilevel preconditioned augmented Lagrangian techniques for 2nd order mixed problems, Computing, 57 (1996), pp. 25-48. LINK
Abstract
PS PDF

[2] R. HIPTMAIR, Multigrid method for $H({\rm div})$ in three dimensions, ETNA, 6 (1997), pp. 133-152. LINK
Abstract
PS PDF

[3] R. HIPTMAIR, Nonconforming vector valued finite elements, East-West J. Num. Math., 5 (1997), pp. 163-182. LINK
Abstract
PS PDF

[4] R. HIPTMAIR AND R. HOPPE, , Multilevel preconditioning for mixed problems in three dimensions, Numer. Math., 82 (1999), pp. 253-279. LINK
Abstract
PS PDF

[5] R. HIPTMAIR, Canonical construction of finite elements, Math. Comp., 68 (1999), pp. 1325-1346. LINK
Abstract
PS PDF

[6] R. HIPTMAIR UND A. TOSELLI, Overlapping and multilevel Schwarz methods for vector valued elliptic problems in three dimensions, in Parallel Solution of Partial Differential Equations, P. Bjorstad und M. Luskin, Hrsg., Nr. 120 in IMA Volumes in Mathematics und its Applications, Springer, Berlin, 1999, pp. 181-202. LINK
Abstract
PS PDF

[7] R. BECK, P. DEUFLHARD, R. HIPTMAIR, R. HOPPE UND B. WOHLMUTH, Adaptive multilevel methods for edge element discretizations of Maxwell's equations, Surveys on Mathematics for Industry, 8 (1998), pp. 271-312. LINK
Abstract
PS PDF

[8] R. HIPTMAIR, Multigrid method for Maxwell's equations, SIAM J. Numer. Anal., 36 (1999), pp. 204-225. LINK
Abstract
PS PDF

[9] R. BECK UND R. HIPTMAIR, Multilevel solution of the time-harmonic Maxwell equations based on edge elements, Int. J. Num. Meth. Engr., 45 (1999), pp. 901-920. LINK
Abstract
PS PDF

[10] V. GRADINARU UND R. HIPTMAIR, Whitney elements on pyramids, ETNA, 8 (1999), pp. 154-168. LINK
Abstract
PS PDF

[11] R. BECK, R. HIPTMAIR, R. HOPPE UND B. WOHLMUTH, Residual based a-posteriori error estimators for eddy current computation, M²AN, 34 (2000), pp. 159-182. LINK
Abstract
PS PDF

[12] R. BECK, R. HIPTMAIR UND B. WOHLMUTH, A hierarchical error estimator for eddy current computation, in ENUMATH 99 - Proceedings of the 3rd European Conference on Numerical Mathematics und Advanced Applications, Jyväskylä, Finland, 26-30 Juli, P. Neittaanmäki und T. Tiihonen, Hrsg., World Scientific, Singapore, 2000, pp. 110-120. Abstract
PS PDF

[13] B. ENGELMANN, R. HIPTMAIR, R. HOPPE UND G. MAZURKEVICH, Numerical simulation of electrorheological fluids based on an extended Bingham model, Computing und Visualization in Science, 2 (2000), pp. 211-219. LINK
Abstract
PS PDF

[14] R. HIPTMAIR, Multilevel gauging for edge elements, Computing, 64 (2000), pp. 97-122. LINK
Abstract
PS PDF

[15] R. HIPTMAIR, Discrete Hodge operators: An algebraic perspective, Progress in Electromagnetics Research, PIER, 32 (2001), pp. 247-269. LINK, LINK
Abstract
PS PDF

[16] R. HIPTMAIR, Higher order Whitney forms, Progress in Electromagnetics Research, PIER, 32 (2001), pp. 271-299. LINK, LINK
Abstract
PS PDF

[17] S. BöRM AND R. HIPTMAIR, Analysis of tensor product multigrid, Numerical Algorithms, 26 (2001), 219-234 LINK
Abstract
PS PDF

[18] R. HIPTMAIR, Discrete Hodge operators, Numer. Math. Published online May 30, 2001 LINK
Abstract
PS PDF

[19] S. BöRM UND R. HIPTMAIR, Multigrid computation of axisymmetric electromagnetic fields, Report 138, Sonderforschungsbereich 382, Universität Tübingen, February 2000.
Adv. Comp. Math., 16(4), 2001, pp. 331-356. Abstract
PS PDF

