Huynh, Giang D.; Abedi, Reza Tent-pitcher spacetime discontinuous Galerkin method for one-dimensional linear hyperbolic and parabolic PDEs. (English) Zbl 07750279 Comput. Math. Appl. 148, 26-40 (2023). MSC: 65M60 65M15 65M12 76M10 74S05 PDFBibTeX XMLCite \textit{G. D. Huynh} and \textit{R. Abedi}, Comput. Math. Appl. 148, 26--40 (2023; Zbl 07750279) Full Text: DOI
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
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
Kotovshchikova, Marina; Firsov, Dmitry K.; Lui, Shiu Hong A third-order multirate Runge-Kutta scheme for finite volume solution of 3D time-dependent Maxwell’s equations. (English) Zbl 1444.65033 Commun. Appl. Math. Comput. Sci. 15, No. 1, 65-87 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65L06 65M08 65P10 78M12 PDFBibTeX XMLCite \textit{M. Kotovshchikova} et al., Commun. Appl. Math. Comput. Sci. 15, No. 1, 65--87 (2020; Zbl 1444.65033) Full Text: DOI
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
Tavelli, Maurizio; Dumbser, Michael; Charrier, Dominic Etienne; Rannabauer, Leonhard; Weinzierl, Tobias; Bader, Michael A simple diffuse interface approach on adaptive Cartesian grids for the linear elastic wave equations with complex topography. (English) Zbl 1452.74113 J. Comput. Phys. 386, 158-189 (2019). MSC: 74S05 74S10 74J05 65M50 65M60 86A15 86-08 65Z05 PDFBibTeX XMLCite \textit{M. Tavelli} et al., J. Comput. Phys. 386, 158--189 (2019; Zbl 1452.74113) Full Text: DOI arXiv
Ioriatti, Matteo; Dumbser, Michael A posteriori sub-cell finite volume limiting of staggered semi-implicit discontinuous Galerkin schemes for the shallow water equations. (English) Zbl 1403.76046 Appl. Numer. Math. 135, 443-480 (2019). MSC: 76M10 65M60 PDFBibTeX XMLCite \textit{M. Ioriatti} and \textit{M. Dumbser}, Appl. Numer. Math. 135, 443--480 (2019; Zbl 1403.76046) Full Text: DOI
Christophe, Alexandra; Descombes, Stéphane; Lanteri, Stéphane An implicit hybridized discontinuous Galerkin method for the 3D time-domain Maxwell equations. (English) Zbl 1426.78031 Appl. Math. Comput. 319, 395-408 (2018). MSC: 78M10 65M60 78A10 PDFBibTeX XMLCite \textit{A. Christophe} et al., Appl. Math. Comput. 319, 395--408 (2018; Zbl 1426.78031) Full Text: DOI Link
Tavelli, Maurizio; Dumbser, Michael Arbitrary high order accurate space-time discontinuous Galerkin finite element schemes on staggered unstructured meshes for linear elasticity. (English) Zbl 1406.74647 J. Comput. Phys. 366, 386-414 (2018). MSC: 74S05 74J20 74J05 74B05 PDFBibTeX XMLCite \textit{M. Tavelli} and \textit{M. Dumbser}, J. Comput. Phys. 366, 386--414 (2018; Zbl 1406.74647) Full Text: DOI arXiv
Grote, Marcus J.; Mehlin, Michaela; Sauter, Stefan A. Convergence analysis of energy conserving explicit local time-stepping methods for the wave equation. (English) Zbl 1448.65160 SIAM J. Numer. Anal. 56, No. 2, 994-1021 (2018). MSC: 65M60 65M20 65M12 65M15 65L06 65L20 PDFBibTeX XMLCite \textit{M. J. Grote} et al., SIAM J. Numer. Anal. 56, No. 2, 994--1021 (2018; Zbl 1448.65160) Full Text: DOI arXiv
Dudley Ward, N. F.; Lähivaara, T.; Eveson, S. A discontinuous Galerkin method for poroelastic wave propagation: the two-dimensional case. (English) Zbl 1380.65259 J. Comput. Phys. 350, 690-727 (2017). MSC: 65M60 74J20 76S05 PDFBibTeX XMLCite \textit{N. F. Dudley Ward} et al., J. Comput. Phys. 350, 690--727 (2017; Zbl 1380.65259) Full Text: DOI Link
Yan, Su; Jin, Jian-Ming A continuity-preserving and divergence-cleaning algorithm based on purely and damped hyperbolic Maxwell equations in inhomogeneous media. (English) Zbl 1375.78029 J. Comput. Phys. 334, 392-418 (2017). MSC: 78A48 78M10 65M60 PDFBibTeX XMLCite \textit{S. Yan} and \textit{J.-M. Jin}, J. Comput. Phys. 334, 392--418 (2017; Zbl 1375.78029) Full Text: DOI
Rietmann, Max; Grote, Marcus; Peter, Daniel; Schenk, Olaf Newmark local time stepping on high-performance computing architectures. (English) Zbl 1375.86010 J. Comput. Phys. 334, 308-326 (2017). MSC: 86A15 65M50 PDFBibTeX XMLCite \textit{M. Rietmann} et al., J. Comput. Phys. 334, 308--326 (2017; Zbl 1375.86010) Full Text: DOI
