Schulz, Erick; Hiptmair, Ralf Coupled domain-boundary variational formulations for Hodge-Helmholtz operators. (English) Zbl 07506752 Integral Equations Oper. Theory 94, No. 1, Paper No. 7, 29 p. (2022). MSC: 35Q61 35Q60 65N30 65N38 78A45 78M10 78M15 PDF BibTeX XML Cite \textit{E. Schulz} and \textit{R. Hiptmair}, Integral Equations Oper. Theory 94, No. 1, Paper No. 7, 29 p. (2022; Zbl 07506752) Full Text: DOI OpenURL
Casati, Daniele; Codecasa, Lorenzo; Hiptmair, Ralf; Moro, Federico Trefftz co-chain calculus. (English) Zbl 07468363 Z. Angew. Math. Phys. 73, No. 1, Paper No. 43, 22 p. (2022). MSC: 65N30 65N80 78A25 35Q61 PDF BibTeX XML Cite \textit{D. Casati} et al., Z. Angew. Math. Phys. 73, No. 1, Paper No. 43, 22 p. (2022; Zbl 07468363) Full Text: DOI OpenURL
Claeys, Xavier; Giacomel, Lorenzo; Hiptmair, Ralf; Urzúa-Torres, Carolina Quotient-space boundary element methods for scattering at complex screens. (English) Zbl 1479.65034 BIT 61, No. 4, 1193-1221 (2021). MSC: 65N38 65N30 78M15 78M10 76M15 76M10 78A45 76Q05 35R09 45K05 45A05 65R20 65F10 PDF BibTeX XML Cite \textit{X. Claeys} et al., BIT 61, No. 4, 1193--1221 (2021; Zbl 1479.65034) Full Text: DOI OpenURL
Ostrowski, Jörg; Hiptmair, Ralf Frequency-stable full Maxwell in electro-quasistatic gauge. (English) Zbl 1479.35853 SIAM J. Sci. Comput. 43, No. 4, B1008-B1028 (2021). MSC: 35Q61 65N30 65N12 78A30 78M10 35B35 PDF BibTeX XML Cite \textit{J. Ostrowski} and \textit{R. Hiptmair}, SIAM J. Sci. Comput. 43, No. 4, B1008--B1028 (2021; Zbl 1479.35853) Full Text: DOI OpenURL
Hiptmair, Ralf; Urzúa-Torres, Carolina Preconditioning the EFIE on screens. (English) Zbl 1451.78044 Math. Models Methods Appl. Sci. 30, No. 9, 1705-1726 (2020). MSC: 78M15 65N30 65R20 78A40 PDF BibTeX XML Cite \textit{R. Hiptmair} and \textit{C. Urzúa-Torres}, Math. Models Methods Appl. Sci. 30, No. 9, 1705--1726 (2020; Zbl 1451.78044) Full Text: DOI OpenURL
Casati, Daniele; Hiptmair, Ralf Coupling FEM with a multiple-subdomain Trefftz method. (English) Zbl 1447.35130 J. Sci. Comput. 82, No. 3, Paper No. 74, 23 p. (2020). Reviewer: Alain Brillard (Riedisheim) MSC: 35J15 35P25 35Q61 65K10 65N30 65Z05 78A45 78M10 78M16 PDF BibTeX XML Cite \textit{D. Casati} and \textit{R. Hiptmair}, J. Sci. Comput. 82, No. 3, Paper No. 74, 23 p. (2020; Zbl 1447.35130) Full Text: DOI OpenURL
Hiptmair, R.; Urzúa-Torres, C. Compact equivalent inverse of the electric field integral operator on screens. (English) Zbl 1446.45015 Integral Equations Oper. Theory 92, No. 1, Paper No. 9, 14 p. (2020). MSC: 45P05 31A10 78A25 PDF BibTeX XML Cite \textit{R. Hiptmair} and \textit{C. Urzúa-Torres}, Integral Equations Oper. Theory 92, No. 1, Paper No. 9, 14 p. (2020; Zbl 1446.45015) Full Text: DOI OpenURL
Hiptmair, Ralf; Li, Jingzhi Shape derivatives for scattering problems. (English) Zbl 1421.35352 Inverse Probl. 34, No. 10, Article ID 105001, 25 p. (2018). MSC: 35Q60 35R30 76Q05 78A45 PDF BibTeX XML Cite \textit{R. Hiptmair} and \textit{J. Li}, Inverse Probl. 34, No. 10, Article ID 105001, 25 p. (2018; Zbl 1421.35352) Full Text: DOI OpenURL
