Henneking, Stefan; Grosek, Jacob; Demkowicz, Leszek Model and computational advancements to full vectorial Maxwell model for studying fiber amplifiers. (English) Zbl 07327225 Comput. Math. Appl. 85, 30-41 (2021). MSC: 65N30 65N12 35J05 78A25 76Q05 PDF BibTeX XML Cite \textit{S. Henneking} et al., Comput. Math. Appl. 85, 30--41 (2021; Zbl 07327225) Full Text: DOI arXiv OpenURL
Vaziri Astaneh, Ali; Keith, Brendan; Demkowicz, Leszek On perfectly matched layers for discontinuous Petrov-Galerkin methods. (English) Zbl 1469.74131 Comput. Mech. 63, No. 6, 1131-1145 (2019). MSC: 74S99 74J10 76Q05 78A40 PDF BibTeX XML Cite \textit{A. Vaziri Astaneh} et al., Comput. Mech. 63, No. 6, 1131--1145 (2019; Zbl 1469.74131) Full Text: DOI arXiv OpenURL
Carstensen, C.; Demkowicz, L.; Gopalakrishnan, J. Breaking spaces and forms for the DPG method and applications including Maxwell equations. (English) Zbl 1359.65249 Comput. Math. Appl. 72, No. 3, 494-522 (2016). MSC: 65N30 65N12 78A25 78M10 PDF BibTeX XML Cite \textit{C. Carstensen} et al., Comput. Math. Appl. 72, No. 3, 494--522 (2016; Zbl 1359.65249) Full Text: DOI arXiv OpenURL
Weggler, Lucy; Demkowicz, Leszek Variational formulations for transmission problems of the electromagnetic field. (English) Zbl 1321.78004 Appl. Anal. 94, No. 5, 932-956 (2015). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 78A25 35Q61 78M30 PDF BibTeX XML Cite \textit{L. Weggler} and \textit{L. Demkowicz}, Appl. Anal. 94, No. 5, 932--956 (2015; Zbl 1321.78004) Full Text: DOI OpenURL
Demkowicz, L.; Li, Jichun Numerical simulations of cloaking problems using a DPG method. (English) Zbl 1311.78011 Comput. Mech. 51, No. 5, 661-672 (2013). MSC: 78A46 78M10 65N30 PDF BibTeX XML Cite \textit{L. Demkowicz} and \textit{J. Li}, Comput. Mech. 51, No. 5, 661--672 (2013; Zbl 1311.78011) Full Text: DOI OpenURL
Pardo, D.; Demkowicz, L.; Torres-Verdín, C.; Michler, C. PML enhanced with a self-adaptive goal-oriented \(hp\)-finite element method: Simulation of through-casing borehole resistivity measurements. (English) Zbl 1185.78019 SIAM J. Sci. Comput. 30, No. 6, 2948-2964 (2008). Reviewer: Dmitry Shepelsky (Kharkov) MSC: 78M10 65M60 78A45 86A25 PDF BibTeX XML Cite \textit{D. Pardo} et al., SIAM J. Sci. Comput. 30, No. 6, 2948--2964 (2008; Zbl 1185.78019) 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
García-Castillo, Luis E.; Pardo, David; Gómez-Revuelto, Ignacio; Demkowicz, Leszek F. A two-dimensional self-adaptivehpfinite element method for the characterization of waveguide discontinuities. I: Energy-norm based automatichp-adaptivity. (English) Zbl 1173.78318 Comput. Methods Appl. Mech. Eng. 196, No. 49-52, 4823-4852 (2007). MSC: 78M10 78A50 PDF BibTeX XML Cite \textit{L. E. García-Castillo} et al., Comput. Methods Appl. Mech. Eng. 196, No. 49--52, 4823--4852 (2007; Zbl 1173.78318) Full Text: DOI OpenURL