[20] V. GRADINARU UND R. HIPTMAIR, Whitney forms on sparse grids, Report 153, Sonderforschungsbereich 382, Universität Tübingen, April 2000.
To appear in Numer. Math. Published online January 30, 2002. LINK
Abstract
PS PDF

[21] R. HIPTMAIR, Symmetric coupling for eddy current problems, Report 148, Sonderforschungsbereich 382, Universität Tübingen, March 2000.
SIAM J. Numer. Anal., 40(1), 2002, pp. 41-65. LINK
Abstract
PS PDF

[22] R. HIPTMAIR AND C. SCHWAB, Natural BEM for the electric field integral equation on polyhedra, Report 2001-04, Seminar für Angewandte Mathematik, ETH Zürich, April 2001.
SIAM J. Numer. Anal., 40(1), 2002, pp. 66-86. LINK
Abstract
PS PDF

[23] R. HIPTMAIR AND K. NEYMEYR, Multilevel method for mixed eigenproblems, Report 159, Sonderforschungsbereich 382, Universität Tübingen, January 2001.
SIAM J. Sci. Comp., 23(6), 2002, pp. 2141-2164. LINK
Abstract
PS PDF

[24] R. HIPTMAIR, Multigrid for eddy current computation, Report 154, Sonderforschungsbereich 382, Universität Tübingen, March 2000.
To appear in Math. Comp.
Abstract
PS PDF

[25]
R. HIPTMAIR AND J. OSTROWSKI, Generators of $H_1(\Gamma_{\symbol{104}},\mathbb{Z} )$ for triangulated surfaces: Construction and classification, SIAM J. Computing 31(5), pp. 1405-1423.
Abstract
PS PDF
Link

[26] R. HIPTMAIR, Boundary Element Methods for Eddy Current Computation, Cmputational Electromagnetics, vol 28 of Springer Lecture Notes in Computational Science and Engineering, 2003, pp. 103-126 Abstract
PS PDF

Accepted Papers

[27] A. BUFFA, R. HIPTMAIR, T. von PETERSDORFF, and C. SCHWAB, Boundary Element Methods for Maxwell Equations in Lipschitz Domains, Report 2001-05, Seminar für Angewandte Mathematik, ETH Zürich, July 2001.
To appear in Numer. Math. Abstract
PS PDF

[28] R. HIPTMAIR, Coupling of Finite Elements and Boundary Elements in Electromagnetic Scattering, Report 164, Sonderforschungsbereich 382, July 2001.
Submitted to SIAM J. Numer. Anal. Abstract
PS PDF

[29] V. GRADINARU and R. HIPTMAIR, Multigrid for discrete differential forms on sparse grids, Report Nr. 183, SFB 382, Universität Tübingen, December 2002. To appear in Computing Abstract

[29] R. HIPTMAIR and A. SCHÄDLE, Non-reflecting boundary conditions for Maxwell's equations, To appear in Computing Abstract

Submitted Papers

[30] A. BUFFA and R. HIPTMAIR, A coercive field integral equation for electromagnetic scattering, Preprint NI03003, Isaac Newton Institute for Mathematical Sciences , Cambridge, UK, February 2003. Submitted to SIAM J. Numer. Anal. Abstract
PDF

[31] A. ALONSO-RODRIGUEZ, R. HIPTMAIR and A. VALLI, Mixed Finite Element Approximation of Eddy Current Problems, Report 8/2003, Universita degli studi di Milano, Dipartimento di Matematica, March 2003. Submitted to IMA J. Numer. Anal. Abstract

Contributions to Proceedings and Reports and other Publications

[32] R. HIPTMAIR AND R. HOPPE, Mixed finite element discretization of continuity equations arising in semiconductor device simulation, in Proceedings of a Conference held at the Mathematisches Forschungsinstitut Oberwolfach, 5-11 Juli, 1992, R. Bank, R. Bulirsch, H. Gajewski, und K. Merten, Hrsg., 1993, pp. 197-217. Abstract
PS PDF

[33] R. HIPTMAIR UND I. SCHMITT, Compatibility conditions for semiconductor equations, Bericht TUM-M9409, Mathematisches Institut, TU München, 1994. Abstract
PS PDF

[34] R. HIPTMAIR, R. HOPPE UND B. WOHLMUTH, Coupling problems in microelectronic device simulation, in Notes on Numerical Fluid Mechanics Vol. 51, W. Hackbusch und G. Wittum, Hrsg., Vieweg, Braunschweig, 1995, pp. 86-95.
Abstract
PS PDF

