Demkowicz, Leszek F. Mathematical theory of finite elements. (English) Zbl 07810943 Computational Science & Engineering 28. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-1-61197-772-1/pbk; 978-1-61197-773-8/ebook). (2024). MSC: 65-01 65M60 65N30 PDFBibTeX XML Full Text: DOI
Badger, Jacob; Henneking, Stefan; Petrides, Socratis; Demkowicz, Leszek Scalable DPG multigrid solver for Helmholtz problems: a study on convergence. (English) Zbl 07750283 Comput. Math. Appl. 148, 81-92 (2023). MSC: 65N30 35J05 65N55 65F08 65F10 PDFBibTeX XMLCite \textit{J. Badger} et al., Comput. Math. Appl. 148, 81--92 (2023; Zbl 07750283) Full Text: DOI arXiv
Muñoz-Matute, Judit; Demkowicz, Leszek; Roberts, Nathan V. Combining DPG in space with DPG time-marching scheme for the transient advection-reaction equation. (English) Zbl 1507.65187 Comput. Methods Appl. Mech. Eng. 402, Article ID 115471, 24 p. (2022). MSC: 65M60 65L05 65M12 PDFBibTeX XMLCite \textit{J. Muñoz-Matute} et al., Comput. Methods Appl. Mech. Eng. 402, Article ID 115471, 24 p. (2022; Zbl 1507.65187) Full Text: DOI
Li, Jiaqi; Demkowicz, Leszek An \(L^p\)-DPG method with application to 2D convection-diffusion problems. (English) Zbl 1492.65319 Comput. Methods Appl. Math. 22, No. 3, 649-662 (2022). MSC: 65N30 PDFBibTeX XMLCite \textit{J. Li} and \textit{L. Demkowicz}, Comput. Methods Appl. Math. 22, No. 3, 649--662 (2022; Zbl 1492.65319) Full Text: DOI
Leng, Yu; Tian, Xiaochuan; Demkowicz, Leszek; Gomez, Hector; Foster, John T. A Petrov-Galerkin method for nonlocal convection-dominated diffusion problems. (English) Zbl 07517745 J. Comput. Phys. 452, Article ID 110919, 24 p. (2022). MSC: 65Nxx 65Mxx 76Mxx PDFBibTeX XMLCite \textit{Y. Leng} et al., J. Comput. Phys. 452, Article ID 110919, 24 p. (2022; Zbl 07517745) Full Text: DOI arXiv
Muñoz-Matute, Judit; Pardo, David; Demkowicz, Leszek Equivalence between the DPG method and the exponential integrators for linear parabolic problems. (English) Zbl 07500749 J. Comput. Phys. 429, Article ID 110016, 24 p. (2021). MSC: 65Mxx 65Nxx 65Lxx PDFBibTeX XMLCite \textit{J. Muñoz-Matute} et al., J. Comput. Phys. 429, Article ID 110016, 24 p. (2021; Zbl 07500749) Full Text: DOI
Bacuta, Constantin; Demkowicz, Leszek; Mora, Jaime; Xenophontos, Christos Analysis of non-conforming DPG methods on polyhedral meshes using fractional Sobolev norms. (English) Zbl 1524.65746 Comput. Math. Appl. 95, 215-241 (2021). MSC: 65N30 65N15 35J25 46E35 65N12 35R11 26A33 35A15 35J05 PDFBibTeX XMLCite \textit{C. Bacuta} et al., Comput. Math. Appl. 95, 215--241 (2021; Zbl 1524.65746) Full Text: DOI
Li, Jiaqi; Demkowicz, Leszek An \(L^p\)-DPG method for the convection-diffusion problem. (English) Zbl 1524.65833 Comput. Math. Appl. 95, 172-185 (2021). MSC: 65N30 65N12 65N15 46B20 65K10 65J10 41A65 PDFBibTeX XMLCite \textit{J. Li} and \textit{L. Demkowicz}, Comput. Math. Appl. 95, 172--185 (2021; Zbl 1524.65833) Full Text: DOI
Henneking, S.; Demkowicz, L. A numerical study of the pollution error and DPG adaptivity for long waveguide simulations. (English) Zbl 1524.65812 Comput. Math. Appl. 95, 85-100 (2021). MSC: 65N30 35J05 65N12 65N15 78A50 78A25 35Q60 65N50 65Y05 PDFBibTeX XMLCite \textit{S. Henneking} and \textit{L. Demkowicz}, Comput. Math. Appl. 95, 85--100 (2021; Zbl 1524.65812) Full Text: DOI arXiv
Demkowicz, Leszek; Führer, Thomas; Heuer, Norbert; Tian, Xiaochuan The double adaptivity paradigm. (How to circumvent the discrete inf-sup conditions of Babuška and Brezzi). (English) Zbl 1524.65787 Comput. Math. Appl. 95, 41-66 (2021). MSC: 65N30 65N12 65N15 35J25 74S05 35A15 35B25 65N50 76D07 35Q35 PDFBibTeX XMLCite \textit{L. Demkowicz} et al., Comput. Math. Appl. 95, 41--66 (2021; Zbl 1524.65787) Full Text: DOI
Muñoz-Matute, Judit; Pardo, David; Demkowicz, Leszek A DPG-based time-marching scheme for linear hyperbolic problems. (English) Zbl 1506.76094 Comput. Methods Appl. Mech. Eng. 373, Article ID 113539, 18 p. (2021). MSC: 76M10 65M60 PDFBibTeX XMLCite \textit{J. Muñoz-Matute} et al., Comput. Methods Appl. Mech. Eng. 373, Article ID 113539, 18 p. (2021; Zbl 1506.76094) Full Text: DOI
Henneking, Stefan; Grosek, Jacob; Demkowicz, Leszek Model and computational advancements to full vectorial Maxwell model for studying fiber amplifiers. (English) Zbl 1524.65813 Comput. Math. Appl. 85, 30-41 (2021). MSC: 65N30 65N12 78A25 78A60 35K05 35Q60 PDFBibTeX XMLCite \textit{S. Henneking} et al., Comput. Math. Appl. 85, 30--41 (2021; Zbl 1524.65813) Full Text: DOI arXiv
