Gerhard, Pierre; Helluy, Philippe; Michel-Dansac, Victor; Weber, Bruno Parallel kinetic schemes for conservation laws, with large time steps. (English) Zbl 07812559 J. Sci. Comput. 99, No. 1, Paper No. 5, 34 p. (2024). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 65M06 65N30 65L06 65M12 65M15 65Y05 35Q49 PDFBibTeX XMLCite \textit{P. Gerhard} et al., J. Sci. Comput. 99, No. 1, Paper No. 5, 34 p. (2024; Zbl 07812559) Full Text: DOI arXiv
Rueda-Ramírez, Andrés M.; Gassner, Gregor J. A flux-differencing formula for split-form summation by parts discretizations of non-conservative systems. Applications to subcell limiting for magneto-hydrodynamics. (English) Zbl 07808005 J. Comput. Phys. 496, Article ID 112607, 19 p. (2024). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{A. M. Rueda-Ramírez} and \textit{G. J. Gassner}, J. Comput. Phys. 496, Article ID 112607, 19 p. (2024; Zbl 07808005) Full Text: DOI arXiv
Bhoriya, Deepak; Biswas, Biswarup; Kumar, Harish; Chandrashekhar, Praveen Entropy stable discontinuous Galerkin schemes for two-fluid relativistic plasma flow equations. (English) Zbl 07766142 J. Sci. Comput. 97, No. 3, Paper No. 72, 40 p. (2023). MSC: 65-XX 35L25 35L56 35L75 65M60 PDFBibTeX XMLCite \textit{D. Bhoriya} et al., J. Sci. Comput. 97, No. 3, Paper No. 72, 40 p. (2023; Zbl 07766142) Full Text: DOI arXiv
Hazra, Arijit; Balsara, Dinshaw S.; Chandrashekar, Praveen; Garain, Sudip K. Multidimensional generalized Riemann problem solver for Maxwell’s equations. (English) Zbl 1515.78034 J. Sci. Comput. 96, No. 1, Paper No. 26, 29 p. (2023). MSC: 78M12 65M08 35L65 PDFBibTeX XMLCite \textit{A. Hazra} et al., J. Sci. Comput. 96, No. 1, Paper No. 26, 29 p. (2023; Zbl 1515.78034) Full Text: DOI arXiv
Bhoriya, Deepak; Kumar, Harish; Chandrashekar, Praveen High-order finite-difference entropy stable schemes for two-fluid relativistic plasma flow equations. (English) Zbl 07696972 J. Comput. Phys. 488, Article ID 112207, 36 p. (2023). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{D. Bhoriya} et al., J. Comput. Phys. 488, Article ID 112207, 36 p. (2023; Zbl 07696972) Full Text: DOI arXiv
Chiocchetti, Simone; Dumbser, Michael An exactly curl-free staggered semi-implicit finite volume scheme for a first order hyperbolic model of viscous two-phase flows with surface tension. (English) Zbl 07682799 J. Sci. Comput. 94, No. 1, Paper No. 24, 62 p. (2023). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{S. Chiocchetti} and \textit{M. Dumbser}, J. Sci. Comput. 94, No. 1, Paper No. 24, 62 p. (2023; Zbl 07682799) Full Text: DOI arXiv
Busto, Saray; Dumbser, Michael A new thermodynamically compatible finite volume scheme for magnetohydrodynamics. (English) Zbl 07670867 SIAM J. Numer. Anal. 61, No. 1, 343-364 (2023). MSC: 65-XX 35L40 65M08 PDFBibTeX XMLCite \textit{S. Busto} and \textit{M. Dumbser}, SIAM J. Numer. Anal. 61, No. 1, 343--364 (2023; Zbl 07670867) Full Text: DOI arXiv
