Boureghda, Abdelouahab; Choutri, Abdelaziz; Rezgui, Hayat On domain error truncation in a problem of guided modes computation in optical fibers. (English) Zbl 07488635 Mediterr. J. Math. 19, No. 2, Paper No. 79, 22 p. (2022). MSC: 35Qxx 35P15 35P30 65N15 65N30 78A50 PDF BibTeX XML Cite \textit{A. Boureghda} et al., Mediterr. J. Math. 19, No. 2, Paper No. 79, 22 p. (2022; Zbl 07488635) Full Text: DOI OpenURL
Roddick, Greg Computation of scattering matrices and their derivatives for waveguides. (English) Zbl 1465.35324 J. Comput. Appl. Math. 396, Article ID 113453, 24 p. (2021). MSC: 35P25 35J25 35B34 78A50 PDF BibTeX XML Cite \textit{G. Roddick}, J. Comput. Appl. Math. 396, Article ID 113453, 24 p. (2021; Zbl 1465.35324) Full Text: DOI arXiv OpenURL
Georg, Niklas; Ackermann, Wolfgang; Corno, Jacopo; Schöps, Sebastian Uncertainty quantification for Maxwell’s eigenproblem based on isogeometric analysis and mode tracking. (English) Zbl 1441.78003 Comput. Methods Appl. Mech. Eng. 350, 228-244 (2019). MSC: 78A25 78M10 65D07 65N25 65N30 PDF BibTeX XML Cite \textit{N. Georg} et al., Comput. Methods Appl. Mech. Eng. 350, 228--244 (2019; Zbl 1441.78003) Full Text: DOI arXiv OpenURL
Lackner, C.; Meng, S.; Monk, P. Determination of electromagnetic Bloch variety in a medium with frequency-dependent coefficients. (English) Zbl 1428.78030 J. Comput. Appl. Math. 358, 359-373 (2019). Reviewer: Eric Stachura (Marietta) MSC: 78M10 78M30 78A60 65N30 65N25 65F15 PDF BibTeX XML Cite \textit{C. Lackner} et al., J. Comput. Appl. Math. 358, 359--373 (2019; Zbl 1428.78030) Full Text: DOI arXiv OpenURL
Adam, Lukáš; Hintermüller, Michael; Peschka, Dirk; Surowiec, Thomas M. Optimization of a multiphysics problem in semiconductor laser design. (English) Zbl 1412.35110 SIAM J. Appl. Math. 79, No. 1, 257-283 (2019). Reviewer: Dian K. Palagachev (Bari) MSC: 35J60 74S05 35Q93 49Q10 90C90 90C06 78A60 PDF BibTeX XML Cite \textit{L. Adam} et al., SIAM J. Appl. Math. 79, No. 1, 257--283 (2019; Zbl 1412.35110) Full Text: DOI OpenURL
Zdunek, Adam; Rachowicz, Waldemar Inhomogeneous lossy waveguide mode analysis. (English) Zbl 1409.78005 Comput. Math. Appl. 75, No. 3, 798-808 (2018). MSC: 78A50 78M10 65N25 65N30 PDF BibTeX XML Cite \textit{A. Zdunek} and \textit{W. Rachowicz}, Comput. Math. Appl. 75, No. 3, 798--808 (2018; Zbl 1409.78005) Full Text: DOI OpenURL
de Buhan, M.; Darbas, Marion Numerical resolution of an electromagnetic inverse medium problem at fixed frequency. (English) Zbl 1397.65242 Comput. Math. Appl. 74, No. 12, 3111-3128 (2017). MSC: 65N21 78M25 35R30 78M50 65K10 78A25 93B30 93B60 PDF BibTeX XML Cite \textit{M. de~Buhan} and \textit{M. Darbas}, Comput. Math. Appl. 74, No. 12, 3111--3128 (2017; Zbl 1397.65242) Full Text: DOI HAL OpenURL
Li, J.; Kath, W. L. A path-based method for simulating large deviations and rare events in nonlinear lightwave systems. (English) Zbl 1358.35179 Stud. Appl. Math. 137, No. 2, 159-173 (2016). Reviewer: Dimitar A. Kolev (Sofia) MSC: 35Q60 78A60 60F10 35Q55 78M50 PDF BibTeX XML Cite \textit{J. Li} and \textit{W. L. Kath}, Stud. Appl. Math. 137, No. 2, 159--173 (2016; Zbl 1358.35179) Full Text: DOI OpenURL
Huang, Tsung-Ming; Lin, Wen-Wei; Mehrmann, Volker A Newton-type method with nonequivalence deflation for nonlinear eigenvalue problems arising in photonic crystal modeling. (English) Zbl 1380.65354 SIAM J. Sci. Comput. 38, No. 2, B191-B218 (2016). MSC: 65N25 65F15 78A40 15A18 PDF BibTeX XML Cite \textit{T.-M. Huang} et al., SIAM J. Sci. Comput. 38, No. 2, B191--B218 (2016; Zbl 1380.65354) Full Text: DOI Link OpenURL
Du, Kui; Li, Buyang; Sun, Weiwei A numerical study on the stability of a class of Helmholtz problems. (English) Zbl 1351.78038 J. Comput. Phys. 287, 46-59 (2015). MSC: 78M10 65N30 65N12 78A25 PDF BibTeX XML Cite \textit{K. Du} et al., J. Comput. Phys. 287, 46--59 (2015; Zbl 1351.78038) Full Text: DOI OpenURL
Semenikhin, Igor; Zanuccoli, Mauro Application of the iterative approach to modal methods for the solution of Maxwell’s equations. (English) Zbl 1349.78024 J. Comput. Phys. 300, 438-454 (2015). MSC: 78A25 78M25 35Q61 65F15 PDF BibTeX XML Cite \textit{I. Semenikhin} and \textit{M. Zanuccoli}, J. Comput. Phys. 300, 438--454 (2015; Zbl 1349.78024) Full Text: DOI arXiv OpenURL
Giani, Stefano An \(hp\)-adaptive discontinuous Galerkin method for plasmonic waveguides. (A \(hp\)-adaptive discontinuous Galerkin method for plasmonic waveguides.) (English) Zbl 1331.78026 J. Comput. Appl. Math. 270, 12-20 (2014). Reviewer: Georg Hebermehl (Berlin) MSC: 78M10 65N15 65N30 65N50 78A50 78A60 81V80 82D80 PDF BibTeX XML Cite \textit{S. Giani}, J. Comput. Appl. Math. 270, 12--20 (2014; Zbl 1331.78026) Full Text: DOI OpenURL
Engström, Christian Spectral approximation of quadratic operator polynomials arising in photonic band structure calculations. (English) Zbl 1366.78024 Numer. Math. 126, No. 3, 413-440 (2014). Reviewer: Jun Zou (Hong Kong) MSC: 78M22 78M10 78A50 35B10 35Q60 65N12 78M30 47A58 PDF BibTeX XML Cite \textit{C. Engström}, Numer. Math. 126, No. 3, 413--440 (2014; Zbl 1366.78024) Full Text: DOI OpenURL
Baumgartner, Oskar; Stanojević, Zlatan; Kosina, Hans Monte Carlo simulation of electron transport in quantum cascade lasers. (English) Zbl 1320.65006 Sabelfeld, Karl K. (ed.) et al., Monte Carlo methods and applications. Proceedings of the 8th IMACS seminar on Monte Carlo methods, August 29 – September 2, 2011, Borovets, Bulgaria. Berlin: de Gruyter (ISBN 978-3-11-029347-0/hbk; 978-3-11-029358-6/ebook). De Gruyter Proceedings in Mathematics, 59-67 (2013). MSC: 65C05 78M25 78A35 PDF BibTeX XML Cite \textit{O. Baumgartner} et al., in: Monte Carlo methods and applications. Proceedings of the 8th IMACS seminar on Monte Carlo methods, August 29 -- September 2, 2011, Borovets, Bulgaria. Berlin: de Gruyter. 59--67 (2013; Zbl 1320.65006) OpenURL
Giani, Stefano An a posteriori error estimator for \(hp\)-adaptive continuous Galerkin methods for photonic crystal applications. (English) Zbl 1311.78015 Computing 95, No. 5, 395-414 (2013). MSC: 78A60 65N25 65N30 65N50 65N15 78A40 78A50 PDF BibTeX XML Cite \textit{S. Giani}, Computing 95, No. 5, 395--414 (2013; Zbl 1311.78015) Full Text: DOI OpenURL