Petrides, Socratis; Demkowicz, Leszek An adaptive multigrid solver for DPG methods with applications in linear acoustics and electromagnetics. (English) Zbl 1524.65927 Comput. Math. Appl. 87, 12-26 (2021). MSC: 65N55 65N30 35J05 65F10 65F08 65N50 76Q05 78A40 35Q60 76M10 78M10 35Q35 PDFBibTeX XMLCite \textit{S. Petrides} and \textit{L. Demkowicz}, Comput. Math. Appl. 87, 12--26 (2021; Zbl 1524.65927) Full Text: DOI arXiv
Demkowicz, Leszek; Zanotti, Pietro Construction of DPG Fortin operators revisited. (English) Zbl 1458.65146 Comput. Math. Appl. 80, No. 11, 2261-2271 (2020). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 76M10 78M10 PDFBibTeX XMLCite \textit{L. Demkowicz} and \textit{P. Zanotti}, Comput. Math. Appl. 80, No. 11, 2261--2271 (2020; Zbl 1458.65146) Full Text: DOI
Demkowicz, Leszek; Gopalakrishnan, Jay; Keith, Brendan The DPG-star method. (English) Zbl 1447.65133 Comput. Math. Appl. 79, No. 11, 3092-3116 (2020). MSC: 65N30 65F20 65N12 65N15 35B45 35N25 PDFBibTeX XMLCite \textit{L. Demkowicz} et al., Comput. Math. Appl. 79, No. 11, 3092--3116 (2020; Zbl 1447.65133) Full Text: DOI arXiv
Nagaraj, Sriram; Grosek, Jacob; Petrides, Socratis; Demkowicz, Leszek F.; Mora, Jaime A 3D DPG Maxwell approach to nonlinear Raman gain in fiber laser amplifiers. (English) Zbl 07785496 J. Comput. Phys.: X 2, Article ID 100002, 24 p. (2019). MSC: 65Nxx 65Mxx 35Jxx PDFBibTeX XMLCite \textit{S. Nagaraj} et al., J. Comput. Phys.: X 2, Article ID 100002, 24 p. (2019; Zbl 07785496) Full Text: DOI arXiv
Salazar, Jacob; Mora, Jaime; Demkowicz, Leszek Alternative enriched test spaces in the DPG method for singular perturbation problems. (English) Zbl 1420.65126 Comput. Methods Appl. Math. 19, No. 3, 603-630 (2019). MSC: 65N30 PDFBibTeX XMLCite \textit{J. Salazar} et al., Comput. Methods Appl. Math. 19, No. 3, 603--630 (2019; Zbl 1420.65126) Full Text: DOI
Mora, Jaime; Demkowicz, Leszek Fast integration of DPG matrices based on sum factorization for all the energy spaces. (English) Zbl 1420.65125 Comput. Methods Appl. Math. 19, No. 3, 523-555 (2019). MSC: 65N30 65D30 65Y20 PDFBibTeX XMLCite \textit{J. Mora} and \textit{L. Demkowicz}, Comput. Methods Appl. Math. 19, No. 3, 523--555 (2019; Zbl 1420.65125) Full Text: DOI arXiv
Bertrand, Fleurianne; Demkowicz, Leszek; Gopalakrishnan, Jay; Heuer, Norbert Recent advances in least-squares and discontinuous Petrov-Galerkin finite element methods. (English) Zbl 1420.65116 Comput. Methods Appl. Math. 19, No. 3, 395-397 (2019). MSC: 65N30 PDFBibTeX XMLCite \textit{F. Bertrand} et al., Comput. Methods Appl. Math. 19, No. 3, 395--397 (2019; Zbl 1420.65116) Full Text: DOI
Keith, Brendan; Astaneh, Ali Vaziri; Demkowicz, Leszek F. Goal-oriented adaptive mesh refinement for discontinuous Petrov-Galerkin methods. (English) Zbl 1422.65391 SIAM J. Numer. Anal. 57, No. 4, 1649-1676 (2019). MSC: 65N30 65N12 65N50 65N15 PDFBibTeX XMLCite \textit{B. Keith} et al., SIAM J. Numer. Anal. 57, No. 4, 1649--1676 (2019; Zbl 1422.65391) Full Text: DOI arXiv
Vaziri Astaneh, Ali; Fuentes, Federico; Mora, Jaime; Demkowicz, Leszek High-order polygonal discontinuous Petrov-Galerkin (PolyDPG) methods using ultraweak formulations. (English) Zbl 1440.65233 Comput. Methods Appl. Mech. Eng. 332, 686-711 (2018). MSC: 65N30 65N50 PDFBibTeX XMLCite \textit{A. Vaziri Astaneh} et al., Comput. Methods Appl. Mech. Eng. 332, 686--711 (2018; Zbl 1440.65233) Full Text: DOI arXiv
Oden, John Tinsley; Demkowicz, Leszek F. Applied functional analysis. 3rd edition. (English) Zbl 1379.46001 Textbooks in Mathematics. Boca Raton, FL: CRC Press (ISBN 978-1-4987-6114-7/hbk; 978-1-032-47637-7/pbk; 978-1-4987-6116-1/ebook). xxi, 609 p. (2018). MSC: 46-01 28-01 47-01 PDFBibTeX XMLCite \textit{J. T. Oden} and \textit{L. F. Demkowicz}, Applied functional analysis. 3rd edition. Boca Raton, FL: CRC Press (2018; Zbl 1379.46001) Full Text: DOI
Keith, Brendan; Petrides, Socratis; Fuentes, Federico; Demkowicz, Leszek Discrete least-squares finite element methods. (English) Zbl 1439.65179 Comput. Methods Appl. Mech. Eng. 327, 226-255 (2017). MSC: 65N30 PDFBibTeX XMLCite \textit{B. Keith} et al., Comput. Methods Appl. Mech. Eng. 327, 226--255 (2017; Zbl 1439.65179) Full Text: DOI arXiv
Fuentes, Federico; Demkowicz, Leszek; Wilder, Aleta Using a DPG method to validate DMA experimental calibration of viscoelastic materials. (English) Zbl 1439.74080 Comput. Methods Appl. Mech. Eng. 325, 748-765 (2017). MSC: 74D05 74S05 65M60 PDFBibTeX XMLCite \textit{F. Fuentes} et al., Comput. Methods Appl. Mech. Eng. 325, 748--765 (2017; Zbl 1439.74080) Full Text: DOI arXiv