Rueda-Ramírez, Andrés M.; Hindenlang, Florian J.; Chan, Jesse; Gassner, Gregor J. Entropy-stable Gauss collocation methods for ideal magneto-hydrodynamics. (English) Zbl 07649272 J. Comput. Phys. 475, Article ID 111851, 33 p. (2023). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{A. M. Rueda-Ramírez} et al., J. Comput. Phys. 475, Article ID 111851, 33 p. (2023; Zbl 07649272) Full Text: DOI arXiv
Castro Díaz, Manuel J. (ed.); Després, Bruno (ed.); Dumbser, Michael (ed.); Klingenberg, Christian (ed.) Structure-preserving discretizations for nonlinear systems of hyperbolic, involution-constrained partial differential equations on manifolds. Abstracts from the workshop held April 10–16, 2022. (English) Zbl 1519.00016 Oberwolfach Rep. 19, No. 2, 979-1037 (2022). MSC: 00B05 00B25 35-06 35L45 35L65 58J45 65M06 65M08 65M12 65M25 65M60 74C20 76W05 76M12 78M10 78M12 83C05 83C22 PDFBibTeX XMLCite \textit{M. J. Castro Díaz} (ed.) et al., Oberwolfach Rep. 19, No. 2, 979--1037 (2022; Zbl 1519.00016) Full Text: DOI
Rueda-Ramírez, Andrés M.; Pazner, Will; Gassner, Gregor J. Subcell limiting strategies for discontinuous Galerkin spectral element methods. (English) Zbl 1521.76363 Comput. Fluids 247, Article ID 105627, 19 p. (2022). MSC: 76M10 65M60 35L65 PDFBibTeX XMLCite \textit{A. M. Rueda-Ramírez} et al., Comput. Fluids 247, Article ID 105627, 19 p. (2022; Zbl 1521.76363) Full Text: DOI arXiv
Dhaouadi, Firas; Dumbser, Michael A first order hyperbolic reformulation of the Navier-Stokes-Korteweg system based on the GPR model and an augmented Lagrangian approach. (English) Zbl 07599597 J. Comput. Phys. 470, Article ID 111544, 30 p. (2022). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{F. Dhaouadi} and \textit{M. Dumbser}, J. Comput. Phys. 470, Article ID 111544, 30 p. (2022; Zbl 07599597) Full Text: DOI
Abalos, J. Fernando On constraint preservation and strong hyperbolicity. (English) Zbl 1510.83010 Classical Quantum Gravity 39, No. 21, Article ID 215004, 57 p. (2022). MSC: 83C10 70H45 35F31 35F16 62F10 35Q61 35L05 83F05 PDFBibTeX XMLCite \textit{J. F. Abalos}, Classical Quantum Gravity 39, No. 21, Article ID 215004, 57 p. (2022; Zbl 1510.83010) Full Text: DOI arXiv
Bremer, Maximilian; Bachan, John; Chan, Cy; Dawson, Clint Adaptive total variation stable local timestepping for conservation laws. (English) Zbl 07536744 J. Comput. Phys. 463, Article ID 111176, 25 p. (2022). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{M. Bremer} et al., J. Comput. Phys. 463, Article ID 111176, 25 p. (2022; Zbl 07536744) Full Text: DOI arXiv
Campos Pinto, Martin; Pagès, Valentin A semi-implicit electromagnetic FEM-PIC scheme with exact energy and charge conservation. (English) Zbl 07517705 J. Comput. Phys. 453, Article ID 110912, 28 p. (2022). MSC: 65Nxx 65Mxx 35Qxx PDFBibTeX XMLCite \textit{M. Campos Pinto} and \textit{V. Pagès}, J. Comput. Phys. 453, Article ID 110912, 28 p. (2022; Zbl 07517705) Full Text: DOI HAL