[35] R. HIPTMAIR, Concepts for an object oriented finite element code, Bericht 335, Math.-Nat. Fakultät, Universität Augsburg, 1995. Abstract
PS PDF

[36] R. HIPTMAIR, J. OSTROWSKI UND R. QUAST, Modelling and simulation of induction heating, Report 149, SFB 382, Universität Tübingen, März 2000. Abstract
PS PDF

[37] R. HIPTMAIR, J. Metzger, Automated local mode analysis, Report 174, SFB 382, Universität Tübingen, Februar 2000. Abstract
PS

[38] R. HIPTMAIR, Abenteuer Anwendung, DMV-Nachrichten, No. 4, 2002, pp. 19-24. Abstract
PS PDF

[39] R. HIPTMAIR, Construction and Classification of Surface Cycles Proceedings of the European Symposium on Numerical Methods in Electromagnetics, Toulouse, France, March 6-8, 2002, B. Michelsen and F. Decvele, eds., ONERA, Toulouse, pp. 239-244 Abstract
PS

[40] R. HIPTMAIR, Transmission Problems in Eddy Current Computation Proceedings of the European Symposium on Numerical Methods in Electromagnetics, Toulouse, France, March 6-8, 2002, B. Michelsen and F. Decvele, eds., ONERA, Toulouse, pp. 13-18 Abstract
PS

[41] R. HIPTMAIR, From E to Edge Elements Berichte des IZWR, 1, 2003, pp. 39-47. Abstract
PDF

[41] R. HIPTMAIR, Coupled Boundary Element Scheme for Eddy Current Computation Proceedings 2. Kolloquium Elektromagnetische Umformung, Dortmund 28.05.2003 Abstract

Theses

[42] Multilevel Preconditioning for Mixed Problems in Three Dimensions, PhD Thesis, Bd. 8 der Augsburger mathematisch-naturwissenschaftlichen Schriften, Wißner, Augsburg, 1996. Abstract
PS PDF

[43] Multilevel Numerical Methods for Computational Electromagntism Habilitationsschrift, Mathematische Fakultät, Universität Tübingen, Februar 2002.