Petrides, Socratis; Demkowicz, Leszek F. An adaptive DPG method for high frequency time-harmonic wave propagation problems. (English) Zbl 1397.65288 Comput. Math. Appl. 74, No. 8, 1999-2017 (2017). MSC: 65N30 65N55 65F08 65F10 PDFBibTeX XMLCite \textit{S. Petrides} and \textit{L. F. Demkowicz}, Comput. Math. Appl. 74, No. 8, 1999--2017 (2017; Zbl 1397.65288) Full Text: DOI
Nagaraj, Sriram; Petrides, Socratis; Demkowicz, Leszek F. Construction of DPG Fortin operators for second order problems. (English) Zbl 1397.65284 Comput. Math. Appl. 74, No. 8, 1964-1980 (2017). MSC: 65N30 PDFBibTeX XMLCite \textit{S. Nagaraj} et al., Comput. Math. Appl. 74, No. 8, 1964--1980 (2017; Zbl 1397.65284) Full Text: DOI
Fuentes, Federico; Keith, Brendan; Demkowicz, Leszek; Le Tallec, Patrick Coupled variational formulations of linear elasticity and the DPG methodology. (English) Zbl 1380.65367 J. Comput. Phys. 348, 715-731 (2017). MSC: 65N30 35A15 74B05 74S05 PDFBibTeX XMLCite \textit{F. Fuentes} et al., J. Comput. Phys. 348, 715--731 (2017; Zbl 1380.65367) Full Text: DOI arXiv
Demkowicz, L.; Gopalakrishnan, J.; Nagaraj, S.; Sepúlveda, P. A spacetime DPG method for the Schrödinger equation. (English) Zbl 1369.65122 SIAM J. Numer. Anal. 55, No. 4, 1740-1759 (2017). MSC: 65M60 35Q41 65M12 PDFBibTeX XMLCite \textit{L. Demkowicz} et al., SIAM J. Numer. Anal. 55, No. 4, 1740--1759 (2017; Zbl 1369.65122) Full Text: DOI arXiv
Keith, Brendan; Fuentes, Federico; Demkowicz, Leszek The DPG methodology applied to different variational formulations of linear elasticity. (English) Zbl 1439.74431 Comput. Methods Appl. Mech. Eng. 309, 579-609 (2016). MSC: 74S05 65N30 74B05 PDFBibTeX XMLCite \textit{B. Keith} et al., Comput. Methods Appl. Mech. Eng. 309, 579--609 (2016; Zbl 1439.74431) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{C. Carstensen} et al., Comput. Math. Appl. 72, No. 3, 494--522 (2016; Zbl 1359.65249) Full Text: DOI arXiv
Ellis, Truman; Chan, Jesse; Demkowicz, Leszek Robust DPG methods for transient convection-diffusion. (English) Zbl 1357.65173 Barrenechea, Gabriel R. (ed.) et al., Building bridges: connections and challenges in modern approaches to numerical partial differential equations. Selected papers based on the presentations at the 101st LMS-EPSRC symposium, Durham, UK, July 8–16, 2014. Cham: Springer (ISBN 978-3-319-41638-0/hbk; 978-3-319-41640-3/ebook). Lecture Notes in Computational Science and Engineering 114, 179-203 (2016). MSC: 65M60 35K20 65M12 PDFBibTeX XMLCite \textit{T. Ellis} et al., Lect. Notes Comput. Sci. Eng. 114, 179--203 (2016; Zbl 1357.65173) Full Text: DOI
Keith, Brendan; Knechtges, Philipp; Roberts, Nathan V.; Elgeti, Stefanie; Behr, Marek; Demkowicz, Leszek An ultraweak DPG method for viscoelastic fluids. arXiv:1612.03124 Preprint, arXiv:1612.03124 [math.NA] (2016). MSC: 76A10 76M10 65N30 BibTeX Cite \textit{B. Keith} et al., ``An ultraweak DPG method for viscoelastic fluids'', Preprint, arXiv:1612.03124 [math.NA] (2016) Full Text: DOI arXiv OA License
Fuentes, Federico; Keith, Brendan; Demkowicz, Leszek; Nagaraj, Sriram Orientation embedded high order shape functions for the exact sequence elements of all shapes. (English) Zbl 1443.65326 Comput. Math. Appl. 70, No. 4, 353-458 (2015). MSC: 65N30 68U07 PDFBibTeX XMLCite \textit{F. Fuentes} et al., Comput. Math. Appl. 70, No. 4, 353--458 (2015; Zbl 1443.65326) Full Text: DOI arXiv
Brenner, Susanne C. (ed.); Carstensen, Carsten (ed.); Demkowicz, Leszek F. (ed.); Wriggers, Peter (ed.) Computational engineering. Abstracts from the workshop held September 27 – October 3, 2015. (English) Zbl 1380.00041 Oberwolfach Rep. 12, No. 3, 2533-2592 (2015). MSC: 00B05 00B25 65K15 65N15 65N25 65N30 65N50 65N55 74B05 74B20 74G15 74S05 65-06 74-06 PDFBibTeX XMLCite \textit{S. C. Brenner} (ed.) et al., Oberwolfach Rep. 12, No. 3, 2533--2592 (2015; Zbl 1380.00041) Full Text: DOI
Roberts, Nathan V.; Demkowicz, Leszek; Moser, Robert A discontinuous Petrov-Galerkin methodology for adaptive solutions to the incompressible Navier-Stokes equations. (English) Zbl 1349.76259 J. Comput. Phys. 301, 456-483 (2015). MSC: 76M10 65N30 65N50 76D05 PDFBibTeX XMLCite \textit{N. V. Roberts} et al., J. Comput. Phys. 301, 456--483 (2015; Zbl 1349.76259) Full Text: DOI
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 PDFBibTeX XMLCite \textit{L. Weggler} and \textit{L. Demkowicz}, Appl. Anal. 94, No. 5, 932--956 (2015; Zbl 1321.78004) Full Text: DOI
Matuszyk, Paweł J.; Demkowicz, Leszek F. Solution of coupled poroelastic/acoustic/elastic wave propagation problems using automatic \(h p\)-adaptivity. (English) Zbl 1423.74905 Comput. Methods Appl. Mech. Eng. 281, 54-80 (2014). MSC: 74S05 74J05 74F10 76M10 76Q05 PDFBibTeX XMLCite \textit{Paweł~J. Matuszyk} and \textit{L. F. Demkowicz}, Comput. Methods Appl. Mech. Eng. 281, 54--80 (2014; Zbl 1423.74905) Full Text: DOI
Chan, Jesse; Demkowicz, Leszek; Moser, Robert A DPG method for steady viscous compressible flow. (English) Zbl 1391.76311 Comput. Fluids 98, 69-90 (2014). MSC: 76M10 65N30 PDFBibTeX XMLCite \textit{J. Chan} et al., Comput. Fluids 98, 69--90 (2014; Zbl 1391.76311) Full Text: DOI
Ellis, Truman; Demkowicz, Leszek; Chan, Jesse Locally conservative discontinuous Petrov-Galerkin finite elements for fluid problems. (English) Zbl 1364.76086 Comput. Math. Appl. 68, No. 11, 1530-1549 (2014). MSC: 76M10 65M60 35Q35 PDFBibTeX XMLCite \textit{T. Ellis} et al., Comput. Math. Appl. 68, No. 11, 1530--1549 (2014; Zbl 1364.76086) Full Text: DOI
Roberts, Nathan V.; Bui-Thanh, Tan; Demkowicz, Leszek The DPG method for the Stokes problem. (English) Zbl 1381.76200 Comput. Math. Appl. 67, No. 4, 966-995 (2014). MSC: 76M10 65N30 35Q35 76D07 PDFBibTeX XMLCite \textit{N. V. Roberts} et al., Comput. Math. Appl. 67, No. 4, 966--995 (2014; Zbl 1381.76200) Full Text: DOI
Chan, Jesse; Heuer, Norbert; Bui-Thanh, Tan; Demkowicz, Leszek A robust DPG method for convection-dominated diffusion problems. II: Adjoint boundary conditions and mesh-dependent test norms. (English) Zbl 1350.65120 Comput. Math. Appl. 67, No. 4, 771-795 (2014). MSC: 65N30 35J25 65N12 PDFBibTeX XMLCite \textit{J. Chan} et al., Comput. Math. Appl. 67, No. 4, 771--795 (2014; Zbl 1350.65120) Full Text: DOI Link
Carstensen, Carsten; Demkowicz, Leszek; Gopalakrishnan, Jay A posteriori error control for DPG methods. (English) Zbl 1320.65171 SIAM J. Numer. Anal. 52, No. 3, 1335-1353 (2014). MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{C. Carstensen} et al., SIAM J. Numer. Anal. 52, No. 3, 1335--1353 (2014; Zbl 1320.65171) Full Text: DOI Link
Demkowicz, Leszek F.; Gopalakrishnan, Jay An overview of the discontinuous Petrov Galerkin method. (English) Zbl 1282.65152 Feng, Xiaobing (ed.) et al., Recent developments in discontinuous Galerkin finite element methods for partial differential equations. Papers based on the 2012 John H. Barrett memorial lectures, Knoxville, TN, USA, May 9–11, 2012. Cham: Springer (ISBN 978-3-319-01817-1/hbk; 978-3-319-01818-8/ebook). The IMA Volumes in Mathematics and its Applications 157, 149-180 (2014). MSC: 65N30 35J05 65-02 PDFBibTeX XMLCite \textit{L. F. Demkowicz} and \textit{J. Gopalakrishnan}, IMA Vol. Math. Appl. 157, 149--180 (2014; Zbl 1282.65152) Full Text: DOI
Gatto, P.; Demkowicz, L. Modeling bone conduction of sound in the human head. II: Simulation results. (English) Zbl 1360.74112 J. Comput. Acoust. 21, No. 4, Article ID 1350013, 30 p. (2013). MSC: 74L15 74F10 74J20 76Q05 92C05 92-08 PDFBibTeX XMLCite \textit{P. Gatto} and \textit{L. Demkowicz}, J. Comput. Acoust. 21, No. 4, Article ID 1350013, 30 p. (2013; Zbl 1360.74112) Full Text: DOI
Demkowicz, Leszek; Heuer, Norbert Robust DPG method for convection-dominated diffusion problems. (English) Zbl 1290.65088 SIAM J. Numer. Anal. 51, No. 5, 2514-2537 (2013). Reviewer: Petr Sváček (Praha) MSC: 65M60 35L15 65M15 65M12 PDFBibTeX XMLCite \textit{L. Demkowicz} and \textit{N. Heuer}, SIAM J. Numer. Anal. 51, No. 5, 2514--2537 (2013; Zbl 1290.65088) Full Text: DOI Link
Bui-Thanh, Tan; Demkowicz, Leszek; Ghattas, Omar A unified discontinuous Petrov-Galerkin method and its analysis for Friedrichs systems. (English) Zbl 1278.65173 SIAM J. Numer. Anal. 51, No. 4, 1933-1958 (2013). Reviewer: Nicolae Pop (Baia Mare) MSC: 65N30 65N12 65N22 PDFBibTeX XMLCite \textit{T. Bui-Thanh} et al., SIAM J. Numer. Anal. 51, No. 4, 1933--1958 (2013; Zbl 1278.65173) Full Text: DOI Link
Bui-Thanh, Tan; Demkowicz, Leszek; Ghattas, Omar Constructively well-posed approximation methods with unity inf-sup and continuity constants for partial differential equations. (English) Zbl 1281.65129 Math. Comput. 82, No. 284, 1923-1952 (2013). Reviewer: Roland Pulch (Greifswald) MSC: 65M60 65M12 65M15 35L02 PDFBibTeX XMLCite \textit{T. Bui-Thanh} et al., Math. Comput. 82, No. 284, 1923--1952 (2013; Zbl 1281.65129) Full Text: DOI
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 PDFBibTeX XMLCite \textit{L. Demkowicz} and \textit{J. Li}, Comput. Mech. 51, No. 5, 661--672 (2013; Zbl 1311.78011) Full Text: DOI
Matuszyk, Pawel J.; Demkowicz, Leszek F. Parametric finite elements, exact sequences and perfectly matched layers. (English) Zbl 1398.65308 Comput. Mech. 51, No. 1, 35-45 (2013). MSC: 65N30 PDFBibTeX XMLCite \textit{P. J. Matuszyk} and \textit{L. F. Demkowicz}, Comput. Mech. 51, No. 1, 35--45 (2013; Zbl 1398.65308) Full Text: DOI
Cecot, W. (ed.); Demkowicz, L. (ed.); Pamin, J. (ed.); Sangalli, G. (ed.) Preface. (English) Zbl 1356.00041 Comput. Methods Appl. Mech. Eng. 249-252, 1 (2012). MSC: 00B25 65-06 74-06 74S05 65N30 PDFBibTeX XMLCite \textit{W. Cecot} (ed.) et al., Comput. Methods Appl. Mech. Eng. 249--252, 1 (2012; Zbl 1356.00041) Full Text: DOI
Bramwell, Jamie; Demkowicz, Leszek; Gopalakrishnan, Jay; Qiu, Weifeng A locking-free \(hp\) DPG method for linear elasticity with symmetric stresses. (English) Zbl 1283.74094 Numer. Math. 122, No. 4, 671-707 (2012). MSC: 74S05 74B05 PDFBibTeX XMLCite \textit{J. Bramwell} et al., Numer. Math. 122, No. 4, 671--707 (2012; Zbl 1283.74094) Full Text: DOI arXiv
Jhurani, Chetan; Demkowicz, Leszek Multiscale modeling using goal-oriented adaptivity and numerical homogenization. II: Algorithms for the Moore-Penrose pseudoinverse. (English) Zbl 1243.74169 Comput. Methods Appl. Mech. Eng. 213-216, 418-426 (2012). MSC: 74Q99 76M50 15A09 PDFBibTeX XMLCite \textit{C. Jhurani} and \textit{L. Demkowicz}, Comput. Methods Appl. Mech. Eng. 213--216, 418--426 (2012; Zbl 1243.74169) Full Text: DOI
Jhurani, Chetan; Demkowicz, Leszek Multiscale modeling using goal-oriented adaptivity and numerical homogenization. I: Mathematical formulation and numerical results. (English) Zbl 1243.74168 Comput. Methods Appl. Mech. Eng. 213-216, 399-417 (2012). MSC: 74Q99 76M50 15A09 PDFBibTeX XMLCite \textit{C. Jhurani} and \textit{L. Demkowicz}, Comput. Methods Appl. Mech. Eng. 213--216, 399--417 (2012; Zbl 1243.74168) Full Text: DOI
Matuszyk, Pawel J.; Demkowicz, Leszek F.; Torres-Verdin, Carlos Solution of coupled acoustic-elastic wave propagation problems with anelastic attenuation using automatic \(hp\)-adaptivity. (English) Zbl 1243.76087 Comput. Methods Appl. Mech. Eng. 213-216, 299-313 (2012). MSC: 76Q05 76M10 74S05 74F10 74J05 PDFBibTeX XMLCite \textit{P. J. Matuszyk} et al., Comput. Methods Appl. Mech. Eng. 213--216, 299--313 (2012; Zbl 1243.76087) Full Text: DOI
Demkowicz, Leszek F.; Gopalakrishnan, Jayadeep; Muga, Ignacio; Zitelli, J. Wavenumber explicit analysis of a DPG method for the multidimensional Helmholtz equation. (English) Zbl 1243.76059 Comput. Methods Appl. Mech. Eng. 213-216, 126-138 (2012). MSC: 76M10 65N30 76Q05 35J05 35Q35 65N12 PDFBibTeX XMLCite \textit{L. F. Demkowicz} et al., Comput. Methods Appl. Mech. Eng. 213--216, 126--138 (2012; Zbl 1243.76059) Full Text: DOI Link
Demkowicz, Leszek; Gopalakrishnan, Jay; Niemi, Antti H. A class of discontinuous Petrov-Galerkin methods. III: Adaptivity. (English) Zbl 1316.76047 Appl. Numer. Math. 62, No. 4, 396-427 (2012). MSC: 76M10 65N30 65N50 76R50 PDFBibTeX XMLCite \textit{L. Demkowicz} et al., Appl. Numer. Math. 62, No. 4, 396--427 (2012; Zbl 1316.76047) Full Text: DOI
Qiu, Weifeng; Demkowicz, Leszek Mixed variable order \(h\)-finite element method for linear elasticity with weakly imposed symmetry. Curvilinear elements in 2D. (English) Zbl 1284.65172 Comput. Methods Appl. Math. 11, No. 4, 510-539 (2011). MSC: 65N30 65L12 PDFBibTeX XMLCite \textit{W. Qiu} and \textit{L. Demkowicz}, Comput. Methods Appl. Math. 11, No. 4, 510--539 (2011; Zbl 1284.65172) Full Text: DOI arXiv
Demkowicz, L.; Gopalakrishnan, J. Analysis of the DPG method for the Poisson equation. (English) Zbl 1237.65122 SIAM J. Numer. Anal. 49, No. 5, 1788-1809 (2011). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 35J25 35J05 65N15 PDFBibTeX XMLCite \textit{L. Demkowicz} and \textit{J. Gopalakrishnan}, SIAM J. Numer. Anal. 49, No. 5, 1788--1809 (2011; Zbl 1237.65122) Full Text: DOI Link
Demkowicz, L.; Gatto, P.; Kurtz, J.; Paszyński, M.; Rachowicz, W.; Bleszyński, E.; Bleszyński, M.; Hamilton, M.; Champlin, C.; Pardo, D. Modeling of bone conduction of sound in the human head using hp-finite elements: code design and verification. (English) Zbl 1228.74046 Comput. Methods Appl. Mech. Eng. 200, No. 21-22, 1757-1773 (2011). MSC: 74L15 74S05 92C10 PDFBibTeX XMLCite \textit{L. Demkowicz} et al., Comput. Methods Appl. Mech. Eng. 200, No. 21--22, 1757--1773 (2011; Zbl 1228.74046) Full Text: DOI Link
Niemi, Antti H.; Bramwell, Jamie A.; Demkowicz, Leszek F. Discontinuous Petrov-Galerkin method with optimal test functions for thin-body problems in solid mechanics. (English) Zbl 1225.74100 Comput. Methods Appl. Mech. Eng. 200, No. 9-12, 1291-1300 (2011). MSC: 74S05 74K10 74K25 PDFBibTeX XMLCite \textit{A. H. Niemi} et al., Comput. Methods Appl. Mech. Eng. 200, No. 9--12, 1291--1300 (2011; Zbl 1225.74100) Full Text: DOI
Qiu, Weifeng; Demkowicz, Leszek Mixed \(hp\)-finite element method for linear elasticity with weakly imposed symmetry: stability analysis. (English) Zbl 1328.74082 SIAM J. Numer. Anal. 49, No. 2, 619-641 (2011). MSC: 74S05 74B05 65N30 65N12 PDFBibTeX XMLCite \textit{W. Qiu} and \textit{L. Demkowicz}, SIAM J. Numer. Anal. 49, No. 2, 619--641 (2011; Zbl 1328.74082) Full Text: DOI arXiv
Boffi, Daniele; Costabel, Martin; Dauge, Monique; Demkowicz, Leszek; Hiptmair, Ralf Discrete compactness for the \(p\)-version of discrete differential forms. (English) Zbl 1230.78025 SIAM J. Numer. Anal. 49, No. 1, 135-158 (2011). MSC: 78M10 65N25 65N35 PDFBibTeX XMLCite \textit{D. Boffi} et al., SIAM J. Numer. Anal. 49, No. 1, 135--158 (2011; Zbl 1230.78025) Full Text: DOI arXiv
Zitelli, J.; Muga, I.; Demkowicz, L.; Gopalakrishnan, J.; Pardo, D.; Calo, V. M. A class of discontinuous Petrov-Galerkin methods. IV: The optimal test norm and time-harmonic wave propagation in 1D. (English) Zbl 1316.76054 J. Comput. Phys. 230, No. 7, 2406-2432 (2011). MSC: 76M10 65N30 65N12 PDFBibTeX XMLCite \textit{J. Zitelli} et al., J. Comput. Phys. 230, No. 7, 2406--2432 (2011; Zbl 1316.76054) Full Text: DOI
Demkowicz, L.; Gopalakrishnan, J. A class of discontinuous Petrov-Galerkin methods. II. Optimal test functions. (English) Zbl 1208.65164 Numer. Methods Partial Differ. Equations 27, No. 1, 70-105 (2011). MSC: 65N30 PDFBibTeX XMLCite \textit{L. Demkowicz} and \textit{J. Gopalakrishnan}, Numer. Methods Partial Differ. Equations 27, No. 1, 70--105 (2011; Zbl 1208.65164) Full Text: DOI Link
Demkowicz, L.; Gopalakrishnan, J. A class of discontinuous Petrov-Galerkin methods. I: The transport equation. (English) Zbl 1231.76142 Comput. Methods Appl. Mech. Eng. 199, No. 23-24, 1558-1572 (2010). MSC: 76M10 76R99 PDFBibTeX XMLCite \textit{L. Demkowicz} and \textit{J. Gopalakrishnan}, Comput. Methods Appl. Mech. Eng. 199, No. 23--24, 1558--1572 (2010; Zbl 1231.76142) Full Text: DOI
Oden, J. Tinsley; Demkowicz, Leszek F. Applied functional analysis. 2nd ed. (English) Zbl 1200.46001 Boca Raton, FL: CRC Press (ISBN 978-1-4200-9195-3/hbk). xvii, 578 p. (2010). Reviewer: Olav Nygaard (Kristiansand) MSC: 46-01 28-01 47-01 PDFBibTeX XMLCite \textit{J. T. Oden} and \textit{L. F. Demkowicz}, Applied functional analysis. 2nd ed. Boca Raton, FL: CRC Press (2010; Zbl 1200.46001)
Qiu, Weifeng; Demkowicz, Leszek Mixed \(hp\)-finite element method for linear elasticity with weakly imposed symmetry. (English) Zbl 1230.74195 Comput. Methods Appl. Mech. Eng. 198, No. 47-48, 3682-3701 (2009). MSC: 74S05 74B05 PDFBibTeX XMLCite \textit{W. Qiu} and \textit{L. Demkowicz}, Comput. Methods Appl. Mech. Eng. 198, No. 47--48, 3682--3701 (2009; Zbl 1230.74195) Full Text: DOI
Michler, Christian; Demkowicz, Leszek; Torres-Verdín, Carlos Numerical simulation of borehole acoustic logging in the frequency and time domains with \(hp\)-adaptive finite elements. (English) Zbl 1227.76034 Comput. Methods Appl. Mech. Eng. 198, No. 21-26, 1821-1838 (2009). MSC: 76M10 76Q05 PDFBibTeX XMLCite \textit{C. Michler} et al., Comput. Methods Appl. Mech. Eng. 198, No. 21--26, 1821--1838 (2009; Zbl 1227.76034) Full Text: DOI
Demkowicz, Leszek; Gopalakrishnan, Jayadeep; Schöberl, Joachim Polynomial extension operators. II. (English) Zbl 1208.46030 SIAM J. Numer. Anal. 47, No. 5, 3293-3324 (2009). Reviewer: Wilhelm Heinrichs (Essen) MSC: 46E35 46E39 65N30 47H60 11C08 31B10 PDFBibTeX XMLCite \textit{L. Demkowicz} et al., SIAM J. Numer. Anal. 47, No. 5, 3293--3324 (2009; Zbl 1208.46030) Full Text: DOI
Ainsworth, Mark; Demkowicz, Leszek Explicit polynomial preserving trace liftings on a triangle. (English) Zbl 1175.46019 Math. Nachr. 282, No. 5, 640-658 (2009). MSC: 46E35 47B35 65N55 65N35 PDFBibTeX XMLCite \textit{M. Ainsworth} and \textit{L. Demkowicz}, Math. Nachr. 282, No. 5, 640--658 (2009; Zbl 1175.46019) Full Text: DOI
Demkowicz, L.; Gatto, P.; Qiu, W.; Joplin, A. \(G^1\)-interpolation and geometry reconstruction for higher order finite elements. (English) Zbl 1157.65485 Comput. Methods Appl. Mech. Eng. 198, No. 13-14, 1198-1212 (2009). MSC: 65N30 PDFBibTeX XMLCite \textit{L. Demkowicz} et al., Comput. Methods Appl. Mech. Eng. 198, No. 13--14, 1198--1212 (2009; Zbl 1157.65485) Full Text: DOI
Costabel, M.; Dauge, M.; Demkowicz, L. Polynomial extension operators for \(H^1\), \(H(\mathrm{curl})\) and \(H(\mathrm{div})\)-spaces on a cube. (English) Zbl 1198.65235 Math. Comput. 77, No. 264, 1967-1999 (2008). MSC: 65N35 65N30 78M10 35J05 PDFBibTeX XMLCite \textit{M. Costabel} et al., Math. Comput. 77, No. 264, 1967--1999 (2008; Zbl 1198.65235) Full Text: DOI
Demkowicz, Leszek; Gopalakrishnan, Jayadeep; Schöberl, Joachim Polynomial extension operators. I. (English) Zbl 1189.46025 SIAM J. Numer. Anal. 46, No. 6, 3006-3031 (2008). Reviewer: Wilhelm Heinrichs (Essen) MSC: 46E35 46E39 65N30 47H60 31B10 PDFBibTeX XMLCite \textit{L. Demkowicz} et al., SIAM J. Numer. Anal. 46, No. 6, 3006--3031 (2008; Zbl 1189.46025) Full Text: DOI
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 PDFBibTeX XMLCite \textit{D. Pardo} et al., SIAM J. Sci. Comput. 30, No. 6, 2948--2964 (2008; Zbl 1185.78019) Full Text: DOI
Demkowicz, Leszek Polynomial exact sequences and projection-based interpolation with application to Maxwell equations. (English) Zbl 1143.78366 Boffi, Daniele (ed.) et al., Mixed finite elements, compatibility conditions, and applications. Lectures given at the C.I.M.E. summer school, Cetraro, Italy, June 26–July 1, 2006. Berlin: Springer; Florenz: Fondazione CIME Roberto Conti (ISBN 978-3-540-78314-5/pbk). Lecture Notes in Mathematics 1939, 101-158 (2008). MSC: 78M10 65N30 65N55 65D05 PDFBibTeX XMLCite \textit{L. Demkowicz}, Lect. Notes Math. 1939, 101--158 (2008; Zbl 1143.78366)
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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \textit{D. Pardo} et al., Comput. Methods Appl. Mech. Eng. 196, No. 49--52, 4811--4822 (2007; Zbl 1173.78321) Full Text: DOI
Pardo, D.; Demkowicz, L.; Torres-Verdín, C.; Paszynski, M. A self-adaptive goal-oriented \(hp\)-finite element method with electromagnetic applications. II: Electrodynamics. (English) Zbl 1173.78320 Comput. Methods Appl. Mech. Eng. 196, No. 37-40, 3585-3597 (2007). MSC: 78M10 PDFBibTeX XMLCite \textit{D. Pardo} et al., Comput. Methods Appl. Mech. Eng. 196, No. 37--40, 3585--3597 (2007; Zbl 1173.78320) Full Text: DOI
Kurtz, J.; Demkowicz, L. A fully automatic \(hp\)-adaptivity for elliptic PDEs in three dimensions. (English) Zbl 1173.65357 Comput. Methods Appl. Mech. Eng. 196, No. 37-40, 3534-3545 (2007). MSC: 65N30 65N50 PDFBibTeX XMLCite \textit{J. Kurtz} and \textit{L. Demkowicz}, Comput. Methods Appl. Mech. Eng. 196, No. 37--40, 3534--3545 (2007; Zbl 1173.65357) Full Text: DOI
Ainsworth, Mark; Demkowicz, Leszek; Kim, Chang-Wan Analysis of the equilibrated residual method for a posteriori error estimation on meshes with hanging nodes. (English) Zbl 1173.76424 Comput. Methods Appl. Mech. Eng. 196, No. 37-40, 3493-3507 (2007). MSC: 76V05 76M10 65N30 PDFBibTeX XMLCite \textit{M. Ainsworth} et al., Comput. Methods Appl. Mech. Eng. 196, No. 37--40, 3493--3507 (2007; Zbl 1173.76424) Full Text: DOI
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 PDFBibTeX XMLCite \textit{L. Demkowicz} and \textit{J. Kurtz}, ESAIM, Proc. 21, 1--15 (2007; Zbl 1128.65096) Full Text: DOI
Oden, J. T.; Diller, K. R.; Bajaj, C.; Browne, J. C.; Hazle, J.; Babuška, I.; Bass, J.; Biduat, L.; Demkowicz, L.; Elliott, A.; Feng, Y.; Fuentes, D.; Prudhomme, S.; Rylander, M. N.; Stafford, R. J.; Zhang, Y. Dynamic data-driven finite element models for laser treatment of cancer. (English) Zbl 1114.92043 Numer. Methods Partial Differ. Equations 23, No. 4, 904-922 (2007). MSC: 92C50 92C55 49N90 65N30 PDFBibTeX XMLCite \textit{J. T. Oden} et al., Numer. Methods Partial Differ. Equations 23, No. 4, 904--922 (2007; Zbl 1114.92043) Full Text: DOI
Michler, C.; Demkowicz, L.; Kurtz, J.; Pardo, D. Improving the performance of perfectly matched layers by means of \(hp\)-adaptivity. (English) Zbl 1118.65123 Numer. Methods Partial Differ. Equations 23, No. 4, 832-858 (2007). MSC: 65N30 35J05 65Y20 PDFBibTeX XMLCite \textit{C. Michler} et al., Numer. Methods Partial Differ. Equations 23, No. 4, 832--858 (2007; Zbl 1118.65123) Full Text: DOI
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 PDFBibTeX XMLCite \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
Rachowicz, W.; Pardo, D.; Demkowicz, L. Fully automatic \(hp\)-adaptivity in three dimensions. (English) Zbl 1193.65203 Comput. Methods Appl. Mech. Eng. 195, No. 37-40, 4816-4842 (2006). MSC: 65N30 35L15 PDFBibTeX XMLCite \textit{W. Rachowicz} et al., Comput. Methods Appl. Mech. Eng. 195, No. 37--40, 4816--4842 (2006; Zbl 1193.65203) Full Text: DOI