Fornet, B.; Mouysset, V. Initial and boundary conditions for hyperbolic divergence cleaning for Maxwell’s solvers. (English) Zbl 1490.35475 Appl. Anal. 101, No. 2, 692-701 (2022). MSC: 35Q61 78A25 78A40 78A50 35B30 35L04 PDFBibTeX XMLCite \textit{B. Fornet} and \textit{V. Mouysset}, Appl. Anal. 101, No. 2, 692--701 (2022; Zbl 1490.35475) Full Text: DOI
Rueda-Ramírez, Andrés M.; Hennemann, Sebastian; Hindenlang, Florian J.; Winters, Andrew R.; Gassner, Gregor J. An entropy stable nodal discontinuous Galerkin method for the resistive MHD equations. II: Subcell finite volume shock capturing. (English) Zbl 07515469 J. Comput. Phys. 444, Article ID 110580, 48 p. (2021). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{A. M. Rueda-Ramírez} et al., J. Comput. Phys. 444, Article ID 110580, 48 p. (2021; Zbl 07515469) Full Text: DOI arXiv
Xiao, Tianbai; Frank, Martin A stochastic kinetic scheme for multi-scale plasma transport with uncertainty quantification. (English) Zbl 07511681 J. Comput. Phys. 432, Article ID 110139, 32 p. (2021). MSC: 65Mxx 35Qxx 76Mxx PDFBibTeX XMLCite \textit{T. Xiao} and \textit{M. Frank}, J. Comput. Phys. 432, Article ID 110139, 32 p. (2021; Zbl 07511681) Full Text: DOI arXiv
Chiocchetti, Simone; Peshkov, Ilya; Gavrilyuk, Sergey; Dumbser, Michael High order ADER schemes and GLM curl cleaning for a first order hyperbolic formulation of compressible flow with surface tension. (English) Zbl 07510040 J. Comput. Phys. 426, Article ID 109898, 45 p. (2021). MSC: 76-XX 35-XX PDFBibTeX XMLCite \textit{S. Chiocchetti} et al., J. Comput. Phys. 426, Article ID 109898, 45 p. (2021; Zbl 07510040) Full Text: DOI arXiv
Boscheri, W.; Dumbser, M.; Ioriatti, M.; Peshkov, I.; Romenski, E. A structure-preserving staggered semi-implicit finite volume scheme for continuum mechanics. (English) Zbl 07508471 J. Comput. Phys. 424, Article ID 109866, 40 p. (2021). MSC: 80-XX 35-XX PDFBibTeX XMLCite \textit{W. Boscheri} et al., J. Comput. Phys. 424, Article ID 109866, 40 p. (2021; Zbl 07508471) Full Text: DOI arXiv
Mignone, A.; Del Zanna, L. Systematic construction of upwind constrained transport schemes for MHD. (English) Zbl 07508439 J. Comput. Phys. 424, Article ID 109748, 26 p. (2021). MSC: 76-XX 35-XX PDFBibTeX XMLCite \textit{A. Mignone} and \textit{L. Del Zanna}, J. Comput. Phys. 424, Article ID 109748, 26 p. (2021; Zbl 07508439) Full Text: DOI arXiv
Saravia, Martín A finite volume formulation for magnetostatics of discontinuous media within a multi-region OpenFOAM framework. (English) Zbl 1502.78036 J. Comput. Phys. 433, Article ID 110089, 22 p. (2021). MSC: 78M10 78M12 65N08 35Q61 78A30 76W05 PDFBibTeX XMLCite \textit{M. Saravia}, J. Comput. Phys. 433, Article ID 110089, 22 p. (2021; Zbl 1502.78036) Full Text: DOI
Busto, S.; Río-Martín, L.; Vázquez-Cendón, M. E.; Dumbser, M. A semi-implicit hybrid finite volume/finite element scheme for all Mach number flows on staggered unstructured meshes. (English) Zbl 1510.76082 Appl. Math. Comput. 402, Article ID 126117, 29 p. (2021). MSC: 76M10 65M60 76M20 65M08 35Q35 PDFBibTeX XMLCite \textit{S. Busto} et al., Appl. Math. Comput. 402, Article ID 126117, 29 p. (2021; Zbl 1510.76082) Full Text: DOI arXiv