Ralf Hiptmair, 9.9.2002

[1]	R. HIPTMAIR, T. SCHIEKOFER UND B. WOHLMUTH, Multilevel preconditioned augmented Lagrangian techniques for 2nd order mixed problems, Computing, 57 (1996), pp. 25-48.	LINK Abstract PS PDF
[2]	R. HIPTMAIR, Multigrid method for $H({\rm div})$ in three dimensions, ETNA, 6 (1997), pp. 133-152.	LINK Abstract PS PDF
[3]	R. HIPTMAIR, Nonconforming vector valued finite elements, East-West J. Num. Math., 5 (1997), pp. 163-182.	LINK Abstract PS PDF
[4]	R. HIPTMAIR AND R. HOPPE, , Multilevel preconditioning for mixed problems in three dimensions, Numer. Math., 82 (1999), pp. 253-279.	LINK Abstract PS PDF
[5]	R. HIPTMAIR, Canonical construction of finite elements, Math. Comp., 68 (1999), pp. 1325-1346.	LINK Abstract PS PDF
[6]	R. HIPTMAIR UND A. TOSELLI, Overlapping and multilevel Schwarz methods for vector valued elliptic problems in three dimensions, in Parallel Solution of Partial Differential Equations, P. Bjorstad und M. Luskin, Hrsg., Nr. 120 in IMA Volumes in Mathematics und its Applications, Springer, Berlin, 1999, pp. 181-202.	LINK Abstract PS PDF
[7]	R. BECK, P. DEUFLHARD, R. HIPTMAIR, R. HOPPE UND B. WOHLMUTH, Adaptive multilevel methods for edge element discretizations of Maxwell's equations, Surveys on Mathematics for Industry, 8 (1998), pp. 271-312.	LINK Abstract PS PDF
[8]	R. HIPTMAIR, Multigrid method for Maxwell's equations, SIAM J. Numer. Anal., 36 (1999), pp. 204-225.	LINK Abstract PS PDF
[9]	R. BECK UND R. HIPTMAIR, Multilevel solution of the time-harmonic Maxwell equations based on edge elements, Int. J. Num. Meth. Engr., 45 (1999), pp. 901-920.	LINK Abstract PS PDF
[10]	V. GRADINARU UND R. HIPTMAIR, Whitney elements on pyramids, ETNA, 8 (1999), pp. 154-168.	LINK Abstract PS PDF
[11]	R. BECK, R. HIPTMAIR, R. HOPPE UND B. WOHLMUTH, Residual based a-posteriori error estimators for eddy current computation, M²AN, 34 (2000), pp. 159-182.	LINK Abstract PS PDF
[12]	R. BECK, R. HIPTMAIR UND B. WOHLMUTH, A hierarchical error estimator for eddy current computation, in ENUMATH 99 - Proceedings of the 3rd European Conference on Numerical Mathematics und Advanced Applications, Jyväskylä, Finland, 26-30 Juli, P. Neittaanmäki und T. Tiihonen, Hrsg., World Scientific, Singapore, 2000, pp. 110-120.	Abstract PS PDF
[13]	B. ENGELMANN, R. HIPTMAIR, R. HOPPE UND G. MAZURKEVICH, Numerical simulation of electrorheological fluids based on an extended Bingham model, Computing und Visualization in Science, 2 (2000), pp. 211-219.	LINK Abstract PS PDF
[14]	R. HIPTMAIR, Multilevel gauging for edge elements, Computing, 64 (2000), pp. 97-122.	LINK Abstract PS PDF
[15]	R. HIPTMAIR, Discrete Hodge operators: An algebraic perspective, Progress in Electromagnetics Research, PIER, 32 (2001), pp. 247-269.	LINK, LINK Abstract PS PDF
[16]	R. HIPTMAIR, Higher order Whitney forms, Progress in Electromagnetics Research, PIER, 32 (2001), pp. 271-299.	LINK, LINK Abstract PS PDF
[17]	S. BöRM AND R. HIPTMAIR, Analysis of tensor product multigrid, Numerical Algorithms, 26 (2001), 219-234	LINK Abstract PS PDF
[18]	R. HIPTMAIR, Discrete Hodge operators, Numer. Math. Published online May 30, 2001	LINK Abstract PS PDF
[19]	S. BöRM UND R. HIPTMAIR, Multigrid computation of axisymmetric electromagnetic fields, Report 138, Sonderforschungsbereich 382, Universität Tübingen, February 2000. Adv. Comp. Math., 16(4), 2001, pp. 331-356.	Abstract PS PDF
[20]	V. GRADINARU UND R. HIPTMAIR, Whitney forms on sparse grids, Report 153, Sonderforschungsbereich 382, Universität Tübingen, April 2000. To appear in Numer. Math. Published online January 30, 2002.	LINK Abstract PS PDF
[21]	R. HIPTMAIR, Symmetric coupling for eddy current problems, Report 148, Sonderforschungsbereich 382, Universität Tübingen, March 2000. SIAM J. Numer. Anal., 40(1), 2002, pp. 41-65.	LINK Abstract PS PDF
[22]	R. HIPTMAIR AND C. SCHWAB, Natural BEM for the electric field integral equation on polyhedra, Report 2001-04, Seminar für Angewandte Mathematik, ETH Zürich, April 2001. SIAM J. Numer. Anal., 40(1), 2002, pp. 66-86.	LINK Abstract PS PDF
[23]	R. HIPTMAIR AND K. NEYMEYR, Multilevel method for mixed eigenproblems, Report 159, Sonderforschungsbereich 382, Universität Tübingen, January 2001. SIAM J. Sci. Comp., 23(6), 2002, pp. 2141-2164.	LINK Abstract PS PDF
[24]	R. HIPTMAIR, Multigrid for eddy current computation, Report 154, Sonderforschungsbereich 382, Universität Tübingen, March 2000. To appear in Math. Comp.	Abstract PS PDF
[25]	R. HIPTMAIR AND J. OSTROWSKI, Generators of $H_1(\Gamma_{\symbol{104}},\mathbb{Z} )$ for triangulated surfaces: Construction and classification, SIAM J. Computing 31(5), pp. 1405-1423.	Abstract PS PDF Link
[26]	R. HIPTMAIR, Boundary Element Methods for Eddy Current Computation, Cmputational Electromagnetics, vol 28 of Springer Lecture Notes in Computational Science and Engineering, 2003, pp. 103-126	Abstract PS PDF