Pardo, David; García-Castillo, Luis E.; Demkowicz, Leszek F.; Torres-Verdín, Carlos A two-dimensional self-adaptive \(hp\) finite element method for the characterization of waveguide discontinuities. II: Goal-oriented \(hp\)-adaptivity. (English) Zbl 1173.78321 Comput. Methods Appl. Mech. Eng. 196, No. 49-52, 4811-4822 (2007). MSC: 78M10 78A50 PDF BibTeX XML Cite \textit{D. Pardo} et al., Comput. Methods Appl. Mech. Eng. 196, No. 49--52, 4811--4822 (2007; Zbl 1173.78321) Full Text: DOI OpenURL
Demkowicz, L.; Kurtz, J. Projection-based interpolation and automatic hp-adaptivity for finite element discretizations of elliptic and Maxwell problems. (English) Zbl 1128.65096 ESAIM, Proc. 21, 1-15 (2007). MSC: 65N30 65N12 35J05 35Q60 78A45 78M10 76Q05 76M10 PDF BibTeX XML Cite \textit{L. Demkowicz} and \textit{J. Kurtz}, ESAIM, Proc. 21, 1--15 (2007; Zbl 1128.65096) Full Text: DOI OpenURL
Demkowicz, Leszek F. Computing with \(hp\)-adaptive finite elements. Vol. 1: One- and two-dimensional elliptic and Maxwell problems. With CD-ROM. (English) Zbl 1111.65103 Chapman & Hall/CRC Applied Mathematics and Nonlinear Science Series. Boca Raton, FL: Chapman & Hall/CRC (ISBN 1-58488-671-4/hbk; 978-1-4200-1168-5/ebook). xxv, 398 p. (2007). Reviewer: Georg Hebermehl (Berlin) MSC: 65N30 65-02 65N12 65N50 65N15 78M10 35J25 35Q60 78A25 65Y15 PDF BibTeX XML Cite \textit{L. F. Demkowicz}, Computing with \(hp\)-adaptive finite elements. Vol. 1: One- and two-dimensional elliptic and Maxwell problems. With CD-ROM. Boca Raton, FL: Chapman \& Hall/CRC (2007; Zbl 1111.65103) Full Text: DOI OpenURL
Boffi, Daniele; Costabel, Martin; Dauge, Monique; Demkowicz, Leszek Discrete compactness for the \(hp\) version of rectangular edge finite elements. (English) Zbl 1122.65110 SIAM J. Numer. Anal. 44, No. 3, 979-1004 (2006). Reviewer: Jan Lovíšek (Bratislava) MSC: 65N30 65N25 78M10 78A25 35Q60 65N12 PDF BibTeX XML Cite \textit{D. Boffi} et al., SIAM J. Numer. Anal. 44, No. 3, 979--1004 (2006; Zbl 1122.65110) Full Text: DOI OpenURL
Pardo, D.; Demkowicz, L.; Torres-Verdín, C.; Tabarovsky, L. A goal-oriented hp-adaptive finite element method with electromagnetic applications. I: Electrostatics. (English) Zbl 1118.78015 Int. J. Numer. Methods Eng. 65, No. 8, 1269-1309 (2006). Reviewer: Nina Shokina (Freiburg) MSC: 78M10 65N50 78A25 65N30 78A55 PDF BibTeX XML Cite \textit{D. Pardo} et al., Int. J. Numer. Methods Eng. 65, No. 8, 1269--1309 (2006; Zbl 1118.78015) Full Text: DOI OpenURL
Pardo, D.; Demkowicz, L.; Torres-Verdín, C.; Paszynski, M. Two-dimensional high-accuracy simulation of resistivity logging-while-drilling (LWD) measurement using a self-adaptive goal-oriented \(hp\)-finite element method. (English) Zbl 1116.78014 SIAM J. Appl. Math. 66, No. 6, 2085-2106 (2006). Reviewer: Nina Shokina (Stuttgart) MSC: 78A55 78A25 78M10 65N50 PDF BibTeX XML Cite \textit{D. Pardo} et al., SIAM J. Appl. Math. 66, No. 6, 2085--2106 (2006; Zbl 1116.78014) Full Text: DOI OpenURL