Morel, Benoit; Giust, Remo; Ardaneh, Kazem; Courvoisier, Francois A simple solver for the two-fluid plasma model based on pseudospectral time-domain algorithm. (English) Zbl 1528.65090 Commun. Comput. Phys. 29, No. 3, 955-978 (2021). MSC: 65M70 65M06 65L06 65N35 65T50 76X05 76T06 78A60 82D10 82C40 35L02 35L03 35Q61 35Q31 PDFBibTeX XMLCite \textit{B. Morel} et al., Commun. Comput. Phys. 29, No. 3, 955--978 (2021; Zbl 1528.65090) Full Text: DOI arXiv
Liu, Hongtao; Cai, Xiaofeng; Lapenta, Giovanni; Cao, Yong Conservative semi-Lagrangian kinetic scheme coupled with implicit finite element field solver for multidimensional Vlasov Maxwell system. (English) Zbl 1496.65167 Commun. Nonlinear Sci. Numer. Simul. 102, Article ID 105941, 18 p. (2021). MSC: 65M60 65M06 65N30 78A25 78M10 35Q83 35Q60 PDFBibTeX XMLCite \textit{H. Liu} et al., Commun. Nonlinear Sci. Numer. Simul. 102, Article ID 105941, 18 p. (2021; Zbl 1496.65167) Full Text: DOI
D’Azevedo, Eduardo; Green, David L.; Mu, Lin Discontinuous Galerkin sparse grids methods for time domain Maxwell’s equations. (English) Zbl 1525.65092 Comput. Phys. Commun. 256, Article ID 107412, 15 p. (2020). MSC: 65M60 65M12 35Q61 78A25 PDFBibTeX XMLCite \textit{E. D'Azevedo} et al., Comput. Phys. Commun. 256, Article ID 107412, 15 p. (2020; Zbl 1525.65092) Full Text: DOI
Abalos, Fernando; Reula, Oscar On necessary and sufficient conditions for strong hyperbolicity in systems with constraints. (English) Zbl 1479.35555 Classical Quantum Gravity 37, No. 18, Article ID 185012, 38 p. (2020). MSC: 35L45 35E15 PDFBibTeX XMLCite \textit{F. Abalos} and \textit{O. Reula}, Classical Quantum Gravity 37, No. 18, Article ID 185012, 38 p. (2020; Zbl 1479.35555) Full Text: DOI arXiv
Einkemmer, Lukas; Ostermann, Alexander; Piazzola, Chiara A low-rank projector-splitting integrator for the Vlasov-Maxwell equations with divergence correction. (English) Zbl 1453.65357 J. Comput. Phys. 403, Article ID 109063, 18 p. (2020). MSC: 65M70 35Q83 PDFBibTeX XMLCite \textit{L. Einkemmer} et al., J. Comput. Phys. 403, Article ID 109063, 18 p. (2020; Zbl 1453.65357) Full Text: DOI arXiv
Hoang, Thi-Thao-Phuong; Ju, Lili; Leng, Wei; Wang, Zhu High order explicit local time stepping methods for hyperbolic conservation laws. (English) Zbl 1436.65130 Math. Comput. 89, No. 324, 1807-1842 (2020). MSC: 65M20 65L06 65M12 65N30 35L65 PDFBibTeX XMLCite \textit{T.-T.-P. Hoang} et al., Math. Comput. 89, No. 324, 1807--1842 (2020; Zbl 1436.65130) Full Text: DOI arXiv
Law, Yann-Meing; Marques, Alexandre Noll; Nave, Jean-Christophe Treatment of complex interfaces for Maxwell’s equations with continuous coefficients using the correction function method. (English) Zbl 1434.78027 J. Sci. Comput. 82, No. 3, Paper No. 56, 29 p. (2020). MSC: 78M20 35Q61 65M06 65M12 78A25 PDFBibTeX XMLCite \textit{Y.-M. Law} et al., J. Sci. Comput. 82, No. 3, Paper No. 56, 29 p. (2020; Zbl 1434.78027) Full Text: DOI arXiv