Abedi, Reza; Mudaliar, Saba An asynchronous spacetime discontinuous Galerkin finite element method for time domain electromagnetics. (English) Zbl 1375.78034 J. Comput. Phys. 351, 121-144 (2017). MSC: 78M10 78A45 PDFBibTeX XMLCite \textit{R. Abedi} and \textit{S. Mudaliar}, J. Comput. Phys. 351, 121--144 (2017; Zbl 1375.78034) 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
Chabassier, J.; Imperiale, S. Fourth-order energy-preserving locally implicit time discretization for linear wave equations. (English) Zbl 1352.65334 Int. J. Numer. Methods Eng. 106, No. 8, 593-622 (2016). MSC: 65M60 65M12 PDFBibTeX XMLCite \textit{J. Chabassier} and \textit{S. Imperiale}, Int. J. Numer. Methods Eng. 106, No. 8, 593--622 (2016; Zbl 1352.65334) Full Text: DOI HAL
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 Link
Boscheri, Walter; Dumbser, Michael; Zanotti, Olindo High order cell-centered Lagrangian-type finite volume schemes with time-accurate local time stepping on unstructured triangular meshes. (English) Zbl 1349.76311 J. Comput. Phys. 291, 120-150 (2015). MSC: 76M12 65M08 76N15 76W05 76Y05 PDFBibTeX XMLCite \textit{W. Boscheri} et al., J. Comput. Phys. 291, 120--150 (2015; Zbl 1349.76311) Full Text: DOI arXiv
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
Grote, Marcus J.; Mehlin, Michaela; Mitkova, Teodora Runge-Kutta-based explicit local time-stepping methods for wave propagation. (English) Zbl 1320.65140 SIAM J. Sci. Comput. 37, No. 2, A747-A775 (2015). MSC: 65M60 65L06 PDFBibTeX XMLCite \textit{M. J. Grote} et al., SIAM J. Sci. Comput. 37, No. 2, A747--A775 (2015; Zbl 1320.65140) Full Text: DOI Link
Hochbruck, Marlis; Pažur, Tomislav Implicit Runge-Kutta methods and discontinuous Galerkin discretizations for linear Maxwell’s equations. (English) Zbl 1312.65161 SIAM J. Numer. Anal. 53, No. 1, 485-507 (2015). MSC: 65M60 78M10 65J08 65M12 65M15 PDFBibTeX XMLCite \textit{M. Hochbruck} and \textit{T. Pažur}, SIAM J. Numer. Anal. 53, No. 1, 485--507 (2015; Zbl 1312.65161) Full Text: DOI Link
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
Lilienthal, M.; Schnepp, S. M.; Weiland, T. Non-dissipative space-time \(hp\)-discontinuous Galerkin method for the time-dependent Maxwell equations. (English) Zbl 1349.65460 J. Comput. Phys. 275, 589-607 (2014). MSC: 65M60 65M50 PDFBibTeX XMLCite \textit{M. Lilienthal} et al., J. Comput. Phys. 275, 589--607 (2014; Zbl 1349.65460) Full Text: DOI arXiv
Angulo, L. D.; Alvarez, J.; Teixeira, F. L.; Pantoja, M. F.; Garcia, S. G. Causal-path local time-stepping in the discontinuous Galerkin method for Maxwell’s equations. (English) Zbl 1349.78061 J. Comput. Phys. 256, 678-695 (2014). MSC: 78M10 65M60 78A25 78A40 PDFBibTeX XMLCite \textit{L. D. Angulo} et al., J. Comput. Phys. 256, 678--695 (2014; Zbl 1349.78061) Full Text: DOI arXiv
Dumbser, Michael; Hidalgo, Arturo; Zanotti, Olindo High order space-time adaptive ADER-WENO finite volume schemes for non-conservative hyperbolic systems. (English) Zbl 1295.65088 Comput. Methods Appl. Mech. Eng. 268, 359-387 (2014). MSC: 65M08 PDFBibTeX XMLCite \textit{M. Dumbser} et al., Comput. Methods Appl. Mech. Eng. 268, 359--387 (2014; Zbl 1295.65088) Full Text: DOI arXiv
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
Tavelli, M.; Dumbser, Michael; Casulli, V. High resolution methods for scalar transport problems in compliant systems of arteries. (English) Zbl 1302.76134 Appl. Numer. Math. 74, 62-82 (2013). MSC: 76M20 65M06 76Z05 92C35 PDFBibTeX XMLCite \textit{M. Tavelli} et al., Appl. Numer. Math. 74, 62--82 (2013; Zbl 1302.76134) Full Text: DOI
Descombes, Stéphane; Lanteri, Stéphane; Moya, Ludovic Locally implicit time integration strategies in a discontinuous Galerkin method for Maxwell’s equations. (English) Zbl 1266.78030 J. Sci. Comput. 56, No. 1, 190-218 (2013). MSC: 78M10 PDFBibTeX XMLCite \textit{S. Descombes} et al., J. Sci. Comput. 56, No. 1, 190--218 (2013; Zbl 1266.78030) Full Text: DOI Link
Grote, Marcus J.; Mitkova, Teodora Explicit local time-stepping methods for Maxwell’s equations. (English) Zbl 1210.78026 J. