Yan, David; Pugh, M. C.; Dawson, F. P. Adaptive time-stepping schemes for the solution of the Poisson-Nernst-Planck equations. (English) Zbl 1462.65116 Appl. Numer. Math. 163, 254-269 (2021). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65M06 65M50 78A57 35Q60 PDF BibTeX XML Cite \textit{D. Yan} et al., Appl. Numer. Math. 163, 254--269 (2021; Zbl 1462.65116) Full Text: DOI arXiv OpenURL
Pugh, M. C.; Yan, David; Dawson, F. P. A study of the numerical stability of an ImEx scheme with application to the Poisson-Nernst-Planck equations. (English) Zbl 1467.65085 Appl. Numer. Math. 163, 239-253 (2021). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65M06 65M12 65M50 65F15 78A57 35Q60 PDF BibTeX XML Cite \textit{M. C. Pugh} et al., Appl. Numer. Math. 163, 239--253 (2021; Zbl 1467.65085) Full Text: DOI arXiv OpenURL
Yao, Changhui; Wei, Yifan; Huang, Qiumei Post-processing technique of two-grid algorithm for wave propagation with Debye polarization in nonlinear dielectric materials. (English) Zbl 1446.65121 Appl. Numer. Math. 157, 405-418 (2020). MSC: 65M60 65M06 65N30 65M12 65M55 78A40 78M10 78M20 35Q60 PDF BibTeX XML Cite \textit{C. Yao} et al., Appl. Numer. Math. 157, 405--418 (2020; Zbl 1446.65121) Full Text: DOI OpenURL
Yao, Qingyun; Li, Yi; Wang, Haibing Numerical solutions of the forward and inverse problems arising in diffuse optical tomography. (English) Zbl 1443.78011 Appl. Numer. Math. 154, 70-89 (2020). MSC: 78A46 78A45 92C55 78M15 65M32 65M38 65R20 PDF BibTeX XML Cite \textit{Q. Yao} et al., Appl. Numer. Math. 154, 70--89 (2020; Zbl 1443.78011) Full Text: DOI OpenURL
Du, Zhong; Tian, Bo; Qu, Qi-Xing; Wu, Xiao-Yu; Zhao, Xue-Hui Vector rational and semi-rational rogue waves for the coupled cubic-quintic nonlinear Schrödinger system in a non-Kerr medium. (English) Zbl 1437.35622 Appl. Numer. Math. 153, 179-187 (2020). MSC: 35Q55 35Q51 78A60 37K40 37K35 PDF BibTeX XML Cite \textit{Z. Du} et al., Appl. Numer. Math. 153, 179--187 (2020; Zbl 1437.35622) Full Text: DOI OpenURL
Lin, Aihua; Kuzmina, Anastasiia; Jakobsen, Per Kristen A boundary integral approach to linear and nonlinear transient wave scattering. (English) Zbl 1442.65236 Appl. Numer. Math. 147, 277-300 (2020). MSC: 65M38 65M60 65M06 65M12 78A45 78A60 78M15 78M10 78M20 PDF BibTeX XML Cite \textit{A. Lin} et al., Appl. Numer. Math. 147, 277--300 (2020; Zbl 1442.65236) Full Text: DOI arXiv OpenURL
Huang, Qiumei; Jia, Shanghui; Xu, Fei; Xu, Zhongwen; Yao, Changhui Solvability of wave propagation with Debye polarization in nonlinear dielectric materials and its finite element methods approximation. (English) Zbl 1477.78002 Appl. Numer. Math. 146, 145-164 (2019). MSC: 78A40 35Q60 65N30 78M10 82D45 PDF BibTeX XML Cite \textit{Q. Huang} et al., Appl. Numer. Math. 146, 145--164 (2019; Zbl 1477.78002) Full Text: DOI arXiv OpenURL
Kaplan, Matthew; Nicholls, David P. A nonlinear least squares framework for periodic grating identification with a high-order perturbation of surfaces implementation. (English) Zbl 1421.78027 Appl. Numer. Math. 143, 20-34 (2019). MSC: 78M15 78A46 78A45 65N21 65N38 78M50 65K10 35R30 65N55 35Q60 PDF BibTeX XML Cite \textit{M. Kaplan} and \textit{D. P. Nicholls}, Appl. Numer. Math. 143, 20--34 (2019; Zbl 1421.78027) Full Text: DOI OpenURL
Liu, Bin; Li, Lu; Malomed, Boris A. Stability band structure for periodic states in periodic potentials. (English) Zbl 1420.35367 Appl. Numer. Math. 141, 44-53 (2019). MSC: 35Q55 78A50 78A60 35B35 65N25 65N06 PDF BibTeX XML Cite \textit{B. Liu} et al., Appl. Numer. Math. 141, 44--53 (2019; Zbl 1420.35367) Full Text: DOI arXiv OpenURL
Wang, Zhoufeng; Guo, Rui A posteriori error analysis for the scattering by obstacles in a homogeneous chiral environment. (English) Zbl 1406.65122 Appl. Numer. Math. 135, 246-263 (2019). MSC: 65N30 65N15 78A45 78M10 65N50 35Q60 PDF BibTeX XML Cite \textit{Z. Wang} and \textit{R. Guo}, Appl. Numer. Math. 135, 246--263 (2019; Zbl 1406.65122) Full Text: DOI OpenURL
Ma, Yunyun; Ma, Fuming A projection method with regularization for Cauchy problem of the time-harmonic Maxwell equations. (English) Zbl 1404.65235 Appl. Numer. Math. 129, 71-82 (2018). MSC: 65N20 35Q61 35R25 65J20 35B40 65K10 78M50 78A46 PDF BibTeX XML Cite \textit{Y. Ma} and \textit{F. Ma}, Appl. Numer. Math. 129, 71--82 (2018; Zbl 1404.65235) Full Text: DOI OpenURL