Escalante, C.; Dumbser, M.; Castro, M. J. An efficient hyperbolic relaxation system for dispersive non-hydrostatic water waves and its solution with high order discontinuous Galerkin schemes. (English) Zbl 1452.65188 J. Comput. Phys. 394, 385-416 (2019). MSC: 65M08 65M60 65Y05 35L40 76M12 65Z05 PDFBibTeX XMLCite \textit{C. Escalante} et al., J. Comput. Phys. 394, 385--416 (2019; Zbl 1452.65188) Full Text: DOI
Meena, Asha Kumari; Kumar, Harish Robust numerical schemes for two-fluid ten-moment plasma flow equations. (English) Zbl 1407.65148 Z. Angew. Math. Phys. 70, No. 1, Paper No. 23, 30 p. (2019). MSC: 65M08 65M12 35L60 PDFBibTeX XMLCite \textit{A. K. Meena} and \textit{H. Kumar}, Z. Angew. Math. Phys. 70, No. 1, Paper No. 23, 30 p. (2019; Zbl 1407.65148) Full Text: DOI
Fernandez, P.; Christophe, A.; Terrana, S.; Nguyen, N. C.; Peraire, J. Hybridized discontinuous Galerkin methods for wave propagation. (English) Zbl 1407.65184 J. Sci. Comput. 77, No. 3, 1566-1604 (2018). MSC: 65M60 65M06 35Q35 35Q74 35Q60 PDFBibTeX XMLCite \textit{P. Fernandez} et al., J. Sci. Comput. 77, No. 3, 1566--1604 (2018; Zbl 1407.65184) Full Text: DOI arXiv Link
Phillips, Edward G.; Shadid, John N.; Cyr, Eric C. Scalable preconditioners for structure preserving discretizations of Maxwell equations in first order form. (English) Zbl 1387.65027 SIAM J. Sci. Comput. 40, No. 3, B723-B742 (2018). MSC: 65F08 35Q61 PDFBibTeX XMLCite \textit{E. G. Phillips} et al., SIAM J. Sci. Comput. 40, No. 3, B723--B742 (2018; Zbl 1387.65027) Full Text: DOI
Juno, J.; Hakim, A.; TenBarge, J.; Shi, E.; Dorland, W. Discontinuous Galerkin algorithms for fully kinetic plasmas. (English) Zbl 1380.65273 J. Comput. Phys. 353, 110-147 (2018). MSC: 65M60 82D10 76X05 35B06 PDFBibTeX XMLCite \textit{J. Juno} et al., J. Comput. Phys. 353, 110--147 (2018; Zbl 1380.65273) Full Text: DOI arXiv
Pinto, Martin Campos; Sonnendrücker, Eric Compatible Maxwell solvers with particles. I: Conforming and non-conforming 2D schemes with a strong Ampere law. (English) Zbl 1416.78028 SMAI J. Comput. Math. 3, 53-89 (2017). MSC: 78M10 65M60 65M12 65M75 78A25 35Q60 PDFBibTeX XMLCite \textit{M. C. Pinto} and \textit{E. Sonnendrücker}, SMAI J. Comput. Math. 3, 53--89 (2017; Zbl 1416.78028) Full Text: DOI
Almquist, Martin; Mehlin, Michaela Multilevel local time-stepping methods of Runge-Kutta-type for wave equations. (English) Zbl 1373.65069 SIAM J. Sci. Comput. 39, No. 5, A2020-A2048 (2017). MSC: 65M60 65M06 65L06 65M20 65M50 35L05 65M12 PDFBibTeX XMLCite \textit{M. Almquist} and \textit{M. Mehlin}, SIAM J. Sci. Comput. 39, No. 5, A2020--A2048 (2017; Zbl 1373.65069) Full Text: DOI
Toumi, Asma; Dufour, Guillaume; Perrussel, Ronan; Unfer, Thomas Second order accurate asynchronous scheme for modeling linear partial differential equations. (English) Zbl 1372.65263 Appl. Numer. Math. 121, 115-133 (2017). MSC: 65M20 35G05 65M12 PDFBibTeX XMLCite \textit{A. Toumi} et al., Appl. Numer. Math. 121, 115--133 (2017; Zbl 1372.65263) Full Text: DOI HAL
Picard, Rainer; Trostorff, Sascha; Waurick, Marcus On a connection between the Maxwell system, the extended Maxwell system, the Dirac operator and gravito-electromagnetism. (English) Zbl 1362.35297 Math. Methods Appl. Sci. 40, No. 2, 415-434 (2017). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q61 35Q41 11R52 83C50 PDFBibTeX XMLCite \textit{R. Picard} et al., Math. Methods Appl. Sci. 40, No. 2, 415--434 (2017; Zbl 1362.35297) Full Text: DOI arXiv
Wolf, Eric M.; Causley, Matthew; Christlieb, Andrew; Bettencourt, Matthew A particle-in-cell method for the simulation of plasmas based on an unconditionally stable field solver. (English) Zbl 1373.76275 J. Comput. Phys. 326, 342-372 (2016). MSC: 76M28 35Q83 65M20 76X05 PDFBibTeX XMLCite \textit{E. M. Wolf} et al., J. Comput. Phys. 326, 342--372 (2016; Zbl 1373.76275) Full Text: DOI
Campos Pinto, Martin; Sonnendrücker, Eric Gauss-compatible Galerkin schemes for time-dependent Maxwell equations. (English) Zbl 1344.65092 Math. Comput. 85, No. 302, 2651-2685 (2016). MSC: 65M60 35Q61 65M12 PDFBibTeX XMLCite \textit{M. Campos Pinto} and \textit{E. Sonnendrücker}, Math. Comput. 85, No. 302, 2651--2685 (2016; Zbl 1344.65092) Full Text: DOI
Diaz, Julien; Grote, Marcus J. Multi-level explicit local time-stepping methods for second-order wave equations. (English) Zbl 1425.65109 Comput. Methods Appl. Mech. Eng. 291, 240-265 (2015). MSC: 65M60 35L20 65M12 PDFBibTeX XMLCite \textit{J. Diaz} and \textit{M. J. Grote}, Comput. Methods Appl. Mech. Eng. 291, 240--265 (2015; Zbl 1425.65109) Full Text: DOI HAL
Chen, G.; Chacón, L. A multi-dimensional, energy- and charge-conserving, nonlinearly implicit, electromagnetic Vlasov-Darwin particle-in-cell algorithm. (English) Zbl 1352.65405 Comput. Phys. Commun. 197, 73-87 (2015). MSC: 65M75 65M06 35Q83 82D10 82C80 PDFBibTeX XMLCite \textit{G. Chen} and \textit{L. Chacón}, Comput. Phys. Commun. 197, 73--87 (2015; Zbl 1352.65405) Full Text: DOI arXiv
Pfeiffer, M.; Munz, C.-D.; Fasoulas, S. Hyperbolic divergence cleaning, the electrostatic limit, and potential boundary conditions for particle-in-cell codes. (English) Zbl 1349.78073 J. Comput. Phys. 294, 547-561 (2015). MSC: 78M10 65M60 35Q60 35Q83 78A35 82D05 PDFBibTeX XMLCite \textit{M. Pfeiffer} et al., J. Comput. Phys. 294, 547--561 (2015; Zbl 1349.78073) Full Text: DOI
Hochbruck, Marlis; Pažur, Tomislav; Schulz, Andreas; Thawinan, Ekkachai; Wieners, Christian Efficient time integration for discontinuous Galerkin approximations of linear wave equations [Plenary lecture presented at the 83rd annual GAMM conference, Darmstadt, 26th – 30th March, 2012]. (English) Zbl 1322.65095 ZAMM, Z. Angew. Math. Mech. 95, No. 3, 237-259 (2015). MSC: 65M60 35L45 35L65 74J05 76Q05 78M25 PDFBibTeX XMLCite \textit{M. Hochbruck} et al., ZAMM, Z. Angew. Math. Mech. 95, No. 3, 237--259 (2015; Zbl 1322.65095) Full Text: DOI