Claeys, Xavier; Hiptmair, Ralf; Spindler, Elke Second-kind boundary integral equations for electromagnetic scattering at composite objects. (English) Zbl 1397.65307 Comput. Math. Appl. 74, No. 11, 2650-2670 (2017). MSC: 65N38 78A45 78A48 65F10 65N12 78M15 35J05 PDF BibTeX XML Cite \textit{X. Claeys} et al., Comput. Math. Appl. 74, No. 11, 2650--2670 (2017; Zbl 1397.65307) Full Text: DOI OpenURL
Casagrande, Raffael; Winkelmann, Christoph; Hiptmair, Ralf; Ostrowski, Joerg DG treatment of non-conforming interfaces in 3D curl-curl problems. (English) Zbl 1383.78034 Bartel, Andreas (ed.) et al., Scientific computing in electrical engineering. SCEE 2014. Proceedings of the 10th international conference, Wuppertal, Germany, July 22–25, 2014. Cham: Springer (ISBN 978-3-319-30398-7/hbk; 978-3-319-30399-4/ebook). Mathematics in Industry 23. The European Consortium for Mathematics in Industry, 53-61 (2016). MSC: 78M10 78A30 78A25 65N30 35B45 PDF BibTeX XML Cite \textit{R. Casagrande} et al., Math. Ind. 23, 53--61 (2016; Zbl 1383.78034) Full Text: DOI OpenURL
Peng, Zhen; Hiptmair, Ralf; Shao, Yang; MacKie-Mason, Brian Domain decomposition preconditioning for surface integral equations in solving challenging electromagnetic scattering problems. (English) Zbl 1374.78043 IEEE Trans. Antennas Propag. 64, No. 1, 210-223 (2016). MSC: 78A48 PDF BibTeX XML Cite \textit{Z. Peng} et al., IEEE Trans. Antennas Propag. 64, No. 1, 210--223 (2016; Zbl 1374.78043) Full Text: DOI OpenURL
Claeys, X.; Hiptmair, R. Integral equations for electromagnetic scattering at multi-screens. (English) Zbl 1337.78008 Integral Equations Oper. Theory 84, No. 1, 33-68 (2016). MSC: 78A45 45A05 65R20 35J05 PDF BibTeX XML Cite \textit{X. Claeys} and \textit{R. Hiptmair}, Integral Equations Oper. Theory 84, No. 1, 33--68 (2016; Zbl 1337.78008) Full Text: DOI Link OpenURL
Hiptmair, Ralf Maxwell’s equations: continuous and discrete. (English) Zbl 1331.78035 Bermúdez de Castro, Alfredo (ed.) et al., Computational electromagnetism. Lectures from the CIME school, Cetraro, Italy, June 9–14, 2014. Cham: Springer; Florence: Fondazione CIME (ISBN 978-3-319-19305-2/pbk; 978-3-319-19306-9/ebook). Lecture Notes in Mathematics 2148. CIME Foundation Subseries, 1-58 (2015). MSC: 78M30 78A25 35Q61 78M10 65M60 65N30 65N15 PDF BibTeX XML Cite \textit{R. Hiptmair}, Lect. Notes Math. 2148, 1--58 (2015; Zbl 1331.78035) Full Text: DOI OpenURL
Bermúdez de Castro, Alfredo (ed.); Valli, Alberto (ed.) [Haddar, Houssem; Hiptmair, Ralf; Monk, Peter; Rodríguez, Rodolfo] Computational electromagnetism. Lectures from the CIME school, Cetraro, Italy, June 9–14, 2014. (English) Zbl 1321.78002 Lecture Notes in Mathematics 2148. CIME Foundation Subseries. Cham: Springer; Florence: Fondazione CIME (ISBN 978-3-319-19305-2/pbk; 978-3-319-19306-9/ebook). vii, 240 p. (2015). MSC: 78-06 78Mxx 00A79 78A25 65Z05 00B25 PDF BibTeX XML Cite \textit{A. Bermúdez de Castro} (ed.) and \textit{A. Valli} (ed.), Computational electromagnetism. Lectures from the CIME school, Cetraro, Italy, June 9--14, 2014. Cham: Springer; Florence: Fondazione CIME (2015; Zbl 1321.78002) Full Text: DOI OpenURL