Hazra, Arijit; Lube, Gert; Raumer, Hans-Georg Numerical simulation of Bloch equations for dynamic magnetic resonance imaging. (English) Zbl 1378.78033 Appl. Numer. Math. 123, 241-255 (2018). MSC: 78M10 78A25 65N40 65M60 65L06 92C55 78M20 PDF BibTeX XML Cite \textit{A. Hazra} et al., Appl. Numer. Math. 123, 241--255 (2018; Zbl 1378.78033) Full Text: DOI arXiv OpenURL
Vass, József; Krylov, Sergey N. A fast stable discretization of the constant-convection-diffusion-reaction equations of kinetic capillary electrophoresis (KCE). (English) Zbl 1375.65116 Appl. Numer. Math. 122, 82-91 (2017). MSC: 65M06 78A35 35K57 65M12 65M15 35Q60 PDF BibTeX XML Cite \textit{J. Vass} and \textit{S. N. Krylov}, Appl. Numer. Math. 122, 82--91 (2017; Zbl 1375.65116) Full Text: DOI arXiv OpenURL
Hofmann, Michael; Nestler, Franziska; Pippig, Michael NFFT based Ewald summation for electrostatic systems with charges and dipoles. (English) Zbl 1376.78002 Appl. Numer. Math. 122, 39-65 (2017). MSC: 78A30 78A35 65T50 78A50 81V70 78M25 65R10 81V55 PDF BibTeX XML Cite \textit{M. Hofmann} et al., Appl. Numer. Math. 122, 39--65 (2017; Zbl 1376.78002) Full Text: DOI OpenURL
Ferreira, J. A.; Jordão, D.; Pinto, L. Second order approximations for kinetic and potential energies in Maxwell’s wave equations. (English) Zbl 1372.78016 Appl. Numer. Math. 120, 125-140 (2017). MSC: 78M10 78M20 65M60 78A40 65M06 PDF BibTeX XML Cite \textit{J. A. Ferreira} et al., Appl. Numer. Math. 120, 125--140 (2017; Zbl 1372.78016) Full Text: DOI Link OpenURL
Hasanov, Alemdar; Mukanova, Balgaisha Fourier collocation algorithm for identification of a spacewise dependent source in wave equation from Neumann-type measured data. (English) Zbl 1353.65099 Appl. Numer. Math. 111, 49-63 (2017). MSC: 65M32 35L05 65M70 35R30 78A55 PDF BibTeX XML Cite \textit{A. Hasanov} and \textit{B. Mukanova}, Appl. Numer. Math. 111, 49--63 (2017; Zbl 1353.65099) Full Text: DOI OpenURL
Klibanov, Michael V.; Nguyen, Loc H.; Pan, Kejia Nanostructures imaging via numerical solution of a 3-D inverse scattering problem without the phase information. (English) Zbl 1352.78008 Appl. Numer. Math. 110, 190-203 (2016). MSC: 78A46 92C55 35J05 65N21 78A45 44A12 78M50 35R30 PDF BibTeX XML Cite \textit{M. V. Klibanov} et al., Appl. Numer. Math. 110, 190--203 (2016; Zbl 1352.78008) Full Text: DOI arXiv OpenURL
Kordy, M.; Cherkaev, E.; Wannamaker, P. Adaptive model order reduction for the Jacobian calculation in inverse multi-frequency problem for Maxwell’s equations. (English) Zbl 1356.78083 Appl. Numer. Math. 109, 1-18 (2016). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 78A46 78M34 65F10 65N21 PDF BibTeX XML Cite \textit{M. Kordy} et al., Appl. Numer. Math. 109, 1--18 (2016; Zbl 1356.78083) Full Text: DOI OpenURL
Nicholls, David P.; Tammali, Venu A high-order perturbation of surfaces (HOPS) approach to Fokas integral equations: vector electromagnetic scattering by periodic crossed gratings. (English) Zbl 1342.78044 Appl. Numer. Math. 101, 1-17 (2016). MSC: 78M25 65R20 78A45 PDF BibTeX XML Cite \textit{D. P. Nicholls} and \textit{V. Tammali}, Appl. Numer. Math. 101, 1--17 (2016; Zbl 1342.78044) Full Text: DOI OpenURL
Nguyen, Dinh-Liem A volume integral equation method for periodic scattering problems for anisotropic Maxwell’s equations. (English) Zbl 1329.65318 Appl. Numer. Math. 98, 59-78 (2015). MSC: 65R20 45A05 35P25 35Q61 78A45 65T50 PDF BibTeX XML Cite \textit{D.-L. Nguyen}, Appl. Numer. Math. 98, 59--78 (2015; Zbl 1329.65318) Full Text: DOI OpenURL
Andreev, R.; Scherzer, O.; Zulehner, W. Simultaneous optical flow and source estimation: space-time discretization and preconditioning. (English) Zbl 1321.65103 Appl. Numer. Math. 96, 72-81 (2015). MSC: 65K10 49N10 49J15 65F05 78A10 PDF BibTeX XML Cite \textit{R. Andreev} et al., Appl. Numer. Math. 96, 72--81 (2015; Zbl 1321.65103) Full Text: DOI OpenURL
Boubendir, Yassine; Bruno, Oscar; Levadoux, David; Turc, Catalin Integral equations requiring small numbers of Krylov-subspace iterations for two-dimensional smooth penetrable scattering problems. (English) Zbl 1320.78016 Appl. Numer. Math. 95, 82-98 (2015). MSC: 78M15 76M15 65N38 76Q05 78A45 PDF BibTeX XML Cite \textit{Y. Boubendir} et al., Appl. Numer. Math. 95, 82--98 (2015; Zbl 1320.78016) Full Text: DOI arXiv OpenURL
Sofronov, I. L.; Dovgilovich, L.; Krasnov, N. Application of transparent boundary conditions to high-order finite-difference schemes for the wave equation in waveguides. (English) Zbl 1312.78010 Appl. Numer. Math. 93, 195-205 (2015). MSC: 78M20 78A50 PDF BibTeX XML Cite \textit{I. L. Sofronov} et al., Appl. Numer. Math. 93, 195--205 (2015; Zbl 1312.78010) Full Text: DOI OpenURL
Epov, M. I.; Shurina, E. P.; Shtabel, N. V. The mathematical modeling of the electric field in the media with anisotropic objects. (English) Zbl 1325.78009 Appl. Numer. Math. 93, 164-175 (2015). MSC: 78M10 65N30 78A48 PDF BibTeX XML Cite \textit{M. I. Epov} et al., Appl. Numer. Math. 93, 164--175 (2015; Zbl 1325.78009) Full Text: DOI OpenURL
Duru, Kenneth; Kreiss, Gunilla Efficient and stable perfectly matched layer for CEM. (English) Zbl 1291.78059 Appl. Numer. Math. 76, 34-47 (2014). MSC: 78M20 35Q61 78A25 65M06 PDF BibTeX XML Cite \textit{K. Duru} and \textit{G. Kreiss}, Appl. Numer. Math. 76, 34--47 (2014; Zbl 1291.78059) Full Text: DOI OpenURL
Park, Won-Kwang Analysis of a multi-frequency electromagnetic imaging functional for thin, crack-like electromagnetic inclusions. (English) Zbl 1302.94011 Appl. Numer. Math. 77, 31-42 (2014). MSC: 94A08 78A25 PDF BibTeX XML Cite \textit{W.-K. Park}, Appl. Numer. Math. 77, 31--42 (2014; Zbl 1302.94011) Full Text: DOI arXiv OpenURL
Rapetti, Francesca; Rousseaux, Germain On quasi-static models hidden in Maxwell’s equations. (English) Zbl 1291.78019 Appl. Numer. Math. 79, 92-106 (2014). MSC: 78A25 78A30 78M35 94C05 PDF BibTeX XML Cite \textit{F. Rapetti} and \textit{G. Rousseaux}, Appl. Numer. Math. 79, 92--106 (2014; Zbl 1291.78019) Full Text: DOI OpenURL
Chen, Qiang; Monk, Peter Time domain CFIEs for electromagnetic scattering problems. (English) Zbl 1291.78039 Appl. Numer. Math. 79, 62-78 (2014). MSC: 78A45 78M10 78M15 65N38 35J05 44A10 78M25 42A38 65M15 PDF BibTeX XML Cite \textit{Q. Chen} and \textit{P. Monk}, Appl. Numer. Math. 79, 62--78 (2014; Zbl 1291.78039) Full Text: DOI OpenURL
Imperiale, Sébastien; Joly, Patrick Mathematical modeling of electromagnetic wave propagation in heterogeneous lossy coaxial cables with variable cross section. (English) Zbl 1291.78032 Appl. Numer. Math. 79, 42-61 (2014). MSC: 78A40 78M35 78M40 PDF BibTeX XML Cite \textit{S. Imperiale} and \textit{P. Joly}, Appl. Numer. Math. 79, 42--61 (2014; Zbl 1291.78032) Full Text: DOI Link OpenURL
Bonnet-Ben Dhia, A.-S.; Chesnel, L.; Ciarlet, P. jun. Two-dimensional Maxwell’s equations with sign-changing coefficients. (English) Zbl 1291.78018 Appl. Numer. Math. 79, 29-41 (2014). MSC: 78A25 35J05 78A48 78A50 78A60 82D35 PDF BibTeX XML Cite \textit{A. S. Bonnet-Ben Dhia} et al., Appl. Numer. Math. 79, 29--41 (2014; Zbl 1291.78018) Full Text: DOI OpenURL
Rathsfeld, Andreas Shape derivatives for the scattering by biperiodic gratings. (English) Zbl 1310.78007 Appl. Numer. Math. 72, 19-32 (2013). Reviewer: Vladimir Čadež (Beograd) MSC: 78A45 35Q61 78M50 65K10 65F05 78A46 PDF BibTeX XML Cite \textit{A. Rathsfeld}, Appl. Numer. Math. 72, 19--32 (2013; Zbl 1310.78007) Full Text: DOI OpenURL
Norton, R. A.; Scheichl, R. Planewave expansion methods for photonic crystal fibres. (English) Zbl 1269.82009 Appl. Numer. Math. 63, 88-104 (2013). Reviewer: Shoukry S. Hassan (Bahrain) MSC: 82-08 82D25 81V80 78A60 65F15 PDF BibTeX XML Cite \textit{R. A. Norton} and \textit{R. Scheichl}, Appl. Numer. Math. 63, 88--104 (2013; Zbl 1269.82009) Full Text: DOI Link OpenURL
Coyle, Joe Overlapping solution finite element method-higher order approximation and implementation. (English) Zbl 1266.78029 Appl. Numer. Math. 62, No. 12, 1910-1924 (2012). Reviewer: Martin Reißel (Aachen) MSC: 78M10 78A45 65N30 PDF BibTeX XML Cite \textit{J. Coyle}, Appl. Numer. Math. 62, No. 12, 1910--1924 (2012; Zbl 1266.78029) Full Text: DOI OpenURL
Ditkowski, A.; Harness, Y. Wave scattering by randomly shaped objects. (English) Zbl 1253.78022 Appl. Numer. Math. 62, No. 12, 1819-1836 (2012). MSC: 78A45 78A48 35Q61 35J05 78M25 65N30 65N55 65N75 PDF BibTeX XML Cite \textit{A. Ditkowski} and \textit{Y. Harness}, Appl. Numer. Math. 62, No. 12, 1819--1836 (2012; Zbl 1253.78022) Full Text: DOI OpenURL
Wang, Haibing; Nakamura, Gen The integral equation method for electromagnetic scattering problem at oblique incidence. (English) Zbl 1241.78016 Appl. Numer. Math. 62, No. 7, 860-873 (2012). MSC: 78A45 78M15 35J05 45B05 35Q60 PDF BibTeX XML Cite \textit{H. Wang} and \textit{G. Nakamura}, Appl. Numer. Math. 62, No. 7, 860--873 (2012; Zbl 1241.78016) Full Text: DOI OpenURL
Huang, Jianguo; Zhang, Shangyou A divergence-free finite element method for a type of 3D Maxwell equations. (English) Zbl 1241.78043 Appl. Numer. Math. 62, No. 6, 802-813 (2012). MSC: 78M10 78A30 35Q61 PDF BibTeX XML Cite \textit{J. Huang} and \textit{S. Zhang}, Appl. Numer. Math. 62, No. 6, 802--813 (2012; Zbl 1241.78043) Full Text: DOI OpenURL
Darrigrand, E.; Monk, P. Combining the ultra-weak variational formulation and the multilevel fast multipole method. (English) Zbl 1241.78049 Appl. Numer. Math. 62, No. 6, 709-719 (2012). MSC: 78M30 78M16 35Q61 78A45 PDF BibTeX XML Cite \textit{E. Darrigrand} and \textit{P. Monk}, Appl. Numer. Math. 62, No. 6, 709--719 (2012; Zbl 1241.78049) Full Text: DOI HAL OpenURL
Qin, Hai-Hua; Colton, David The inverse scattering problem for cavities. (English) Zbl 1241.78027 Appl. Numer. Math. 62, No. 6, 699-708 (2012). MSC: 78A46 35J05 35R30 78M50 PDF BibTeX XML Cite \textit{H.-H. Qin} and \textit{D. Colton}, Appl. Numer. Math. 62, No. 6, 699--708 (2012; Zbl 1241.78027) 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
Hooghiemstra, P. B.; van der Heul, D. R.; Vuik, C. Application of the shifted-Laplace preconditioner for iterative solution of a higher order finite element discretisation of the vector wave equation: first experiences. (English) Zbl 1203.78044 Appl. Numer. Math. 60, No. 11, 1157-1170 (2010). MSC: 78M10 78A45 65F10 65F08 35Q61 PDF BibTeX XML Cite \textit{P. B. Hooghiemstra} et al., Appl. Numer. Math. 60, No. 11, 1157--1170 (2010; Zbl 1203.78044) Full Text: DOI OpenURL
Parodi, Mauro; Gaggero, Mauro; Storace, Marco Piecewise linear approximations of multivariate functions: A multiresolution-based compression algorithm suitable for circuit implementation. (English) Zbl 1195.65231 Appl. Numer. Math. 60, No. 9, 924-933 (2010). MSC: 65T60 78A55 94C05 PDF BibTeX XML Cite \textit{M. Parodi} et al., Appl. Numer. Math. 60, No. 9, 924--933 (2010; Zbl 1195.65231) Full Text: DOI OpenURL
Bespalov, Alexei; Heuer, Norbert The hp-BEM with quasi-uniform meshes for the electric field integral equation on polyhedral surfaces: A priori error analysis. (English) Zbl 1204.78030 Appl. Numer. Math. 60, No. 7, 705-718 (2010). Reviewer: Johannes Elschner (Berlin) MSC: 78M15 65N15 78A25 78A45 PDF BibTeX XML Cite \textit{A. Bespalov} and \textit{N. Heuer}, Appl. Numer. Math. 60, No. 7, 705--718 (2010; Zbl 1204.78030) Full Text: DOI arXiv OpenURL
Geranmayeh, Amir; Ackermann, Wolfgang; Weiland, Thomas Temporal discretization choices for stable boundary element methods in electromagnetic scattering problems. (English) Zbl 1211.78032 Appl. Numer. Math. 59, No. 11, 2751-2773 (2009). Reviewer: Francisco José Pena Brage (Santiago de Compostela) MSC: 78M15 78A45 PDF BibTeX XML Cite \textit{A. Geranmayeh} et al., Appl. Numer. Math. 59, No. 11, 2751--2773 (2009; Zbl 1211.78032) Full Text: DOI OpenURL
Fliss, Sonia; Joly, Patrick Exact boundary conditions for time-harmonic wave propagation in locally perturbed periodic media. (English) Zbl 1165.78311 Appl. Numer. Math. 59, No. 9, 2155-2178 (2009). MSC: 78A50 78A40 35J05 78M25 PDF BibTeX XML Cite \textit{S. Fliss} and \textit{P. Joly}, Appl. Numer. Math. 59, No. 9, 2155--2178 (2009; Zbl 1165.78311) Full Text: DOI OpenURL
Chandler-Wilde, Simon N.; Monk, Peter The PML for rough surface scattering. (English) Zbl 1419.78007 Appl. Numer. Math. 59, No. 9, 2131-2154 (2009). MSC: 78A45 65M12 PDF BibTeX XML Cite \textit{S. N. Chandler-Wilde} and \textit{P. Monk}, Appl. Numer. Math. 59, No. 9, 2131--2154 (2009; Zbl 1419.78007) Full Text: DOI Link OpenURL
Alonso Rodríguez, Ana; Valli, Alberto A FEM-BEM approach for electro-magnetostatics and time-harmonic eddy-current problems. (English) Zbl 1165.78302 Appl. Numer. Math. 59, No. 9, 2036-2049 (2009). MSC: 78A30 78M10 78M15 PDF BibTeX XML Cite \textit{A. Alonso Rodríguez} and \textit{A. Valli}, Appl. Numer. Math. 59, No. 9, 2036--2049 (2009; Zbl 1165.78302) Full Text: DOI OpenURL
Lew, S.; Wolters, C. H.; Dierkes, T.; Röer, C.; MacLeod, R. S. Accuracy and run-time comparison for different potential approaches and iterative solvers in finite element method based EEG source analysis. (English) Zbl 1165.92029 Appl. Numer. Math. 59, No. 8, 1970-1988 (2009). MSC: 92C55 78A70 65N30 PDF BibTeX XML Cite \textit{S. Lew} et al., Appl. Numer. Math. 59, No. 8, 1970--1988 (2009; Zbl 1165.92029) Full Text: DOI Link OpenURL
Xu, Xianmin; Li, Zhiping Non-conforming finite element and artificial boundary in multi-atomic Young measure approximation for micromagnetics. (English) Zbl 1175.78025 Appl. Numer. Math. 59, No. 5, 920-937 (2009). Reviewer: Johannes Elschner (Berlin) MSC: 78M10 78A30 49J45 65N30 PDF BibTeX XML Cite \textit{X. Xu} and \textit{Z. Li}, Appl. Numer. Math. 59, No. 5, 920--937 (2009; Zbl 1175.78025) Full Text: DOI OpenURL
Jakubik, Peter; Potthast, Roland Testing the integrity of some cavity - the Cauchy problem and the range test. (English) Zbl 1151.78011 Appl. Numer. Math. 58, No. 6, 899-914 (2008). MSC: 78A46 78A55 PDF BibTeX XML Cite \textit{P. Jakubik} and \textit{R. Potthast}, Appl. Numer. Math. 58, No. 6, 899--914 (2008; Zbl 1151.78011) Full Text: DOI OpenURL
Haber, Eldad A parallel method for large scale time domain electromagnetic inverse problems. (English) Zbl 1134.78014 Appl. Numer. Math. 58, No. 4, 422-434 (2008). MSC: 78M10 78A30 65M32 65Y05 PDF BibTeX XML Cite \textit{E. Haber}, Appl. Numer. Math. 58, No. 4, 422--434 (2008; Zbl 1134.78014) Full Text: DOI Link 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
Wu, Jiming; Wang, Yingxi; Li, Wen; Sun, Weiwei Toeplitz-type approximations to the Hadamard integral operator and their applications to electromagnetic cavity problems. (English) Zbl 1130.78009 Appl. Numer. Math. 58, No. 2, 101-121 (2008). MSC: 78A45 45E10 65R20 78M25 PDF BibTeX XML Cite \textit{J. Wu} et al., Appl. Numer. Math. 58, No. 2, 101--121 (2008; Zbl 1130.78009) Full Text: DOI OpenURL
Nkemzi, Boniface Optimal convergence recovery for the Fourier-finite-element approximation of Maxwell’s equations in nonsmooth axisymmetric domains. (English) Zbl 1125.65096 Appl. Numer. Math. 57, No. 9, 989-1007 (2007). Reviewer: Ana M. Alonso Rodriguez (Povo) MSC: 65N12 65N30 65N15 35Q60 78A25 78M10 PDF BibTeX XML Cite \textit{B. Nkemzi}, Appl. Numer. Math. 57, No. 9, 989--1007 (2007; Zbl 1125.65096) Full Text: DOI OpenURL
Deng, Shaozhong Numerical simulation of optical coupling and light propagation in coupled optical resonators with size disorder. (English) Zbl 1190.78008 Appl. Numer. Math. 57, No. 5-7, 475-485 (2007). MSC: 78A60 65M70 78A50 PDF BibTeX XML Cite \textit{S. Deng}, Appl. Numer. Math. 57, No. 5--7, 475--485 (2007; Zbl 1190.78008) Full Text: DOI OpenURL
Clausel, M.; Duruflé, M.; Joly, P.; Tordeux, S. A mathematical analysis of the resonance of the finite thin slots. (English) Zbl 1237.35033 Appl. Numer. Math. 56, No. 10-11, 1432-1449 (2006). MSC: 35J05 35B40 65N15 76Q05 78A60 PDF BibTeX XML Cite \textit{M. Clausel} et al., Appl. Numer. Math. 56, No. 10--11, 1432--1449 (2006; Zbl 1237.35033) Full Text: DOI Link OpenURL
Boffi, Daniele; Gastaldi, Lucia Interpolation estimates for edge finite elements and application to band gap computation. (English) Zbl 1100.65088 Appl. Numer. Math. 56, No. 10-11, 1283-1292 (2006). MSC: 65N15 65N30 35Q60 78A25 78M10 PDF BibTeX XML Cite \textit{D. Boffi} and \textit{L. Gastaldi}, Appl. Numer. Math. 56, No. 10--11, 1283--1292 (2006; Zbl 1100.65088) Full Text: DOI OpenURL
Baňas, Ľubomír; Slodička, Marián Error estimates for Landau-Lifshitz-Gilbert equation with magnetostriction. (English) Zbl 1097.82031 Appl. Numer. Math. 56, No. 8, 1019-1039 (2006). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 82D40 78A25 PDF BibTeX XML Cite \textit{Ľ. Baňas} and \textit{M. Slodička}, Appl. Numer. Math. 56, No. 8, 1019--1039 (2006; Zbl 1097.82031) Full Text: DOI OpenURL
Fraguela, A.; Oliveros, J.; Morín, M.; Cervantes, L. Inverse electroencephalography for cortical sources. (English) Zbl 1070.92005 Appl. Numer. Math. 55, No. 2, 191-203 (2005). MSC: 92C20 92C55 35Q92 78A70 35R25 PDF BibTeX XML Cite \textit{A. Fraguela} et al., Appl. Numer. Math. 55, No. 2, 191--203 (2005; Zbl 1070.92005) Full Text: DOI OpenURL