Paszyński, M.; Kurtz, J.; Demkowicz, L. Parallel, fully automatic \(hp\)-adaptive \(2d\) finite element package. (English) Zbl 1093.65113 Comput. Methods Appl. Mech. Eng. 195, No. 7-8, 711-741 (2006). MSC: 65N30 65N50 80A20 65Y05 78A45 78M10 80M10 35J05 PDF BibTeX XML Cite \textit{M. Paszyński} et al., Comput. Methods Appl. Mech. Eng. 195, No. 7--8, 711--741 (2006; Zbl 1093.65113) Full Text: DOI OpenURL
Paszyński, M.; Demkowicz, L.; Pardo, D. Verification of goal-oriented hp-adaptivity. (English) Zbl 1138.78314 Comput. Math. Appl. 50, No. 8-9, 1395-1404 (2005). MSC: 78A50 78M25 PDF BibTeX XML Cite \textit{M. Paszyński} et al., Comput. Math. Appl. 50, No. 8--9, 1395--1404 (2005; Zbl 1138.78314) Full Text: DOI OpenURL
Demkowicz, L. Fully automatic \(hp\)-adaptivity for Maxwell’s equations. (English) Zbl 1063.78019 Comput. Methods Appl. Mech. Eng. 194, No. 2-5, 605-624 (2005). MSC: 78M10 78A25 65N50 65N30 PDF BibTeX XML Cite \textit{L. Demkowicz}, Comput. Methods Appl. Mech. Eng. 194, No. 2--5, 605--624 (2005; Zbl 1063.78019) Full Text: DOI OpenURL
Šolín, P.; Demkowicz, L. Goal-oriented \(hp\)-adaptivity for elliptic problems. (English) Zbl 1044.65082 Comput. Methods Appl. Mech. Eng. 193, No. 6-8, 449-468 (2004). MSC: 65N30 35J05 35Q60 78A40 78A50 78M10 PDF BibTeX XML Cite \textit{P. Šolín} and \textit{L. Demkowicz}, Comput. Methods Appl. Mech. Eng. 193, No. 6--8, 449--468 (2004; Zbl 1044.65082) Full Text: DOI OpenURL
Demkowicz, L.; Babuska, I. \(p\) interpolation error estimates for edge finite elements of variable order in two dimensions. (English) Zbl 1067.78016 SIAM J. Numer. Anal. 41, No. 4, 1195-1208 (2003). Reviewer: Christian Daveau (Orsay) MSC: 78M10 65N30 35Q60 65N15 78A25 PDF BibTeX XML Cite \textit{L. Demkowicz} and \textit{I. Babuska}, SIAM J. Numer. Anal. 41, No. 4, 1195--1208 (2003; Zbl 1067.78016) 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
Vardapetyan, L.; Demkowicz, L. Full-wave analysis of dielectric waveguides at a given frequency. (English) Zbl 1009.78010 Math. Comput. 72, No. 241, 105-129 (2003). Reviewer: Ll.G.Chambers (Bangor) MSC: 78M25 78A50 65N30 65N12 PDF BibTeX XML Cite \textit{L. Vardapetyan} and \textit{L. Demkowicz}, Math. Comput. 72, No. 241, 105--129 (2003; Zbl 1009.78010) Full Text: DOI OpenURL
Rachowicz, W.; Demkowicz, L. An \(hp\)-adaptive finite element method for electromagnetics. II: A 3D implementation. (English) Zbl 0994.78012 Int. J. Numer. Methods Eng. 53, No. 1, 147-180 (2002). MSC: 78M10 78A25 65N12 PDF BibTeX XML Cite \textit{W. Rachowicz} and \textit{L. Demkowicz}, Int. J. Numer. Methods Eng. 53, No. 1, 147--180 (2002; Zbl 0994.78012) Full Text: DOI OpenURL
