Found 209 Documents (Results 1–100)
An unfitted finite element method with direct extension stabilization for time-harmonic Maxwell problems on smooth domains. (English) Zbl 1542.65167
A PWDG method for the Maxwell system in anisotropic media with piecewise constant coefficient matrix. (English) Zbl 1531.65257
An adaptive and quasi-periodic HDG method for Maxwell’s equations in heterogeneous media. (English) Zbl 1530.65155
Asymptotic expansion for solution of Maxwell equation in domain with highly oscillating boundary. (English) Zbl 1530.35296
Bernstein-Bézier \(H(\mathrm{curl})\)-conforming finite elements for time-harmonic electromagnetic scattering problems. (English) Zbl 07766139
Analysis of a mixed discontinuous Galerkin method for the time-harmonic Maxwell equations with minimal smoothness requirements. (English) Zbl 07726064
MSC:
65Nxx
Biquaternionic treatment of inhomogeneous time-harmonic Maxwell’s equations over unbounded domains. (English) Zbl 1516.35397
Determination of piecewise homogeneous sources for elastic and electromagnetic waves. (English) Zbl 1512.35683
A stabilized \(P1\) domain decomposition finite element method for time harmonic Maxwell’s equations. (English) Zbl 1540.78019
A controllability method for Maxwell’s equations. (English) Zbl 1504.65250
Reviewer: Xiaodi Zhang (Zhengzhou)
On the approximation of electromagnetic fields by edge finite elements. IV: Analysis of the model with one sign-changing coefficient. (English) Zbl 1502.65193
Reviewer: Vladimir Vasilyev (Belgorod)
A well-conditioned weak coupling of boundary element and high-order finite element methods for time-harmonic electromagnetic scattering by inhomogeneous objects. (English) Zbl 1495.35165
Reviewer: Eric Stachura (Marietta)
Time-harmonic solutions for Maxwell’s equations in anisotropic media and Bochner-Riesz estimates with negative index for non-elliptic surfaces. (English) Zbl 1489.42015
Reviewer: Felipe Ponce-Vanegas (Bilbao)
An exact Schur complement method for time-harmonic optimal control problems. (English) Zbl 1487.49002
Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 13th international conference, LSSC 2021, Sozopol, Bulgaria, June 7–11, 2021. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 13127, 91-100 (2022).
Maxwell’s equations with hypersingularities at a conical plasmonic tip. (English. French summary) Zbl 1492.78004
Reviewer: Eric Stachura (Marietta)
A discontinuous least squares finite element method for time-harmonic Maxwell equations. (English) Zbl 07465516
MSC:
65Mxx
The Riemann boundary value problem related to the time-harmonic Maxwell equations. (English) Zbl 1504.35531
Boundary determination of electromagnetic and Lamé parameters with corrupted data. (English) Zbl 1472.35449
Plane wave discontinuous Galerkin methods for the Helmholtz equation and Maxwell equations in anisotropic media. (English) Zbl 1524.65875
A plane wave least squares method for the Maxwell equations in anisotropic media. (English) Zbl 1465.65152
Wavenumber-explicit hp-FEM analysis for Maxwell’s equations with transparent boundary conditions. (English) Zbl 1460.35085
Preconditioners and their analyses for edge element saddle-point systems arising from time-harmonic Maxwell’s equations. (English) Zbl 1456.65018
Nonlinear eigenvalue problems for coupled Helmholtz equations modeling gradient-index graphene waveguides. (English) Zbl 07508434
Finite element methods for Maxwell’s equations. (English) Zbl 1478.65130
Brenner, Susanne C. (ed.) et al., 75 years of mathematics of computation. Symposium celebrating 75 years of mathematics of computation, Institute for Computational and Experimental Research in Mathematics, ICERM, Providence, RI, USA, November 1–3, 2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 754, 159-176 (2020).