Demkowicz, L.; Shen, Jie A few new (?) facts about infinite elements. (English) Zbl 1123.76028 Comput. Methods Appl. Mech. Eng. 195, No. 29-32, 3572-3590 (2006). MSC: 76M10 76Q05 PDFBibTeX XMLCite \textit{L. Demkowicz} and \textit{J. Shen}, Comput. Methods Appl. Mech. Eng. 195, No. 29--32, 3572--3590 (2006; Zbl 1123.76028) Full Text: DOI
Pardo, D.; Demkowicz, L.; Gopalakrishnan, J. Integration of \(hp\)-adaptivity and a two-grid solver for electromagnetic problems. (English) Zbl 1131.78009 Comput. Methods Appl. Mech. Eng. 195, No. 19-22, 2533-2573 (2006). Reviewer: Johannes Elschner (Berlin) MSC: 78M10 65N55 PDFBibTeX XMLCite \textit{D. Pardo} et al., Comput. Methods Appl. Mech. Eng. 195, No. 19--22, 2533--2573 (2006; Zbl 1131.78009) Full Text: DOI
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 PDFBibTeX XMLCite \textit{D. Boffi} et al., SIAM J. Numer. Anal. 44, No. 3, 979--1004 (2006; Zbl 1122.65110) Full Text: DOI
Düster, Alexander; Demkowicz, Leszek; Rank, Ernst High-order finite elements applied to the discrete Boltzmann equation. (English) Zbl 1113.76049 Int. J. Numer. Methods Eng. 67, No. 8, 1094-1121 (2006). MSC: 76M10 76P05 PDFBibTeX XMLCite \textit{A. Düster} et al., Int. J. Numer. Methods Eng. 67, No. 8, 1094--1121 (2006; Zbl 1113.76049) Full Text: DOI
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 PDFBibTeX XMLCite \textit{D. Pardo} et al., Int. J. Numer. Methods Eng. 65, No. 8, 1269--1309 (2006; Zbl 1118.78015) Full Text: DOI
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 PDFBibTeX XMLCite \textit{D. Pardo} et al., SIAM J. Appl. Math. 66, No. 6, 2085--2106 (2006; Zbl 1116.78014) Full Text: DOI
Demkowicz, L.; Kurtz, J. Conjugated Bubnov-Galerkin infinite element for Maxwell equations. (English) Zbl 1135.78009 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, 143-159 (2006). MSC: 78M10 PDFBibTeX XMLCite \textit{L. Demkowicz} and \textit{J. Kurtz}, IMA Vol. Math. Appl. 142, 143--159 (2006; Zbl 1135.78009)
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 PDFBibTeX XMLCite \textit{M. Paszyński} et al., Comput. Methods Appl. Mech. Eng. 195, No. 7--8, 711--741 (2006; Zbl 1093.65113) Full Text: DOI
Pardo, D.; Demkowicz, L. Integration of \(hp\)-adaptivity and a two-grid solver for elliptic problems. (English) Zbl 1093.65112 Comput. Methods Appl. Mech. Eng. 195, No. 7-8, 674-710 (2006). MSC: 65N30 65N55 65F10 65F35 35J25 PDFBibTeX XMLCite \textit{D. Pardo} and \textit{L. Demkowicz}, Comput. Methods Appl. Mech. Eng. 195, No. 7--8, 674--710 (2006; Zbl 1093.65112) Full Text: DOI
Oden, J. Tinsley; Prudhomme, Serge; Demkowicz, Leszek A posteriori error estimation for acoustic wave propagation problems. (English) Zbl 1145.76033 Arch. Comput. Methods Eng. 12, No. 4, 343-389 (2005). MSC: 76M10 76M15 76Q05 65N15 76-02 PDFBibTeX XMLCite \textit{J. T. Oden} et al., Arch. Comput. Methods Eng. 12, No. 4, 343--389 (2005; Zbl 1145.76033) Full Text: DOI
Cao, W.; Demkowicz, L. Optimal error estimate of a projection based interpolation for the \(p\)-version approximation in three dimensions. (English) Zbl 1092.65095 Comput. Math. Appl. 50, No. 3-4, 359-366 (2005). Reviewer: Jan Maes (Leuven) MSC: 65N15 65N30 35J25 PDFBibTeX XMLCite \textit{W. Cao} and \textit{L. Demkowicz}, Comput. Math. Appl. 50, No. 3--4, 359--366 (2005; Zbl 1092.65095) Full Text: DOI
Gopalakrishnan, J.; García-Castillo, L. E.; Demkowicz, L. F. Nédélec spaces in affine coordinates. (English) Zbl 1078.65103 Comput. Math. Appl. 49, No. 7-8, 1285-1294 (2005). Reviewer: Myron Sussman (Bethel Park) MSC: 65N30 PDFBibTeX XMLCite \textit{J. Gopalakrishnan} et al., Comput. Math. Appl. 49, No. 7--8, 1285--1294 (2005; Zbl 1078.65103) Full Text: DOI Link
Xue, Dong; Demkowicz, Leszek Control of geometry induced error in \(hp\) finite element (FE) simulation. I: Evaluation of FE error for curvilinear geometries. (English) Zbl 1073.65122 Int. J. Numer. Anal. Model. 2, No. 3, 283-300 (2005). MSC: 65N15 65N30 65N50 35J25 35Q60 35J05 PDFBibTeX XMLCite \textit{D. Xue} and \textit{L. Demkowicz}, Int. J. Numer. Anal. Model. 2, No. 3, 283--300 (2005; Zbl 1073.65122)
Whiteman, J. (ed.); Demkowicz, L. (ed.) Special issue: Selected papers from the 11th conference on the mathematics of finite elements and applications, (MAFELAP 2003), London, UK, June 21–23, 2003. (English) Zbl 1075.74503 Comput. Methods Appl. Mech. Eng. 194, No. 2-5, iii-iv, 105-674 (2005). MSC: 74-06 76-06 78-06 74S05 76M10 78M10 00B25 PDFBibTeX XMLCite \textit{J. Whiteman} (ed.) and \textit{L. Demkowicz} (ed.), Comput. Methods Appl. Mech. Eng. 194, No. 2--5, iii-iv, 105--674 (2005; Zbl 1075.74503) Full Text: DOI