Claeys, Xavier; Hiptmair, Ralf; Jerez-Hanckes, Carlos Multitrace boundary integral equations. (English) Zbl 1291.78040 Graham, Ivan (ed.) et al., Direct and inverse problems in wave propagation and applications. Selected papers of the workshop on wave propagation and scattering, inverse problems and applications in energy and the environment, Linz, Austria, November 21–25, 2011. Berlin: de Gruyter (ISBN 978-3-11-028223-8/hbk; 978-3-11-028228-3/ebook). Radon Series on Computational and Applied Mathematics 14, 51-100 (2013). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 78A45 78M15 74J20 65F08 65F10 78M30 76Q05 PDF BibTeX XML Cite \textit{X. Claeys} et al., Radon Ser. Comput. Appl. Math. 14, 51--100 (2013; Zbl 1291.78040) Full Text: DOI OpenURL
Claeys, Xavier; Hiptmair, Ralf Electromagnetic scattering at composite objects: a novel multi-trace boundary integral formulation. (English) Zbl 1277.78032 ESAIM, Math. Model. Numer. Anal. 46, No. 6, 1421-1445 (2012). Reviewer: Jong Hyuk Park (Ulsan) MSC: 78M15 78A45 35Q61 PDF BibTeX XML Cite \textit{X. Claeys} and \textit{R. Hiptmair}, ESAIM, Math. Model. Numer. Anal. 46, No. 6, 1421--1445 (2012; Zbl 1277.78032) Full Text: DOI OpenURL
Bespalov, A.; Heuer, N.; Hiptmair, R. Convergence of the natural \(hp\)-BEM for the electric field integral equation on polyhedral surfaces. (English) Zbl 1223.65083 SIAM J. Numer. Anal. 48, No. 4, 1518-1529 (2010). Reviewer: Marius Ghergu (Dublin) MSC: 65N12 65N38 35J05 78A25 78M15 PDF BibTeX XML Cite \textit{A. Bespalov} et al., SIAM J. Numer. Anal. 48, No. 4, 1518--1529 (2010; Zbl 1223.65083) Full Text: DOI arXiv Link OpenURL
Hiptmair, Ralf; Zheng, Weiying Local multigrid in \(\boldsymbol{H} (\mathbf{curl})\). (English) Zbl 1212.65486 J. Comput. Math. 27, No. 5, 573-603 (2009). MSC: 65N55 65N30 78M10 35J05 35Q60 78A25 65N50 65N12 PDF BibTeX XML Cite \textit{R. Hiptmair} and \textit{W. Zheng}, J. Comput. Math. 27, No. 5, 573--603 (2009; Zbl 1212.65486) Full Text: DOI arXiv OpenURL
Hiptmair, R.; Meury, P. Stabilized FEM-BEM coupling for Maxwell transmission problems. (English) Zbl 1144.78026 Ammari, Habib (ed.), Modeling and computations in electromagnetics. A volume dedicated to Jean-Claude Nédélec. Berlin: Springer (ISBN 978-3-540-73777-3/pbk). Lecture Notes in Computational Science and Engineering 59, 1-38 (2008). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 78M10 78A45 65N30 65N38 35Q60 PDF BibTeX XML Cite \textit{R. Hiptmair} and \textit{P. Meury}, Lect. Notes Comput. Sci. Eng. 59, 1--38 (2008; Zbl 1144.78026) OpenURL