Electromagnetic shielding by thin periodic structures and the Faraday cage effect. (Blindage électromagnétique par des structures fines et périodiques.) (English. French summary) Zbl 1455.78009
Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
Convergence of stabilized \(P_1\) finite element scheme for time harmonic Maxwell’s equations. (English) Zbl 1446.65158
Beilina, Larisa (ed.) et al., Mathematical and numerical approaches for multi-wave inverse problems. Selected papers based on the presentations at the conference, CIRM, Marseille, France, April 1–5, 2019. Cham: Springer. Springer Proc. Math. Stat. 328, 33-43 (2020).
Approximate impedance for time-harmonic Maxwell’s equations in a non planar domain with contrasted multi-thin layers. (English) Zbl 1441.78016
Convergence analysis of adaptive edge finite element method for variable coefficient time-harmonic Maxwell’s equations. (English) Zbl 1464.65175
Dirichlet type problem for 2D quaternionic time-harmonic Maxwell system in fractal domains. (English) Zbl 1435.78003
Error analysis of the plane wave discontinuous Galerkin method for Maxwell’s equations in anisotropic media. (English) Zbl 1473.65324
The numerical scheme of the discrete sources method to analyze 3D plasmonic nanostructures accounting for the non-local effect. (English) Zbl 1452.65380
The time-harmonic Maxwell equations with impedance boundary conditions in polyhedral domains. (English) Zbl 1445.78013
Langer, Ulrich (ed.) et al., Maxwell’s equations. Analysis and numerics. Contributions from the workshop on analysis and numerics of acoustic and electromagnetic problems, RICAM, Linz, Austria, October 17–22, 2016. Berlin: De Gruyter. Radon Ser. Comput. Appl. Math. 24, 285-340 (2019).
Adaptive finite element simulations of waveguide configurations involving parallel 2D material sheets. (English) Zbl 1441.78018
Continuous interior penalty finite element methods for the time-harmonic Maxwell equation with high wave number. (English) Zbl 1435.78020
A two-level domain-decomposition preconditioner for the time-harmonic Maxwell’s equations. (English) Zbl 1443.65417
Bjørstad, Petter E. (ed.) et al., Domain decomposition methods in science and engineering XXIV. Proceedings of the 24th international conference, Svalbard, Norway, February 6–10, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 125, 149-157 (2018).
Block generalized locally Toeplitz sequences: from the theory to the applications. (English) Zbl 1434.65034
New discretization schemes for time-harmonic Maxwell equations by weak Galerkin finite element methods. (English) Zbl 1427.78024
An example of explicit implementation strategy and preconditioning for the high order edge finite elements applied to the time-harmonic Maxwell’s equations. (English) Zbl 1409.65088
Nonlinear time-harmonic Maxwell equations in a bounded domain: lack of compactness. (English) Zbl 1402.35271
Multilevel methods for the wave problems with high wave number. (Chinese. English summary) Zbl 1413.65427
Comparisons of three kinds of plane wave methods for the Helmholtz equation and time-harmonic Maxwell equations with complex wave numbers. (English) Zbl 1394.65150
A nonlinear optimal control problem arising from a sterilization process for packaged foods. (English) Zbl 1393.35234
Hölder regularity for Maxwell’s equations under minimal assumptions on the coefficients. (English) Zbl 1397.35299
Reviewer: Thomas Ernst (Uppsala)
Superconvergence analysis of high-order rectangular edge elements for time-harmonic Maxwell’s equations. (English) Zbl 1388.78012
Solving the multi-frequency electromagnetic inverse source problem by the Fourier method. (English) Zbl 1388.78005
The Brezis-Nirenberg problem for the curl-curl operator. (English) Zbl 1397.35298
Reviewer: Jiang Xue (Beijing)
\(l_{2}\) superconvergence analysis of nonconforming element approximation for 3D time-harmonic Maxwell’s equations. (English) Zbl 1383.78043
A plane wave method combined with local spectral elements for nonhomogeneous Helmholtz equation and time-harmonic Maxwell equations. (English) Zbl 1383.78047
Time-harmonic and asymptotically linear Maxwell equations in anisotropic media. (English) Zbl 1383.35222
Saddle point least squares iterative solvers for the time harmonic Maxwell equations. (English) Zbl 1397.65244
ArbiLoMod: local solution spaces by random training in electrodynamics. (English) Zbl 1388.78019
Benner, Peter (ed.) et al., Model reduction of parametrized systems. Selected contributions based on the presentations at the MoRePaS conference, SISSA, Trieste, Italy, October 13–16, 2015. Cham: Springer (ISBN 978-3-319-58785-1/hbk; 978-3-319-58786-8/ebook). MS&A. Modeling, Simulation and Applications 17, 137-148 (2017).