[27]	A. BUFFA, R. HIPTMAIR, T. von PETERSDORFF, and C. SCHWAB, Boundary Element Methods for Maxwell Equations in Lipschitz Domains, Report 2001-05, Seminar für Angewandte Mathematik, ETH Zürich, July 2001. To appear in Numer. Math.	Abstract PS PDF
[28]	R. HIPTMAIR, Coupling of Finite Elements and Boundary Elements in Electromagnetic Scattering, Report 164, Sonderforschungsbereich 382, July 2001. Submitted to SIAM J. Numer. Anal.	Abstract PS PDF
[29]	V. GRADINARU and R. HIPTMAIR, Multigrid for discrete differential forms on sparse grids, Report Nr. 183, SFB 382, Universität Tübingen, December 2002. To appear in Computing	Abstract
[29]	R. HIPTMAIR and A. SCHÄDLE, Non-reflecting boundary conditions for Maxwell's equations, To appear in Computing	Abstract

[30]	A. BUFFA and R. HIPTMAIR, A coercive field integral equation for electromagnetic scattering, Preprint NI03003, Isaac Newton Institute for Mathematical Sciences , Cambridge, UK, February 2003. Submitted to SIAM J. Numer. Anal.	Abstract PDF
[31]	A. ALONSO-RODRIGUEZ, R. HIPTMAIR and A. VALLI, Mixed Finite Element Approximation of Eddy Current Problems, Report 8/2003, Universita degli studi di Milano, Dipartimento di Matematica, March 2003. Submitted to IMA J. Numer. Anal.	Abstract

[32]	R. HIPTMAIR AND R. HOPPE, Mixed finite element discretization of continuity equations arising in semiconductor device simulation, in Proceedings of a Conference held at the Mathematisches Forschungsinstitut Oberwolfach, 5-11 Juli, 1992, R. Bank, R. Bulirsch, H. Gajewski, und K. Merten, Hrsg., 1993, pp. 197-217.	Abstract PS PDF
[33]	R. HIPTMAIR UND I. SCHMITT, Compatibility conditions for semiconductor equations, Bericht TUM-M9409, Mathematisches Institut, TU München, 1994.	Abstract PS PDF
[34]	R. HIPTMAIR, R. HOPPE UND B. WOHLMUTH, Coupling problems in microelectronic device simulation, in Notes on Numerical Fluid Mechanics Vol. 51, W. Hackbusch und G. Wittum, Hrsg., Vieweg, Braunschweig, 1995, pp. 86-95.	Abstract PS PDF
[35]	R. HIPTMAIR, Concepts for an object oriented finite element code, Bericht 335, Math.-Nat. Fakultät, Universität Augsburg, 1995.	Abstract PS PDF
[36]	R. HIPTMAIR, J. OSTROWSKI UND R. QUAST, Modelling and simulation of induction heating, Report 149, SFB 382, Universität Tübingen, März 2000.	Abstract PS PDF
[37]	R. HIPTMAIR, J. Metzger, Automated local mode analysis, Report 174, SFB 382, Universität Tübingen, Februar 2000.	Abstract PS
[38]	R. HIPTMAIR, Abenteuer Anwendung, DMV-Nachrichten, No. 4, 2002, pp. 19-24.	Abstract PS PDF
[39]	R. HIPTMAIR, Construction and Classification of Surface Cycles Proceedings of the European Symposium on Numerical Methods in Electromagnetics, Toulouse, France, March 6-8, 2002, B. Michelsen and F. Decvele, eds., ONERA, Toulouse, pp. 239-244	Abstract PS
[40]	R. HIPTMAIR, Transmission Problems in Eddy Current Computation Proceedings of the European Symposium on Numerical Methods in Electromagnetics, Toulouse, France, March 6-8, 2002, B. Michelsen and F. Decvele, eds., ONERA, Toulouse, pp. 13-18	Abstract PS
[41]	R. HIPTMAIR, From E to Edge Elements Berichte des IZWR, 1, 2003, pp. 39-47.	Abstract PDF
[41]	R. HIPTMAIR, Coupled Boundary Element Scheme for Eddy Current Computation Proceedings 2. Kolloquium Elektromagnetische Umformung, Dortmund 28.05.2003	Abstract

[42]	Multilevel Preconditioning for Mixed Problems in Three Dimensions, PhD Thesis, Bd. 8 der Augsburger mathematisch-naturwissenschaftlichen Schriften, Wißner, Augsburg, 1996.	Abstract PS PDF
[43]	Multilevel Numerical Methods for Computational Electromagntism Habilitationsschrift, Mathematische Fakultät, Universität Tübingen, Februar 2002.