Davies, Penny J.; Duncan, Dugald B.; Zubik-Kowal, Barbara The stability of numerical approximations of the time domain current induced on thin wire and strip antennas. (English) Zbl 1082.78004 Appl. Numer. Math. 55, No. 1, 48-68 (2005). Reviewer: Ömer Kavaklioglu (Izmir) MSC: 78A45 78A40 78A50 78M10 35Q60 45A05 PDF BibTeX XML Cite \textit{P. J. Davies} et al., Appl. Numer. Math. 55, No. 1, 48--68 (2005; Zbl 1082.78004) Full Text: DOI OpenURL
Li, Zhiping; Wu, Xiaonan Multi-atomic Young measure and artificial boundary in approximation of micromagnetics. (English) Zbl 1061.78015 Appl. Numer. Math. 51, No. 1, 69-88 (2004). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 78M10 35Q60 78A30 78M30 PDF BibTeX XML Cite \textit{Z. Li} and \textit{X. Wu}, Appl. Numer. Math. 51, No. 1, 69--88 (2004; Zbl 1061.78015) Full Text: DOI Link OpenURL
Guilpin, Christian; Gacougnolle, Jacques; Simon, Yvan The \(\varepsilon\)-algorithm allows to detect Dirac delta functions. (English) Zbl 1036.65003 Appl. Numer. Math. 48, No. 1, 27-40 (2004). MSC: 65B05 78A30 46F10 45E10 65R20 PDF BibTeX XML Cite \textit{C. Guilpin} et al., Appl. Numer. Math. 48, No. 1, 27--40 (2004; Zbl 1036.65003) Full Text: DOI OpenURL
Chalhoub, Ezzat S.; de Campos Velho, Haroldo F. Multispectral reconstruction of bioluminescence term in natural waters. (English) Zbl 1040.78009 Appl. Numer. Math. 47, No. 3-4, 365-376 (2003). MSC: 78A46 92D40 PDF BibTeX XML Cite \textit{E. S. Chalhoub} and \textit{H. F. de Campos Velho}, Appl. Numer. Math. 47, No. 3--4, 365--376 (2003; Zbl 1040.78009) Full Text: DOI OpenURL
Birgin, Ernesto G.; Chambouleyron, Ivan E.; Martínez, José Mario; Ventura, Sergio D. Estimation of optical parameters of very thin films. (English) Zbl 1024.78507 Appl. Numer. Math. 47, No. 2, 109-119 (2003). MSC: 78A48 78M50 PDF BibTeX XML Cite \textit{E. G. Birgin} et al., Appl. Numer. Math. 47, No. 2, 109--119 (2003; Zbl 1024.78507) Full Text: DOI OpenURL
Slodička, Marián; Cimrák, Ivan Numerical study of nonlinear ferromagnetic materials. (English) Zbl 1027.78002 Appl. Numer. Math. 46, No. 1, 95-111 (2003). Reviewer: Messoud Efendiev (Berlin) MSC: 78A25 78M25 PDF BibTeX XML Cite \textit{M. Slodička} and \textit{I. Cimrák}, Appl. Numer. Math. 46, No. 1, 95--111 (2003; Zbl 1027.78002) Full Text: DOI OpenURL
Pulch, R.; Günther, M. A method of characteristics for solving multirate partial differential equations in radio frequency application. (English) Zbl 0999.65099 Appl. Numer. Math. 42, No. 1-3, 397-409 (2002). MSC: 65M25 78A55 78M25 35L60 34A34 PDF BibTeX XML Cite \textit{R. Pulch} and \textit{M. Günther}, Appl. Numer. Math. 42, No. 1--3, 397--409 (2002; Zbl 0999.65099) Full Text: DOI OpenURL
Balac, S.; Caloz, G. Induced magnetic field computations using a boundary integral formulation. (English) Zbl 0998.78012 Appl. Numer. Math. 41, No. 3, 345-367 (2002). MSC: 78M15 78A30 PDF BibTeX XML Cite \textit{S. Balac} and \textit{G. Caloz}, Appl. Numer. Math. 41, No. 3, 345--367 (2002; Zbl 0998.78012) Full Text: DOI OpenURL
Bailey, C.; Lu, H.; Wheeler, D. Computational modeling techniques for reliability of electronic components on printed circuit boards. (English) Zbl 1002.78521 Appl. Numer. Math. 40, No. 1-2, 101-117 (2002). MSC: 78A55 PDF BibTeX XML Cite \textit{C. Bailey} et al., Appl. Numer. Math. 40, No. 1--2, 101--117 (2002; Zbl 1002.78521) Full Text: DOI OpenURL
Retamoso, Mário R.; Vilhena, Marco Túlio; de Campos Velho, Haroldo F.; Ramos, Fernando M. Estimation of boundary condition in hydrologic optics. (English) Zbl 0987.78003 Appl. Numer. Math. 40, No. 1-2, 87-100 (2002). MSC: 78A10 78M50 86A05 PDF BibTeX XML Cite \textit{M. R. Retamoso} et al., Appl. Numer. Math. 40, No. 1--2, 87--100 (2002; Zbl 0987.78003) Full Text: DOI OpenURL
Raha, Soumyendu; Petzold, Linda R. Constraint partitioning for structure in path-constrained dynamic optimization problems. (English) Zbl 0989.65083 Appl. Numer. Math. 39, No. 1, 105-126 (2001). Reviewer: Kevin Burrage (Brisbane) MSC: 65L80 78A55 34A09 70E60 PDF BibTeX XML Cite \textit{S. Raha} and \textit{L. R. Petzold}, Appl. Numer. Math. 39, No. 1, 105--126 (2001; Zbl 0989.65083) Full Text: DOI OpenURL
Laminie, J.; Mefire, S. M. Three-dimensional computation of a magnetic field by mixed finite elements and boundary elements. (English) Zbl 1129.78303 Appl. Numer. Math. 35, No. 3, 221-244 (2000). MSC: 78A30 78M10 PDF BibTeX XML Cite \textit{J. Laminie} and \textit{S. M. Mefire}, Appl. Numer. Math. 35, No. 3, 221--244 (2000; Zbl 1129.78303) Full Text: DOI OpenURL
Ryaben’kii, Victor S.; Sofronov, Ivan L. Difference potentials for the Helmholtz equation in exterior domains. (English) Zbl 0964.65118 Appl. Numer. Math. 33, No. 1-4, 533-540 (2000). MSC: 65N06 35J05 78A45 78M20 PDF BibTeX XML Cite \textit{V. S. Ryaben'kii} and \textit{I. L. Sofronov}, Appl. Numer. Math. 33, No. 1--4, 533--540 (2000; Zbl 0964.65118) Full Text: DOI OpenURL
Petropoulos, P. G. Reflectionless sponge layers for the numerical solution of Maxwell’s equations in cylindrical and spherical coordinates. (English) Zbl 0973.78030 Appl. Numer. Math. 33, No. 1-4, 517-524 (2000). MSC: 78M25 78A25 PDF BibTeX XML Cite \textit{P. G. Petropoulos}, Appl. Numer. Math. 33, No. 1--4, 517--524 (2000; Zbl 0973.78030) Full Text: DOI OpenURL
Heuer, Norbert Schwarz method for systems of boundary integral equations. (English) Zbl 0964.65138 Appl. Numer. Math. 33, No. 1-4, 447-453 (2000). MSC: 65N38 65F10 65F35 35Q60 78A25 78M15 PDF BibTeX XML Cite \textit{N. Heuer}, Appl. Numer. Math. 33, No. 1--4, 447--453 (2000; Zbl 0964.65138) Full Text: DOI OpenURL
Yang, B.; Hesthaven, J. S. Multidomain pseudospectral computation of Maxwell’s equations in 3-D general curvilinear coordinates. (English) Zbl 0973.78006 Appl. Numer. Math. 33, No. 1-4, 281-289 (2000). MSC: 78A25 78M25 PDF BibTeX XML Cite \textit{B. Yang} and \textit{J. S. Hesthaven}, Appl. Numer. Math. 33, No. 1--4, 281--289 (2000; Zbl 0973.78006) Full Text: DOI OpenURL
Dinesen, P. G.; Hesthaven, J. S.; Lynov, J. P. A pseudospectral collocation time-domain method for diffractive optics. (English) Zbl 0973.78013 Appl. Numer. Math. 33, No. 1-4, 199-206 (2000). MSC: 78A45 78M25 78A10 PDF BibTeX XML Cite \textit{P. G. Dinesen} et al., Appl. Numer. Math. 33, No. 1--4, 199--206 (2000; Zbl 0973.78013) Full Text: DOI OpenURL
Yefet, A.; Turkel, E. Fourth order compact implicit method for the Maxwell equations with discontinuous coefficients. (English) Zbl 0964.65099 Appl. Numer. Math. 33, No. 1-4, 125-134 (2000). MSC: 65M06 78A25 78M20 35R05 35Q60 65M12 65M15 PDF BibTeX XML Cite \textit{A. Yefet} and \textit{E. Turkel}, Appl. Numer. Math. 33, No. 1--4, 125--134 (2000; Zbl 0964.65099) Full Text: DOI OpenURL
Turkel, E.; Yefet, A. On the construction of a high order difference scheme for complex domains in a Cartesian grid. (English) Zbl 0964.65098 Appl. Numer. Math. 33, No. 1-4, 113-124 (2000). MSC: 65M06 78A25 78M20 65M12 65M15 35Q60 PDF BibTeX XML Cite \textit{E. Turkel} and \textit{A. Yefet}, Appl. Numer. Math. 33, No. 1--4, 113--124 (2000; Zbl 0964.65098) Full Text: DOI OpenURL
Davies, Penny J. A stability analysis of a time marching scheme for the general surface electric field integral equation. (English) Zbl 0930.65141 Appl. Numer. Math. 27, No. 1, 33-57 (1998). Reviewer: Nikolay Yakovlevich Tikhonenko (Odessa) MSC: 65R20 45E10 78A45 35Q60 78A25 78M15 PDF BibTeX XML Cite \textit{P. J. Davies}, Appl. Numer. Math. 27, No. 1, 33--57 (1998; Zbl 0930.65141) Full Text: DOI OpenURL
Kurgan, E. A boundary element solution of the inhomogeneous magnetostatic problems. (English) Zbl 0924.65114 Appl. Numer. Math. 28, No. 2-4, 343-358 (1998). Reviewer: V.Burjan (Praha) MSC: 65Z05 78M15 78A30 65N38 PDF BibTeX XML Cite \textit{E. Kurgan}, Appl. Numer. Math. 28, No. 2--4, 343--358 (1998; Zbl 0924.65114) Full Text: DOI OpenURL
Abarbanel, Saul; Gottlieb, David On the construction and analysis of absorbing layers in CEM. (English) Zbl 0924.35160 Appl. Numer. Math. 27, No. 4, 331-340 (1998). MSC: 35Q60 65Z05 78A40 PDF BibTeX XML Cite \textit{S. Abarbanel} and \textit{D. Gottlieb}, Appl. Numer. Math. 27, No. 4, 331--340 (1998; Zbl 0924.35160) Full Text: DOI OpenURL
Hagstrom, Thomas; Hariharan, S. I. A formulation of asymptotic and exact boundary conditions using local operators. (English) Zbl 0924.35167 Appl. Numer. Math. 27, No. 4, 403-416 (1998). MSC: 35Q60 65N99 78A40 78M99 PDF BibTeX XML Cite \textit{T. Hagstrom} and \textit{S. I. Hariharan}, Appl. Numer. Math. 27, No. 4, 403--416 (1998; Zbl 0924.35167) Full Text: DOI OpenURL
Bonnet, Frédéric; Poupaud, Frédéric Berenger absorbing boundary condition with time finite-volume scheme for triangular meshes. (English) Zbl 0888.65132 Appl. Numer. Math. 25, No. 4, 333-354 (1997). Reviewer: J.Vaníček (Praha) MSC: 65Z05 65M06 35Q60 78A45 PDF BibTeX XML Cite \textit{F. Bonnet} and \textit{F. Poupaud}, Appl. Numer. Math. 25, No. 4, 333--354 (1997; Zbl 0888.65132) Full Text: DOI OpenURL
Haase, G. Hierarchical extension operators plus smoothing in domain decomposition preconditioners. (English) Zbl 0878.65106 Appl. Numer. Math. 23, No. 3, 327-346 (1997). Reviewer: G.Hedstrom (Livermore) MSC: 65N55 65N30 65F10 65F35 35J25 78A25 PDF BibTeX XML Cite \textit{G. Haase}, Appl. Numer. Math. 23, No. 3, 327--346 (1997; Zbl 0878.65106) Full Text: DOI OpenURL
Molenaar, J. Adaptive multigrid applied to a bipolar transistor problem. (English) Zbl 0822.65114 Appl. Numer. Math. 17, No. 1, 61-83 (1995). Reviewer: Ll.G.Chambers (Bangor) MSC: 65Z05 65N30 65N55 35Q60 78A55 PDF BibTeX XML Cite \textit{J. Molenaar}, Appl. Numer. Math. 17, No. 1, 61--83 (1995; Zbl 0822.65114) Full Text: DOI OpenURL
Johnson, Christopher R.; MacLeod, Robert S. Nonuniform spatial mesh adaptation using a posteriori error estimates: Applications to forward and inverse problems. (English) Zbl 0803.92014 Appl. Numer. Math. 14, No. 1-3, 311-326 (1994). Reviewer: S.Handrock-Meyer (Berlin) MSC: 92C50 65Z05 78A70 65N50 65N15 PDF BibTeX XML Cite \textit{C. R. Johnson} and \textit{R. S. MacLeod}, Appl. Numer. Math. 14, No. 1--3, 311--326 (1994; Zbl 0803.92014) Full Text: DOI OpenURL
Kim, Seongjai A parallelizable iterative procedure for the Helmholtz problem. (English) Zbl 0805.65100 Appl. Numer. Math. 14, No. 4, 435-449 (1994). Reviewer: R.Chedid (Beirut) MSC: 65N06 65F10 65Y05 65N55 35J05 78A25 PDF BibTeX XML Cite \textit{S. Kim}, Appl. Numer. Math. 14, No. 4, 435--449 (1994; Zbl 0805.65100) Full Text: DOI OpenURL
de la Bourdonnaye, Armel Numerical treatment of integral equations on iPSC. (English) Zbl 0779.65080 Appl. Numer. Math. 12, No. 5, 473-483 (1993). Reviewer: U.Göhner (Leonberg) MSC: 65Z05 65N38 78A45 78M15 35Q60 PDF BibTeX XML Cite \textit{A. de la Bourdonnaye}, Appl. Numer. Math. 12, No. 5, 473--483 (1993; Zbl 0779.65080) Full Text: DOI OpenURL
Sacco, Riccardo Convergence of a second-order accurate Petrov-Galerkin scheme for convection-diffusion problems in semiconductors. (English) Zbl 0774.65094 Appl. Numer. Math. 11, No. 6, 517-528 (1993). Reviewer: Ll.G.Chambers (Bangor) MSC: 65Z05 65N30 65N12 35Q60 78A55 PDF BibTeX XML Cite \textit{R. Sacco}, Appl. Numer. Math. 11, No. 6, 517--528 (1993; Zbl 0774.65094) Full Text: DOI OpenURL
Birkhoff, Garrett Sound waves in fluids. (English) Zbl 0619.76102 Appl. Numer. Math. 3, 3-24 (1987). Reviewer: S.M.Zverev MSC: 76Q05 70H20 78A05 74J10 76M99 PDF BibTeX XML Cite \textit{G. Birkhoff}, Appl. Numer. Math. 3, 3--24 (1987; Zbl 0619.76102) Full Text: DOI OpenURL
Takagi, Toshiyuki; Miki, Kazuyoshi; Sano, Hiroki A new approach to electron beam analysis using a domain decomposition and overlapping method in a three-dimensional boundary-fitted coordinate system. (English) Zbl 0616.65123 Appl. Numer. Math. 3, 305-316 (1987). MSC: 65Z05 65N50 35J05 78A15 PDF BibTeX XML Cite \textit{T. Takagi} et al., Appl. Numer. Math. 3, 305--316 (1987; Zbl 0616.65123) Full Text: DOI OpenURL
Goldstein, Charles I. The weak element method applied to Helmholtz type equations. (English) Zbl 0611.65070 Appl. Numer. Math. 2, 409-426 (1986). Reviewer: Ll.G.Chambers MSC: 65N30 65N15 35J05 78A45 PDF BibTeX XML Cite \textit{C. I. Goldstein}, Appl. Numer. Math. 2, 409--426 (1986; Zbl 0611.65070) Full Text: DOI OpenURL
Hariharan, S. I.; MacCamy, R. C. Low frequency acoustic and electromagnetic scattering. (English) Zbl 0584.65081 Appl. Numer. Math. 2, 29-35 (1986). MSC: 65Z05 35J05 78A45 76Q05 PDF BibTeX XML Cite \textit{S. I. Hariharan} and \textit{R. C. MacCamy}, Appl. Numer. Math. 2, 29--35 (1986; Zbl 0584.65081) Full Text: DOI OpenURL
Bramble, James H.; Pasciak, Joseph E. A boundary parametric approximation to the linearized scalar potential magnetostatic field problem. (English) Zbl 0619.65113 Appl. Numer. Math. 1, 493-514 (1985). MSC: 65Z05 65N30 78A30 35J05 PDF BibTeX XML Cite \textit{J. H. Bramble} and \textit{J. E. Pasciak}, Appl. Numer. Math. 1, 493--514 (1985; Zbl 0619.65113) Full Text: DOI OpenURL