Beilina, Larisa; Cristofol, Michel; Niinimäki, Kati Optimization approach for the simultaneous reconstruction of the dielectric permittivity and magnetic permeability functions from limited observations. (English) Zbl 1308.35296 Inverse Probl. Imaging 9, No. 1, 1-25 (2015). MSC: 35Q61 65N21 35R30 65M32 65M06 65N30 78M50 78M10 78M20 PDFBibTeX XMLCite \textit{L. Beilina} et al., Inverse Probl. Imaging 9, No. 1, 1--25 (2015; Zbl 1308.35296) Full Text: DOI arXiv
Dumbser, Michael Arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes with time-accurate local time stepping for hyperbolic conservation laws. (English) Zbl 1423.76296 Comput. Methods Appl. Mech. Eng. 280, 57-83 (2014). MSC: 76M12 65M08 35L65 76M20 65M06 PDFBibTeX XMLCite \textit{M. Dumbser}, Comput. Methods Appl. Mech. Eng. 280, 57--83 (2014; Zbl 1423.76296) Full Text: DOI arXiv
Abgrall, Remi; Kumar, Harish Robust finite volume schemes for two-fluid plasma equations. (English) Zbl 1299.76157 J. Sci. Comput. 60, No. 3, 584-611 (2014). MSC: 76M12 76X05 35Q35 PDFBibTeX XMLCite \textit{R. Abgrall} and \textit{H. Kumar}, J. Sci. Comput. 60, No. 3, 584--611 (2014; Zbl 1299.76157) Full Text: DOI Link
Winters, Andrew R.; Kopriva, David A. High-order local time stepping on moving DG spectral element meshes. (English) Zbl 1286.65128 J. Sci. Comput. 58, No. 1, 176-202 (2014). MSC: 65M60 35L65 65M70 PDFBibTeX XMLCite \textit{A. R. Winters} and \textit{D. A. Kopriva}, J. Sci. Comput. 58, No. 1, 176--202 (2014; Zbl 1286.65128) Full Text: DOI Link
Dumbser, Michael; Zanotti, Olindo; Hidalgo, Arturo; Balsara, Dinshaw S. ADER-WENO finite volume schemes with space-time adaptive mesh refinement. (English) Zbl 1349.76325 J. Comput. Phys. 248, 257-286 (2013). MSC: 76M12 65M08 76W05 35Q31 PDFBibTeX XMLCite \textit{M. Dumbser} et al., J. Comput. Phys. 248, 257--286 (2013; Zbl 1349.76325) Full Text: DOI arXiv
Mallet, Benoit; Ferrieres, Xavier; Pernet, Sebastien; Laurent, Jean-Baptiste; Pecqueux, Bernard; Seimandi, Pierre A \(p\)-strategy with a local time-stepping method in a discontinuous Galerkin approach to solve electromagnetic problems. (English) Zbl 1309.78008 J. Comput. Methods Phys. 2013, Article ID 563480, 13 p. (2013). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 78M20 78M10 65N30 35Q61 PDFBibTeX XMLCite \textit{B. Mallet} et al., J. Comput. Methods Phys. 2013, Article ID 563480, 13 p. (2013; Zbl 1309.78008) Full Text: DOI
Crestetto, Anaïs; Helluy, Philippe Resolution of the Vlasov-Maxwell system by PIC discontinuous Galerkin method on GPU with OpenCL. (English) Zbl 1337.78005 ESAIM, Proc. 38, 257-274 (2012). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 78A35 35Q60 35Q83 78M25 65M60 65M75 65Y10 PDFBibTeX XMLCite \textit{A. Crestetto} and \textit{P. Helluy}, ESAIM, Proc. 38, 257--274 (2012; Zbl 1337.78005) Full Text: DOI
