Bermúdez, A.; López-Rodríguez, B.; Pena, F. J.; Rodríguez, R.; Salgado, P.; Venegas, P. Numerical solution of an axisymmetric eddy current model with current and voltage excitations. (English) Zbl 07488718 J. Sci. Comput. 91, No. 1, Paper No. 8, 26 p. (2022). MSC: 65N30 78A55 78M10 65N12 65N15 PDF BibTeX XML Cite \textit{A. Bermúdez} et al., J. Sci. Comput. 91, No. 1, Paper No. 8, 26 p. (2022; Zbl 07488718) Full Text: DOI OpenURL
Bermúdez, Alfredo; López-Rodríguez, Bibiana; Rodríguez, Rodolfo; Salgado, Pilar Numerical analysis of a penalty approach for the solution of a transient eddy current problem. (English) Zbl 1437.78009 Comput. Math. Appl. 79, No. 9, 2503-2526 (2020). MSC: 78M10 78M20 78M30 78A25 65M60 65M06 PDF BibTeX XML Cite \textit{A. Bermúdez} et al., Comput. Math. Appl. 79, No. 9, 2503--2526 (2020; Zbl 1437.78009) Full Text: DOI OpenURL
Bermúdez, A.; Gómez, D.; Venegas, P. Mathematical analysis and numerical solution of models with dynamic Preisach hysteresis. (English) Zbl 1428.78006 J. Comput. Appl. Math. 367, Article ID 112452, 18 p. (2020). MSC: 78A25 78M10 35B45 65M06 65N30 78M20 35Q60 PDF BibTeX XML Cite \textit{A. Bermúdez} et al., J. Comput. Appl. Math. 367, Article ID 112452, 18 p. (2020; Zbl 1428.78006) Full Text: DOI arXiv OpenURL
Bermúdez, Alfredo; Piñeiro, Marta; Rodríguez, Rodolfo; Salgado, Pilar Analysis of an ungauged \(\boldsymbol{T},\phi-\phi\) formulation of the eddy current problem with currents and voltage excitations. (English) Zbl 1383.78007 ESAIM, Math. Model. Numer. Anal. 51, No. 6, 2487-2509 (2017). MSC: 78A25 65N30 78M10 78A30 PDF BibTeX XML Cite \textit{A. Bermúdez} et al., ESAIM, Math. Model. Numer. Anal. 51, No. 6, 2487--2509 (2017; Zbl 1383.78007) Full Text: DOI OpenURL
Bermúdez, Alfredo; Piñeiro, Marta; Rodríguez, Rodolfo; Salgado, Pilar Analysis of a \(\boldsymbol{T}\), \(\phi\)-\(\phi\) formulation of the eddy current problem based on edge finite elements. (English) Zbl 1355.78038 Karasözen, Bülent (ed.) et al., Numerical mathematics and advanced applications – ENUMATH 2015. Selected papers based on the presentations at the European conference, Ankara, Turkey, September 14–18, 2015. Cham: Springer (ISBN 978-3-319-39927-0/hbk; 978-3-319-39929-4/ebook). Lecture Notes in Computational Science and Engineering 112, 547-555 (2016). MSC: 78M10 78A30 PDF BibTeX XML Cite \textit{A. Bermúdez} et al., Lect. Notes Comput. Sci. Eng. 112, 547--555 (2016; Zbl 1355.78038) Full Text: DOI OpenURL
Bermúdez, Alfredo; Gómez, Dolores; Rodríguez, Rodolfo; Venegas, Pablo Numerical analysis of a transient non-linear axisymmetric eddy current model. (English) Zbl 1443.65193 Comput. Math. Appl. 70, No. 8, 1984-2005 (2015). MSC: 65M60 78A35 PDF BibTeX XML Cite \textit{A. Bermúdez} et al., Comput. Math. Appl. 70, No. 8, 1984--2005 (2015; Zbl 1443.65193) Full Text: DOI OpenURL
Bermúdez, A.; Gómez, D.; Rodríguez, R.; Venegas, P. Mathematical analysis and numerical solution of axisymmetric eddy-current problems with Preisach hysteresis model. (English) Zbl 1366.78004 Rend. Semin. Mat., Univ. Politec. Torino 72, No. 1-2, 73-117 (2014). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 78A25 65N30 78A55 78M10 78M20 65N15 35D30 47J40 PDF BibTeX XML Cite \textit{A. Bermúdez} et al., Rend. Semin. Mat., Univ. Politec. Torino 72, No. 1--2, 73--117 (2014; Zbl 1366.78004) OpenURL