Hiptmair, Ralf (ed.); Hoppe, Ronald H. W. (ed.); Joly, Patrick (ed.); Langer, Ulrich (ed.) Computational electromagnetism and acoustics. Abstracts from the workshop held February 4–10, 2007. (English) Zbl 1177.78002 Oberwolfach Rep. 4, No. 1, 273-370 (2007). MSC: 78-06 78A25 76Mxx 76Q05 65-06 00B05 PDF BibTeX XML Cite \textit{R. Hiptmair} (ed.) et al., Oberwolfach Rep. 4, No. 1, 273--370 (2007; Zbl 1177.78002) Full Text: DOI Link OpenURL
Buffa, A.; Hiptmair, R. A coercive combined field integral equation for electromagnetic scattering. (English) Zbl 1082.78003 SIAM J. Numer. Anal. 42, No. 2, 621-640 (2004). Reviewer: Ömer Kavaklioglu (Izmir) MSC: 78A45 78M15 65N30 65N38 65N50 65R20 PDF BibTeX XML Cite \textit{A. Buffa} and \textit{R. Hiptmair}, SIAM J. Numer. Anal. 42, No. 2, 621--640 (2004; Zbl 1082.78003) Full Text: DOI OpenURL
Alonso Rodríguez, Ana; Hiptmair, Ralf; Valli, Alberto Mixed finite element approximation of eddy current problems. (English) Zbl 1114.78012 IMA J. Numer. Anal. 24, No. 2, 255-271 (2004). MSC: 78M10 78A25 65M60 PDF BibTeX XML Cite \textit{A. Alonso Rodríguez} et al., IMA J. Numer. Anal. 24, No. 2, 255--271 (2004; Zbl 1114.78012) Full Text: DOI Link OpenURL
Hiptmair, Ralf From E to edge elements. (English) Zbl 1115.78002 Alt, Walter (ed.) et al., Berichte des IZWR 1, 2003. Jena: Friedrich Schiller Universität. Jenaer Schriften zur Mathematik und Informatik 2003, 6, 39-47 (2003). Reviewer: Temuri A. Jangveladze (Tbilisi) MSC: 78A25 PDF BibTeX XML Cite \textit{R. Hiptmair}, Jena. Schr. Math. Inform. 2003, 39--47 (2003; Zbl 1115.78002) OpenURL
Buffa, Annalisa; Hiptmair, Ralf Galerkin boundary element methods for electromagnetic scattering. (English) Zbl 1055.78013 Ainsworth, Mark (ed.) et al., Topics in computational wave propagation. Direct and inverse problems. Berlin: Springer (ISBN 3-540-00744-X/pbk). Lect. Notes Comput. Sci. Eng. 31, 83-124 (2003). Reviewer: Dmitry Shepelsky (Kharkov) MSC: 78M15 65N30 65N38 78A45 PDF BibTeX XML Cite \textit{A. Buffa} and \textit{R. Hiptmair}, Lect. Notes Comput. Sci. Eng. 31, 83--124 (2003; Zbl 1055.78013) OpenURL
Hiptmair, R.; Schädle, A. Non-reflecting boundary conditions for Maxwell’s equations. (English) Zbl 1042.78010 Computing 71, No. 3, 265-292 (2003). Reviewer: Johannes Elschner (Berlin) MSC: 78A50 65N06 65R99 44A10 44A35 PDF BibTeX XML Cite \textit{R. Hiptmair} and \textit{A. Schädle}, Computing 71, No. 3, 265--292 (2003; Zbl 1042.78010) Full Text: DOI Link OpenURL
Hiptmair, R. Coupling of finite elements and boundary elements in electromagnetic scattering. (English) Zbl 1049.78021 SIAM J. Numer. Anal. 41, No. 3, 919-944 (2003). Reviewer: Johannes Elschner (Berlin) MSC: 78M15 65N12 65N38 78A45 PDF BibTeX XML Cite \textit{R. Hiptmair}, SIAM J. Numer. Anal. 41, No. 3, 919--944 (2003; Zbl 1049.78021) Full Text: DOI OpenURL
Hiptmair, Ralf Boundary element methods for eddy current computation. (English) Zbl 1031.65136 Carstensen, Carsten (ed.) et al., Computational electromagnetics. Proceedings of the GAMM workshop on computational electromagnetics, Kiel, Germany, January 26-28, 2001. Berlin: Springer. Lect. Notes Comput. Sci. Eng. 28, 103-126 (2003). MSC: 65N38 35Q60 78A25 78M15 PDF BibTeX XML Cite \textit{R. Hiptmair}, Lect. Notes Comput. Sci. Eng. 28, 103--126 (2003; Zbl 1031.65136) OpenURL