Fornet, Bruno; Mouysset, Vincent; Rodríguez-Arós, Ángel Mathematical study of a hyperbolic regularization to ensure Gauss law conservation in Maxwell-Vlasov applications. (English) Zbl 1251.35160 Math. Models Methods Appl. Sci. 22, No. 4, 1150020, 28 p. (2012). MSC: 35Q61 35Q83 35B40 PDFBibTeX XMLCite \textit{B. Fornet} et al., Math. Models Methods Appl. Sci. 22, No. 4, 1150020, 28 p. (2012; Zbl 1251.35160) Full Text: DOI
Pebernet, Laura; Ferrieres, Xavier; Mouysset, Vincent; Rogier, François; Degond, Pierre A discontinuous Galerkin formalism to solve the Maxwell-Vlasov equations. Application to high power microwave sources. (English) Zbl 1247.78048 Michielsen, Bastiaan (ed.) et al., Scientific computing in electrical engineering SCEE 2010. Selected papers based on the presentations at the 8th conference, Toulouse, France, September 2010. Berlin: Springer (ISBN 978-3-642-22452-2/hbk; 978-3-642-22453-9/ebook). Mathematics in Industry 16, 183-192 (2012). MSC: 78M25 35Q61 35Q83 76X05 76M28 65M60 PDFBibTeX XMLCite \textit{L. Pebernet} et al., Math. Ind. 16, 183--192 (2012; Zbl 1247.78048) Full Text: DOI
Kjellmert, Bo; Strömberg, Thomas Time-dependent electromagnetic waves in a cavity. (English) Zbl 1212.78005 Appl. Math., Praha 54, No. 1, 17-45 (2009). MSC: 78A25 35Q60 65M70 PDFBibTeX XMLCite \textit{B. Kjellmert} and \textit{T. Strömberg}, Appl. Math., Praha 54, No. 1, 17--45 (2009; Zbl 1212.78005) Full Text: DOI EuDML Link
Ciarlet, Patrick jun.; Labrunie, Simon Numerical analysis of the generalized Maxwell equations (with an elliptic correction) for charged particle simulations. (English) Zbl 1179.78107 Math. Models Methods Appl. Sci. 19, No. 11, 1959-1994 (2009). MSC: 78M10 65M60 35Q40 65M12 65M15 78A35 PDFBibTeX XMLCite \textit{P. Ciarlet jun.} and \textit{S. Labrunie}, Math. Models Methods Appl. Sci. 19, No. 11, 1959--1994 (2009; Zbl 1179.78107) Full Text: DOI
Brackbill, J. U. Boundary conditions for Maxwell solvers. (English) Zbl 1207.78005 J. Comput. Phys. 227, No. 14, 6715-6719 (2008). Reviewer: Nina Shokina (Freiburg) MSC: 78A25 35Q60 78M20 PDFBibTeX XMLCite \textit{J. U. Brackbill}, J. Comput. Phys. 227, No. 14, 6715--6719 (2008; Zbl 1207.78005) Full Text: DOI
Barthelmé, Régine; Ciarlet, Patrick jun.; Sonnendrücker, Eric Generalized formulations of Maxwell’s equations for numerical Vlasov-Maxwell simulations. (English) Zbl 1134.35103 Math. Models Methods Appl. Sci. 17, No. 5, 657-680 (2007). Reviewer: Alexander V. Gemintern (Haifa) MSC: 35Q60 35F15 78A35 78A25 PDFBibTeX XMLCite \textit{R. Barthelmé} et al., Math. Models Methods Appl. Sci. 17, No. 5, 657--680 (2007; Zbl 1134.35103) Full Text: DOI
Seiler, Werner M. Completion to involution and semidiscretisations. (English) Zbl 1004.65097 Appl. Numer. Math. 42, No. 1-3, 437-451 (2002). Reviewer: K.B.Schneider (Berlin) MSC: 65M20 65L80 65M06 65M70 34A09 35L80 PDFBibTeX XMLCite \textit{W. M. Seiler}, Appl. Numer. Math. 42, No. 1--3, 437--451 (2002; Zbl 1004.65097) Full Text: DOI