Bermúdez, Alfredo; Gómez, Dolores; Salgado, Pilar Mathematical models and numerical simulation in electromagnetism. (English) Zbl 1304.78001 Unitext 74. La Matematica per il 3+2. Cham: Springer (ISBN 978-3-319-02948-1/pbk; 978-3-319-02949-8/ebook). xvii, 432 p. (2014). Reviewer: Gunther Schmidt (Berlin) MSC: 78-01 78A25 78A30 78M10 PDF BibTeX XML Cite \textit{A. Bermúdez} et al., Mathematical models and numerical simulation in electromagnetism. Cham: Springer (2014; Zbl 1304.78001) Full Text: DOI OpenURL
Bermúdez, Alfredo; Muñoz-Sola, Rafael; Pena, Francisco Existence of a solution for a thermoelectric model with several phase changes and a Carathéodory thermal conductivity. (English) Zbl 1298.78006 Nonlinear Anal., Real World Appl. 14, No. 6, 2212-2230 (2013). MSC: 78A30 80A22 80A20 35K61 PDF BibTeX XML Cite \textit{A. Bermúdez} et al., Nonlinear Anal., Real World Appl. 14, No. 6, 2212--2230 (2013; Zbl 1298.78006) Full Text: DOI OpenURL
Bermúdez, A.; Gómez, D.; Salgado, P.; Rodríguez, R.; Venegas, P. Numerical solution of a transient nonlinear axisymmetric eddy current model with nonlocal boundary conditions. (English) Zbl 1274.78088 Math. Models Methods Appl. Sci. 23, No. 13, 2495-2521 (2013). MSC: 78M10 65N30 78A55 PDF BibTeX XML Cite \textit{A. Bermúdez} et al., Math. Models Methods Appl. Sci. 23, No. 13, 2495--2521 (2013; Zbl 1274.78088) Full Text: DOI OpenURL
Bermúdez, Alfredo; López-Rodríguez, Bibiana; Rodríguez, Rodolfo; Salgado, Pilar An eddy current problem in terms of a time-primitive of the electric field with non-local source conditions. (English) Zbl 1266.78025 ESAIM, Math. Model. Numer. Anal. 47, No. 3, 875-902 (2013). MSC: 78M10 65N30 78A25 PDF BibTeX XML Cite \textit{A. Bermúdez} et al., ESAIM, Math. Model. Numer. Anal. 47, No. 3, 875--902 (2013; Zbl 1266.78025) Full Text: DOI OpenURL
Bermúdez, Alfredo; López-Rodríguez, Bibiana; Rodríguez, Rodolfo; Salgado, Pilar Equivalence between two finite element methods for the eddy current problem. (English. Abridged French version) Zbl 1201.78028 C. R., Math., Acad. Sci. Paris 348, No. 13-14, 769-774 (2010). Reviewer: Tilmann Glimm (Bellingham) MSC: 78M10 78A25 65N30 35D30 PDF BibTeX XML Cite \textit{A. Bermúdez} et al., C. R., Math., Acad. Sci. Paris 348, No. 13--14, 769--774 (2010; Zbl 1201.78028) Full Text: DOI Link OpenURL
Bermúdez, Alfredo; Reales, Carlos; Rodríguez, Rodolfo; Salgado, Pilar Numerical analysis of a finite-element method for the axisymmetric eddy current model of an induction furnace. (English) Zbl 1196.78023 IMA J. Numer. Anal. 30, No. 3, 654-676 (2010). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 78M10 78A25 78A97 PDF BibTeX XML Cite \textit{A. Bermúdez} et al., IMA J. Numer. Anal. 30, No. 3, 654--676 (2010; Zbl 1196.78023) Full Text: DOI OpenURL
Bermúdez, Alfredo; Rodríguez, Rodolfo; Salgado, Pilar A finite element method for the magnetostatic problem in terms of scalar potentials. (English) Zbl 1171.78010 SIAM J. Numer. Anal. 46, No. 3, 1338-1363 (2008). Reviewer: Nina Shokina (Freiburg) MSC: 78M10 65N30 78A30 PDF BibTeX XML Cite \textit{A. Bermúdez} et al., SIAM J. Numer. Anal. 46, No. 3, 1338--1363 (2008; Zbl 1171.78010) Full Text: DOI OpenURL
Bermúdez, A.; Gómez, D.; Muñiz, M. C.; Salgado, P.; Vázquez, R. Numerical simulation of induction furnaces for silicon purification. (English) Zbl 1308.80016 Bonilla, Luis L. (ed.) et al., Progress in industrial mathematics at ECMI 2006. Papers of the 14th European conference of the European Consortium for Mathematics in Industry, Leganés, Madrid, Spain, July 10–14, 2006. Berlin: Springer (ISBN 978-3-540-71991-5/hbk). Mathematics in Industry 12, 48-65 (2008). MSC: 80M25 76F99 78A55 78M10 PDF BibTeX XML Cite \textit{A. Bermúdez} et al., Math. Ind. 12, 48--65 (2008; Zbl 1308.80016) Full Text: DOI OpenURL