Dipole excitation of surface plasmon on a conducting sheet: finite element approximation and validation. (English) Zbl 1375.78037
Nonlinear time-harmonic Maxwell equations in an anisotropic bounded medium. (English) Zbl 1386.35385
Reviewer: Vincent Lescarret (Gif-sur-Yvette)
A hybrid-mesh hybridizable discontinuous Galerkin method for solving the time-harmonic Maxwell’s equations. (English) Zbl 1362.78013
An absolutely stable \(hp\)-HDG method for the time-harmonic Maxwell equations with high wave number. (English) Zbl 1362.78012
Transfer and approximation of the impedance for time-harmonic Maxwell’s system in a planar domain with thin contrasted multi-layers. (English) Zbl 1360.78026
Hodge decomposition for two-dimensional time-harmonic Maxwell’s equations: impedance boundary condition. (English) Zbl 1361.78007
Reviewer: Teodora-Liliana Rădulescu (Craiova)
Reduced basis modeling for uncertainty quantification of electromagnetic problems in stochastically varying domains. (English) Zbl 1383.78050
Bartel, Andreas (ed.) et al., Scientific computing in electrical engineering. SCEE 2014. Proceedings of the 10th international conference, Wuppertal, Germany, July 22–25, 2014. Cham: Springer (ISBN 978-3-319-30398-7/hbk; 978-3-319-30399-4/ebook). Mathematics in Industry 23. The European Consortium for Mathematics in Industry, 215-222 (2016).
A symmetric and low-frequency stable potential formulation for the finite-element simulation of electromagnetic fields. (English) Zbl 1383.78040
Bartel, Andreas (ed.) et al., Scientific computing in electrical engineering. SCEE 2014. Proceedings of the 10th international conference, Wuppertal, Germany, July 22–25, 2014. Cham: Springer (ISBN 978-3-319-30398-7/hbk; 978-3-319-30399-4/ebook). Mathematics in Industry 23. The European Consortium for Mathematics in Industry, 63-71 (2016).
MSC:
78M10
Nonlinear time-harmonic Maxwell equations in \(\mathbb{R}^3\): recent results and open questions. (English) Zbl 1379.35303
Azzollini, Antonio (ed.), Recent advances in nonlinear PDEs theory. Potenza: Seminario Interdisciplinare di Matematica (S.I.M.) (ISBN 978-88-97478-18-8/pbk). Lecture Notes of Seminario Interdisciplinare di Matematica 13, 47-57 (2016).
Reviewer: Teodora-Liliana Rădulescu (Craiova)
Optimized Schwarz algorithms for solving time-harmonic Maxwell’s equations discretized by a hybridizable discontinuous Galerkin method. (English) Zbl 1352.65346
A hybridizable discontinuous Galerkin method for the time-harmonic Maxwell equations with high wave number. (English) Zbl 1342.65216
Equivalent transmission conditions for the time-harmonic Maxwell equations in 3D for a medium with a highly conductive thin sheet. (English) Zbl 1373.35299
Reviewer: Xingbin Pan (Shanghai)
A robust multilevel method for the time-harmonic Maxwell equation with high wave number. (English) Zbl 1380.65405
A class of locally well-posed hybridizable discontinuous Galerkin methods for the solution of time-harmonic Maxwell’s equations. (English) Zbl 1375.78036
Discontinuous Galerkin discretizations of optimized Schwarz methods for solving the time-harmonic Maxwell’s equations. (English) Zbl 1330.65177
High-order asymptotics for the electromagnetic scattering by thin periodic layers. (English) Zbl 1318.78004
Optimized Schwarz methods for Maxwell equations with discontinuous coefficients. (English) Zbl 1383.78045
Erhel, Jocelyne (ed.) et al., Domain decomposition methods in science and engineering XXI. Proceedings of the 21st international conference, Inria Rennes Center, France, June 25–29, 2012. Cham: Springer (ISBN 978-3-319-05788-0/hbk; 978-3-319-35548-1/pbk; 978-3-319-05789-7/ebook). Lecture Notes in Computational Science and Engineering 98, 517-525 (2014).