Marchesini, Stefano; Schirotzek, Andre; Yang, Chao; Wu, Hau-Tieng; Maia, Filipe Augmented projections for ptychographic imaging. (English) Zbl 1320.94014 Inverse Probl. 29, No. 11, Article ID 115009, 23 p. (2013). MSC: 94A08 92C55 65K10 78A35 PDF BibTeX XML Cite \textit{S. Marchesini} et al., Inverse Probl. 29, No. 11, Article ID 115009, 23 p. (2013; Zbl 1320.94014) Full Text: DOI arXiv OpenURL
Giani, Stefano An a posteriori error estimator for \(hp\)-adaptive discontinuous Galerkin methods for computing band gaps in photonic crystals. (English) Zbl 1252.82107 J. Comput. Appl. Math. 236, No. 18, 4810-4826 (2012). MSC: 82D25 78A60 82B20 35P15 65N30 65N25 65N15 PDF BibTeX XML Cite \textit{S. Giani}, J. Comput. Appl. Math. 236, No. 18, 4810--4826 (2012; Zbl 1252.82107) Full Text: DOI OpenURL
Shin, Wonseok; Fan, Shanhui Choice of the perfectly matched layer boundary condition for frequency-domain Maxwell’s equations solvers. (English) Zbl 1242.78035 J. Comput. Phys. 231, No. 8, 3406-3431 (2012). MSC: 78M20 78M10 65F08 65F15 78A50 65F10 35Q61 PDF BibTeX XML Cite \textit{W. Shin} and \textit{S. Fan}, J. Comput. Phys. 231, No. 8, 3406--3431 (2012; Zbl 1242.78035) Full Text: DOI OpenURL
Giani, S.; Graham, I. G. Adaptive finite element methods for computing band gaps in photonic crystals. (English) Zbl 1241.82077 Numer. Math. 121, No. 1, 31-64 (2012). MSC: 82D25 82-08 78A25 78M10 35Q61 78A60 65N30 65N25 PDF BibTeX XML Cite \textit{S. Giani} and \textit{I. G. Graham}, Numer. Math. 121, No. 1, 31--64 (2012; Zbl 1241.82077) Full Text: DOI Link OpenURL
Guermond, J.-L.; Léorat, J.; Luddens, F.; Nore, C.; Ribeiro, A. Effects of discontinuous magnetic permeability on magnetodynamic problems. (English) Zbl 1220.78013 J. Comput. Phys. 230, No. 16, 6299-6319 (2011). MSC: 78A25 78M10 78M20 76W05 65N30 PDF BibTeX XML Cite \textit{J. L. Guermond} et al., J. Comput. Phys. 230, No. 16, 6299--6319 (2011; Zbl 1220.78013) Full Text: DOI OpenURL
Du, Kui GMRES with adaptively deflated restarting and its performance on an electromagnetic cavity problem. (English) Zbl 1227.65032 Appl. Numer. Math. 61, No. 9, 977-988 (2011). Reviewer: R. Militaru (Craiova) MSC: 65F10 78A45 PDF BibTeX XML Cite \textit{K. Du}, Appl. Numer. Math. 61, No. 9, 977--988 (2011; Zbl 1227.65032) Full Text: DOI OpenURL
Brandsmeier, Holger; Schmidt, Kersten; Schwab, Christoph A multiscale \(hp\)-FEM for 2D photonic crystal bands. (English) Zbl 1207.82050 J. Comput. Phys. 230, No. 2, 349-374 (2011). MSC: 82D25 35J05 82-08 65N30 78A60 PDF BibTeX XML Cite \textit{H. Brandsmeier} et al., J. Comput. Phys. 230, No. 2, 349--374 (2011; Zbl 1207.82050) Full Text: DOI OpenURL
Jakobsson, Stefan; Andersson, Björn; Edelvik, Fredrik Rational radial basis function interpolation with applications to antenna design. (English) Zbl 1178.65009 J. Comput. Appl. Math. 233, No. 4, 889-904 (2009). Reviewer: Martin D. Buhmann (Gießen) MSC: 65D05 41A05 41A20 78A50 PDF BibTeX XML Cite \textit{S. Jakobsson} et al., J. Comput. Appl. Math. 233, No. 4, 889--904 (2009; Zbl 1178.65009) Full Text: DOI OpenURL