Bermúdez, A.; Gómez, D.; Muñiz, M. C.; Salgado, P. A FEM/BEM for axisymmetric electromagnetic and thermal modelling of induction furnaces. (English) Zbl 1194.78050 Int. J. Numer. Methods Eng. 71, No. 7, 856-878 (2007); erratum ibid. 71, No. 7, 879-882 (2007). MSC: 78M10 78M15 78A55 80A22 80A20 PDF BibTeX XML Cite \textit{A. Bermúdez} et al., Int. J. Numer. Methods Eng. 71, No. 7, 856--878 (2007; Zbl 1194.78050) Full Text: DOI OpenURL
Bermúdez, A.; Gómez, D.; Muñiz, M. C.; Salgado, P. Transient numerical simulation of a thermoelectrical problem in cylindrical induction heating furnaces. (English) Zbl 1115.78010 Adv. Comput. Math. 26, No. 1-3, 39-62 (2007). Reviewer: Gunther Schmidt (Berlin) MSC: 78A55 80A20 80M10 65M60 78M10 PDF BibTeX XML Cite \textit{A. Bermúdez} et al., Adv. Comput. Math. 26, No. 1--3, 39--62 (2007; Zbl 1115.78010) Full Text: DOI OpenURL
Bermúdez, A.; Muñoz-Sola, R.; Pena, F. A nonlinear partial differential system arising in thermoelectricity. (English) Zbl 1107.35060 Eur. J. Appl. Math. 16, No. 6, 683-712 (2005). MSC: 35K50 35K55 78A55 80A22 35Q60 PDF BibTeX XML Cite \textit{A. Bermúdez} et al., Eur. J. Appl. Math. 16, No. 6, 683--712 (2005; Zbl 1107.35060) Full Text: DOI OpenURL
Bermúdez, A.; Rodríguez, R.; Salgado, P. FEM for 3D eddy current problems in bounded domains subject to realistic boundary conditions. An application to metallurgical electrodes. (English) Zbl 1151.78367 Arch. Comput. Methods Eng. 12, No. 1, 67-114 (2005). MSC: 78M10 65N30 78A55 PDF BibTeX XML Cite \textit{A. Bermúdez} et al., Arch. Comput. Methods Eng. 12, No. 1, 67--114 (2005; Zbl 1151.78367) OpenURL
Bermúdez, Alfredo; Rodríguez, Rodolfo; Salgado, Pilar Numerical solution of eddy current problems in bounded domains using realistic boundary conditions. (English) Zbl 1063.78015 Comput. Methods Appl. Mech. Eng. 194, No. 2-5, 411-426 (2005). MSC: 78M10 65N15 65N30 78A25 PDF BibTeX XML Cite \textit{A. Bermúdez} et al., Comput. Methods Appl. Mech. Eng. 194, No. 2--5, 411--426 (2005; Zbl 1063.78015) Full Text: DOI OpenURL
Bermúdez, A.; Bullón, J.; Salgado, P. FE solution of a 3D-thermoelectrical model for metallurgical electrodes. (English) Zbl 1170.78428 Brezzi, Franco (ed.) et al., Numerical mathematics and advanced applications. Proceedings of ENUMATH 2001, the 4th European conference, Ischia, July 2001. Berlin: Springer (ISBN 88-470-0180-3/hbk). 233-242 (2003). Reviewer: Francisco José Pena Brage (Santiago de Compostela) MSC: 78M10 80M10 78A55 PDF BibTeX XML Cite \textit{A. Bermúdez} et al., in: Numerical mathematics and advanced applications. Proceedings of ENUMATH 2001, the 4th European conference, Ischia, July 2001. Berlin: Springer. 233--242 (2003; Zbl 1170.78428) Full Text: DOI OpenURL
Bermúdez, Alfredo; Rodríguez, Rodolfo; Salgado, Pilar Numerical analysis of the electric field formulation of an eddy current problem. (English. Abridged French version) Zbl 1038.78017 C. R., Math., Acad. Sci. Paris 337, No. 5, 359-364 (2003). MSC: 78M10 78A25 PDF BibTeX XML Cite \textit{A. Bermúdez} et al., C. R., Math., Acad. Sci. Paris 337, No. 5, 359--364 (2003; Zbl 1038.78017) Full Text: DOI OpenURL
Bermúdez, Alfredo; Rodríguez, Rodolfo; Salgado, Pilar Modeling and numerical treatment of boundary data in an eddy currents problem. (English. Abridged French version) Zbl 1010.78012 C. R., Math., Acad. Sci. Paris 335, No. 7, 633-638 (2002). MSC: 78M10 65N30 78A35 PDF BibTeX XML Cite \textit{A. Bermúdez} et al., C. R., Math., Acad. Sci. Paris 335, No. 7, 633--638 (2002; Zbl 1010.78012) Full Text: DOI OpenURL
Bermúdez, A.; Pedreira, D. Gómez; Joly, P. A hybrid approach for the computation of guided modes in integrated optics. (English) Zbl 0992.78027 Adv. Comput. Math. 16, No. 2-3, 229-261 (2002). MSC: 78A50 65N30 35P05 PDF BibTeX XML Cite \textit{A. Bermúdez} et al., Adv. Comput. Math. 16, No. 2--3, 229--261 (2002; Zbl 0992.78027) Full Text: DOI OpenURL
Bermúdez, A.; Muñiz, M. C. Numerical solution of a free boundary problem taking place in an electromagnetic casting. (English) Zbl 1010.80006 Math. Models Methods Appl. Sci. 9, No. 9, 1393-1416 (1999). MSC: 80A22 35R35 78A55 78M10 80M10 PDF BibTeX XML Cite \textit{A. Bermúdez} and \textit{M. C. Muñiz}, Math. Models Methods Appl. Sci. 9, No. 9, 1393--1416 (1999; Zbl 1010.80006) Full Text: DOI OpenURL
Bermúdez, Alfredo; Muñoz-Sola, Rafael Existence of solution of a coupled problem arising in the thermoelectrical simulation of electrodes. (English) Zbl 1020.35108 Q. Appl. Math. 57, No. 4, 621-636 (1999). MSC: 35Q60 78A55 35B45 35J65 80A20 PDF BibTeX XML Cite \textit{A. Bermúdez} and \textit{R. Muñoz-Sola}, Q. Appl. Math. 57, No. 4, 621--636 (1999; Zbl 1020.35108) Full Text: DOI OpenURL
Joly, P.; Bermúdez, A.; Pedreira, D. G. Mathematical analysis and numerical validation of a method to compute guided modes in open stratified waveguides. (English) Zbl 1028.78512 DeSanto, John A. (ed.), Mathematical and numerical aspects of wave propagation. Proceedings of the 4th international conference held at Mines in Golden, CO, USA, June 1-5, 1998. Philadelphia, PA: SIAM. Proc. Appl. Math. 612-614 (1998). MSC: 78A55 78M25 PDF BibTeX XML Cite \textit{P. Joly} et al., Proc. Appl. Math. 612--614, 612--614 (1998; Zbl 1028.78512) OpenURL
Bermúdez, Alfredo; Bullón, Javier; Pena, Francisco A finite element method for the thermoelectrical modelling of electrodes. (English) Zbl 0922.65089 Commun. Numer. Methods Eng. 14, No. 6, 581-593 (1998). Reviewer: V.P.Tyagi (Bombay) MSC: 65Z05 35Q60 65N30 78A55 PDF BibTeX XML Cite \textit{A. Bermúdez} et al., Commun. Numer. Methods Eng. 14, No. 6, 581--593 (1998; Zbl 0922.65089) Full Text: DOI OpenURL
Bermúdez, Alfredo; Bullón, Javier; Pena, Francisco Thermoelectrical simulation of electrodes for reduction furnaces. (English) Zbl 0911.65133 Bristeau, M.-O. (ed.) et al., Computational science for the 21st century. Dedicated to Prof. Roland Glowinski on the occasion of his 60th birthday. Symposium, Tours, France, May 5–7, 1997. Chichester: John Wiley & Sons. 471-480 (1997). MSC: 65Z05 35Q60 78A55 65N30 PDF BibTeX XML Cite \textit{A. Bermúdez} et al., in: Computational science for the 21st century. Dedicated to Prof. Roland Glowinski on the occasion of his 60th birthday. Symposium, Tours, France, May 5--7, 1997. Chichester: John Wiley \& Sons. 471--480 (1997; Zbl 0911.65133) OpenURL
Bermúdez, A.; Muñiz, M. C.; Quintela, P. Numerical solution of a three-dimensional thermoelectric problem taking place in an aluminium electrolytic cell. (English) Zbl 0800.76240 Comput. Methods Appl. Mech. Eng. 106, No. 1-2, 129-142 (1993). MSC: 76M10 76T99 78A55 PDF BibTeX XML Cite \textit{A. Bermúdez} et al., Comput. Methods Appl. Mech. Eng. 106, No. 1--2, 129--142 (1993; Zbl 0800.76240) Full Text: DOI OpenURL
Bermúdez, Alfredo; Pedreira, Dolores G. Mathematical analysis of a finite element method without spurious solutions for computation of dielectric waveguides. (English) Zbl 0727.65111 Numer. Math. (to appear). Reviewer: A.Bermúdez (Santiago de Compostela) MSC: 65Z05 65N25 65N30 78M10 35Q60 78A50 35P15 PDF BibTeX XML OpenURL