DG discretization of optimized Schwarz methods for Maxwell’s equations. (English) Zbl 1383.78038
Erhel, Jocelyne (ed.) et al., Domain decomposition methods in science and engineering XXI. Proceedings of the 21st international conference, Inria Rennes Center, France, June 25–29, 2012. Cham: Springer (ISBN 978-3-319-05788-0/hbk; 978-3-319-35548-1/pbk; 978-3-319-05789-7/ebook). Lecture Notes in Computational Science and Engineering 98, 217-225 (2014).
Rapidly convergent two-dimensional quasi-periodic Green function throughout the spectrum-including wood anomalies. (English) Zbl 1349.74356
MSC:
74S20
A hybridizable discontinuous Galerkin method combined to a Schwarz algorithm for the solution of 3d time-harmonic Maxwell’s equation. (English) Zbl 1349.78069
Multiplicative block preconditioner for the time-harmonic Maxwell equations. (English) Zbl 1339.65040
A-posteriori error analysis for a staggered discontinuous Galerkin discretization of the time-harmonic Maxwell’s equations. (English) Zbl 1337.65151
An \(hp\)-adaptive discontinuous Galerkin method for plasmonic waveguides. (A \(hp\)-adaptive discontinuous Galerkin method for plasmonic waveguides.) (English) Zbl 1331.78026
Reviewer: Georg Hebermehl (Berlin)
An absolutely stable discontinuous Galerkin method for the indefinite time-harmonic Maxwell equations with large wave number. (English) Zbl 1315.78011
Reviewer: Teodora-Liliana Rădulescu (Craiova)
Regularity of weak solution for a coupled system arising from a microwave heating model. (English) Zbl 1314.35183
Reviewer: Rainer Picard (Dresden)
The finite element method in electromagnetics. 3rd ed. (English) Zbl 1419.78001
Hoboken, NJ: John Wiley & Sons (ISBN 978-1-118-57136-1/hbk). xxix, 846 p. (2014).
Reviewer: Georg Hebermehl (Berlin)
Regularity of time-harmonic electromagnetic fields in the interior of bianisotropic materials and metamaterials. (English) Zbl 1288.35447
Coupling of an exact transparent boundary condition with a DG method for the solution of the time-harmonic Maxwell equations. (English) Zbl 1284.78011
Azaïez, Mejdi (ed.) et al., Spectral and high order methods for partial differential equations – ICOSAHOM 2012. Selected papers from the ICOSAHOM conference, Gammarth, Tunisia, June 25–29, 2012. Cham: Springer (ISBN 978-3-319-01600-9/hbk; 978-3-319-01601-6/ebook). Lecture Notes in Computational Science and Engineering 95, 237-247 (2014).
Two-level additive preconditioners for edge element discretizations of time-harmonic Maxwell equations. (English) Zbl 1360.78046
ERMES: a nodal-based finite element code for electromagnetic simulations in frequency domain. (English) Zbl 1349.78002
Shape derivatives for the scattering by biperiodic gratings. (English) Zbl 1310.78007
Reviewer: Vladimir Čadež (Beograd)
High order discontinuous Galerkin method for the solution of 2D time-harmonic Maxwell’s equations. (English) Zbl 1288.78031
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