d’Aquino, Massimiliano; Serpico, Claudio; Miano, Giovanni; Forestiere, Carlo A novel formulation for the numerical computation of magnetization modes in complex micromagnetic systems. (English) Zbl 1184.78006 J. Comput. Phys. 228, No. 17, 6130-6149 (2009). Reviewer: Johannes Elschner (Berlin) MSC: 78A25 78M20 78M10 65N25 PDF BibTeX XML Cite \textit{M. d'Aquino} et al., J. Comput. Phys. 228, No. 17, 6130--6149 (2009; Zbl 1184.78006) Full Text: DOI OpenURL
Arbenz, Peter; Chinellato, Oscar On solving complex-symmetric eigenvalue problems arising in the design of axisymmetric VCSEL devices. (English) Zbl 1136.65040 Appl. Numer. Math. 58, No. 4, 381-394 (2008). MSC: 65F15 82D37 78A60 35Q60 65N30 65F35 PDF BibTeX XML Cite \textit{P. Arbenz} and \textit{O. Chinellato}, Appl. Numer. Math. 58, No. 4, 381--394 (2008; Zbl 1136.65040) Full Text: DOI OpenURL
Borcea, Liliana; Papanicolaou, George; Guevara Vasquez, Fernando Edge illumination and imaging of extended reflectors. (English) Zbl 1132.35496 SIAM J. Imaging Sci. 1, No. 1, 75-114 (2008). MSC: 35R30 78A46 PDF BibTeX XML Cite \textit{L. Borcea} et al., SIAM J. Imaging Sci. 1, No. 1, 75--114 (2008; Zbl 1132.35496) Full Text: DOI OpenURL
Demkowicz, Leszek F.; Kurtz, Jason; Pardo, David; Paszyński, Maciej; Rachowicz, Waldemar; Zdunek, Adam Computing with \(hp\)-adaptive finite elements. Vol. II: Frontiers: Three-dimensional elliptic and Maxwell problems with applications. (English) Zbl 1148.65001 Chapman & Hall/CRC Applied Mathematics and Nonlinear Science Series. Boca Raton, FL: Chapman & Hall/CRC (ISBN 978-1-58488-672-3/hbk; 978-1-4200-1169-2/ebook). xv, 417 p. (2008). Reviewer: Georg Hebermehl (Berlin) MSC: 65-02 65N30 65N12 65N15 65N22 65N50 65Y05 78M10 74S05 76M10 78A46 PDF BibTeX XML Cite \textit{L. F. Demkowicz} et al., Computing with \(hp\)-adaptive finite elements. Vol. II: Frontiers: Three-dimensional elliptic and Maxwell problems with applications. Boca Raton, FL: Chapman \& Hall/CRC (2008; Zbl 1148.65001) Full Text: DOI OpenURL
Carpentieri, B.; Giraud, L.; Gratton, S. Additive and multiplicative two-level spectral preconditioning for general linear systems. (English) Zbl 1145.65023 SIAM J. Sci. Comput. 29, No. 4, 1593-1612 (2007). MSC: 65F10 65F35 78A45 65N55 82D37 65F50 PDF BibTeX XML Cite \textit{B. Carpentieri} et al., SIAM J. Sci. Comput. 29, No. 4, 1593--1612 (2007; Zbl 1145.65023) Full Text: DOI Link OpenURL
Rálek, Petr FEM modelling of resonant frequencies of in-plane parallel piezoelectric resonator. (English) Zbl 1137.78344 Boyanov, Todor (ed.) et al., Numerical methods and applications. 6th international conference, NMA 2006, Borovets, Bulgaria, August 20–24, 2006. Revised papers. Berlin: Springer (ISBN 978-3-540-70940-4/pbk). Lecture Notes in Computer Science 4310, 693-700 (2007). MSC: 78M10 78A25 65F15 PDF BibTeX XML Cite \textit{P. Rálek}, Lect. Notes Comput. Sci. 4310, 693--700 (2007; Zbl 1137.78344) Full Text: DOI OpenURL