Cecot, W.; Demkowicz, L.; Rachowicz, W. A two-dimensional infinite element for Maxwell’s equations. (English) Zbl 0995.78039 Comput. Methods Appl. Mech. Eng. 188, No. 1-3, 625-643 (2000). MSC: 78M10 65N30 78A25 35Q60 PDF BibTeX XML Cite \textit{W. Cecot} et al., Comput. Methods Appl. Mech. Eng. 188, No. 1--3, 625--643 (2000; Zbl 0995.78039) Full Text: DOI OpenURL
Rachowicz, W.; Demkowicz, L. An \(hp\)-adaptive finite element method for electromagnetics. I: Data structure and constrained approximation. (English) Zbl 0979.78031 Comput. Methods Appl. Mech. Eng. 187, No. 1-2, 307-335 (2000). MSC: 78M10 65M30 78A25 35Q60 PDF BibTeX XML Cite \textit{W. Rachowicz} and \textit{L. Demkowicz}, Comput. Methods Appl. Mech. Eng. 187, No. 1--2, 307--335 (2000; Zbl 0979.78031) Full Text: DOI OpenURL
Vardapetyan, L.; Demkowicz, L. \(hp\)-adaptive finite elements in electromagnetics. (English) Zbl 0956.78013 Comput. Methods Appl. Mech. Eng. 169, No. 3-4, 331-344 (1999). MSC: 78M10 78A25 PDF BibTeX XML Cite \textit{L. Vardapetyan} and \textit{L. Demkowicz}, Comput. Methods Appl. Mech. Eng. 169, No. 3--4, 331--344 (1999; Zbl 0956.78013) Full Text: DOI OpenURL
Demkowicz, Leszek; Ihlenburg, Frank Proof of convergence for the coupled finite/infinite element methods for Helmholtz exterior boundary-value problems. (English) Zbl 0952.65087 Geers, Thomas L. (ed.), IUTAM symposium on computational methods for unbounded domains. Proceedings of the IUTAM symposium held in Boulder, CO, USA, July 27-31, 1997. Dordrecht: Kluwer Academic Publishers. Fluid Mech. Appl. 49, 83-93 (1998). MSC: 65N30 78A25 78M10 65N12 35J05 35Q60 PDF BibTeX XML Cite \textit{L. Demkowicz} and \textit{F. Ihlenburg}, Fluid Mech. Appl. 49, 83--93 (1998; Zbl 0952.65087) OpenURL
Demkowicz, L.; Vardapetyan, L. Modeling of electromagnetic absorption/scattering problems using \(hp\)-adaptive finite elements. (English) Zbl 0994.78011 Comput. Methods Appl. Mech. Eng. 152, No. 1-2, 103-124 (1998). MSC: 78M10 78A45 65N22 65N12 PDF BibTeX XML Cite \textit{L. Demkowicz} and \textit{L. Vardapetyan}, Comput. Methods Appl. Mech. Eng. 152, No. 1--2, 103--124 (1998; Zbl 0994.78011) Full Text: DOI OpenURL
Demkowicz, L. A modified FE assembling procedure with applications to electromagnetics, acoustics and \(hp\)-adaptivity. (English) Zbl 0870.65103 Whiteman, J. R. (ed.), The mathematics of finite elements and applications. Highlights 1996. Proceedings of the 9th conference, MAFELAP 1996, Uxbridge, GB, June 25–28, 1996, Chichester: Wiley. 93-102 (1997). MSC: 65N30 35Q60 78A25 35Q35 76Q05 PDF BibTeX XML Cite \textit{L. Demkowicz}, in: The mathematics of finite elements and applications. Highlights 1996. Proceedings of the 9th conference, MAFELAP 1996, Uxbridge, GB, June 25--28, 1996,. Chichester: Wiley. 93--102 (1997; Zbl 0870.65103) OpenURL