Hiptmair, R. Analysis of multilevel methods for eddy current problems. (English) Zbl 1018.78008 Math. Comput. 72, No. 243, 1281-1303 (2003). Reviewer: Wilhelm Heinrichs (Essen) MSC: 78M25 65N30 35Q60 65N55 78A25 PDF BibTeX XML Cite \textit{R. Hiptmair}, Math. Comput. 72, No. 243, 1281--1303 (2003; Zbl 1018.78008) Full Text: DOI OpenURL
Hiptmair, R.; Neymeyr, K. Multilevel method for mixed eigenproblems. (English) Zbl 1013.65120 SIAM J. Sci. Comput. 23, No. 6, 2141-2164 (2002). Reviewer: Laura-Iulia Aniţa (Iaşi) MSC: 65N25 65F15 35P15 65F35 65N30 35Q60 78M10 78A40 PDF BibTeX XML Cite \textit{R. Hiptmair} and \textit{K. Neymeyr}, SIAM J. Sci. Comput. 23, No. 6, 2141--2164 (2002; Zbl 1013.65120) Full Text: DOI OpenURL
Börm, S.; Hiptmair, R. Multigrid computation of axisymmetric electromagnetic fields. (English) Zbl 0998.65124 Adv. Comput. Math. 16, No. 4, 331-356 (2002). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65N55 78A25 78M10 65N30 65N12 35Q60 PDF BibTeX XML Cite \textit{S. Börm} and \textit{R. Hiptmair}, Adv. Comput. Math. 16, No. 4, 331--356 (2002; Zbl 0998.65124) Full Text: DOI OpenURL
Beck, R.; Hiptmair, R.; Wohlmuth, B. Hierarchical error estimator for eddy current computation. (English) Zbl 0970.78006 Neittaanmäki, Pekka (ed.) et al., ENUMATH 99. Numerical mathematics and advanced applications. Proceedings of the 3rd European conference, Jyväskylä, Finland, July 26-30, 1999. Singapore: World Scientific. 110-120 (2000). MSC: 78M10 78A30 65N15 65N30 PDF BibTeX XML Cite \textit{R. Beck} et al., in: ENUMATH 99. Numerical mathematics and advanced applications. Proceedings of the 3rd European conference, Jyväskylä, Finland, July 26--30, 1999. Singapore: World Scientific. 110--120 (2000; Zbl 0970.78006) OpenURL
Beck, Rudi; Hiptmair, Ralf; Hoppe, Ronald H. W.; Wohlmuth, Barbara Residual based a posteriori error estimators for eddy current computation. (English) Zbl 0949.65113 M2AN, Math. Model. Numer. Anal. 34, No. 1, 159-182 (2000). Reviewer: Michael Sever (Jerusalem) MSC: 65N15 65N30 78A55 78M10 65N50 35Q60 PDF BibTeX XML Cite \textit{R. Beck} et al., M2AN, Math. Model. Numer. Anal. 34, No. 1, 159--182 (2000; Zbl 0949.65113) Full Text: DOI EuDML Link OpenURL
Hiptmair, R. Multilevel gauging for edge elements. (English) Zbl 0955.65087 Computing 64, No. 2, 97-122 (2000). Reviewer: Pavel Burda (Praha) MSC: 65N30 35Q60 65N55 78A30 78M10 PDF BibTeX XML Cite \textit{R. Hiptmair}, Computing 64, No. 2, 97--122 (2000; Zbl 0955.65087) Full Text: DOI OpenURL
Gradinaru, V.; Hiptmair, R. Whitney elements on pyramids. (English) Zbl 0970.65120 ETNA, Electron. Trans. Numer. Anal. 8, 154-168 (1999). Reviewer: Michel Bernadou (Paris La Defense) MSC: 65N15 65N30 78M10 78A25 35Q60 65D05 PDF BibTeX XML Cite \textit{V. Gradinaru} and \textit{R. Hiptmair}, ETNA, Electron. Trans. Numer. Anal. 8, 154--168 (1999; Zbl 0970.65120) Full Text: EuDML EMIS OpenURL
Beck, Rudolf; Deuflhard, Peter; Hiptmair, Ralf; Hoppe, Ronald H. W.; Wohlmuth, Barbara Adaptive multilevel methods for edge element discretizations of Maxwell’s equations. (English) Zbl 0939.65136 Surv. Math. Ind. 8, No. 3-4, 271-312 (1999). Reviewer: S.F.McCormick (Boulder) MSC: 65N55 65N30 35Q60 78A25 78M10 65N15 78A50 PDF BibTeX XML Cite \textit{R. Beck} et al., Surv. Math. Ind. 8, No. 3--4, 271--312 (1999; Zbl 0939.65136) OpenURL
Beck, Rudolf; Hiptmair, Ralf Multilevel solution of the time-harmonic Maxwell’s equations based on edge elements. (English) Zbl 0930.35167 Int. J. Numer. Methods Eng. 45, No. 7, 901-920 (1999). MSC: 35Q60 78M10 78A45 65N30 PDF BibTeX XML Cite \textit{R. Beck} and \textit{R. Hiptmair}, Int. J. Numer. Methods Eng. 45, No. 7, 901--920 (1999; Zbl 0930.35167) Full Text: DOI OpenURL
Hiptmair, R. Multigrid method for Maxwell’s equations. (English) Zbl 0922.65081 SIAM J. Numer. Anal. 36, No. 1, 204-225 (1998). Reviewer: W.Heinrichs (Essen) MSC: 65Z05 65M60 35Q60 65M55 65M12 78A25 PDF BibTeX XML Cite \textit{R. Hiptmair}, SIAM J. Numer. Anal. 36, No. 1, 204--225 (1998; Zbl 0922.65081) Full Text: DOI OpenURL
Hiptmair, Ralf Multilevel preconditioning for mixed problems in three dimensions. (English) Zbl 0851.65089 Augsburger Mathematisch-Naturwissenschaftliche Schriften. 8. Augsburg: Wißner. xiii, 136 p. (1996). Reviewer: S.F.McCormick (Boulder) MSC: 65N55 65-02 65F35 35Q60 35J25 65F10 65N30 78A25 PDF BibTeX XML Cite \textit{R. Hiptmair}, Multilevel preconditioning for mixed problems in three dimensions. Augsburg: Wißner (1996; Zbl 0851.65089) OpenURL
Hiptmair, R.; Hoppe, R. H. W.; Wohlmuth, B. Coupling problems in microelectronic device simulation. (English) Zbl 0868.65086 Hackbusch, Wolfgang (ed.) et al., Numerical treatment of coupled systems. Proceedings of the 11th GAMM-Seminar, Kiel, Germany, January 20-22, 1995. Wiesbaden: Vieweg. Notes Numer. Fluid Mech. 51, 86-95 (1995). MSC: 65Z05 35J65 35Q60 78A55 65N30 65N55 PDF BibTeX XML Cite \textit{R. Hiptmair} et al., in: Numerical treatment of coupled systems. Proceedings of the 11th GAMM-Seminar, Kiel, Germany, January 20-22, 1995. Wiesbaden: Vieweg. 86--95 (1995; Zbl 0868.65086) OpenURL
Hiptmair, R.; Hoppe, R. H. W. Mixed finite element discretization of continuity equations arising in semiconductor device simulation. (English) Zbl 0805.65124 Bank, R. E. (ed.) et al., Mathematical modelling and simulation of electrical circuits and semiconductor devices. Proceedings of a conference held at the Mathematisches Forschungsinstitut, Oberwolfach, Germany, July 5-11, 1992. Basel: Birkhäuser Verlag. ISNM, Int. Ser. Numer. Math. 117, 197-217 (1994). MSC: 65Z05 65N30 78A55 35Q60 PDF BibTeX XML Cite \textit{R. Hiptmair} and \textit{R. H. W. Hoppe}, ISNM, Int. Ser. Numer. Math. 117, 197--217 (1994; Zbl 0805.65124) OpenURL