White, Daniel A.; Koning, Joseph M.; Rieben, Robert N. Development and application of compatible discretizations of Maxwell’s equations. (English) Zbl 1135.78011 Arnold, Douglas N. (ed.) et al., Compatible spatial discretizations. Papers presented at IMA hot topics workshop: compatible spatial discretizations for partial differential equations, Minneapolis, MN, USA, May 11–15, 2004. New York, NY: Springer (ISBN 0-387-30916-0/hbk). The IMA Volumes in Mathematics and its Applications 142, 209-234 (2006). MSC: 78M10 78A40 PDF BibTeX XML Cite \textit{D. A. White} et al., IMA Vol. Math. Appl. 142, 209--234 (2006; Zbl 1135.78011) OpenURL
Duff, I. S.; Giraud, L.; Langou, J.; Martin, E. Using spectral low rank preconditioners for large electromagnetic calculations. (English) Zbl 1082.78012 Int. J. Numer. Methods Eng. 62, No. 3, 416-434 (2005). MSC: 78M25 78A46 65F10 65F15 65Y05 PDF BibTeX XML Cite \textit{I. S. Duff} et al., Int. J. Numer. Methods Eng. 62, No. 3, 416--434 (2005; Zbl 1082.78012) Full Text: DOI Link OpenURL
Barucq, Hélène; Bekkey, Chokri; Djellouli, Rabia Construction of local boundary conditions for an eigenvalue problem using micro-local analysis: application to optical waveguide problems. (English) Zbl 1040.78010 J. Comput. Phys. 193, No. 2, 666-696 (2004). MSC: 78A50 35A27 35J25 65N15 PDF BibTeX XML Cite \textit{H. Barucq} et al., J. Comput. Phys. 193, No. 2, 666--696 (2004; Zbl 1040.78010) Full Text: DOI OpenURL
Carpentieri, B.; Duff, I. S.; Giraud, L. A class of spectral two-level preconditioners. (English) Zbl 1048.65043 SIAM J. Sci. Comput. 25, No. 2, 749-765 (2003). Reviewer: Michael Jung (Dresden) MSC: 65F35 65F50 65F10 78A55 65N38 PDF BibTeX XML Cite \textit{B. Carpentieri} et al., SIAM J. Sci. Comput. 25, No. 2, 749--765 (2003; Zbl 1048.65043) Full Text: DOI OpenURL
Vardapetyan, L.; Demkowicz, L.; Neikirk, D. \(hp\)-vector finite element method for eigenmode analysis of waveguides. (English) Zbl 1014.78012 Comput. Methods Appl. Mech. Eng. 192, No. 1-2, 185-201 (2003). MSC: 78M10 78A50 PDF BibTeX XML Cite \textit{L. Vardapetyan} et al., Comput. Methods Appl. Mech. Eng. 192, No. 1--2, 185--201 (2003; Zbl 1014.78012) Full Text: DOI OpenURL
Arbenz, Peter; Geus, Roman Parallel solvers for large eigenvalue problems originating from Maxwell’s equations. (English) Zbl 0928.65054 Pritchard, David (ed.) et al., Euro-Par ’98 parallel processing. 4th international Euro-Par conference, Southampton, GB, September 1–4, 1998. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 1470, 771-779 (1998). MSC: 65F15 65F50 65Y05 78A40 PDF BibTeX XML Cite \textit{P. Arbenz} and \textit{R. Geus}, Lect. Notes Comput. Sci. 1470, 771--779 (1998; Zbl 0928.65054) OpenURL
Hebermehl, Georg; Schlundt, Rainer; Zscheile, Horst; Heinrich, Wolfgang Eigen mode solver for microwave transmission lines. (English) Zbl 0876.65081 COMPEL 16, No. 2, 108-122 (1997). MSC: 65Z05 35Q60 78A55 65N25 65F15 PDF BibTeX XML Cite \textit{G. Hebermehl} et al., COMPEL 16, No. 2, 108--122 (1997; Zbl 0876.65081) Full Text: DOI Link OpenURL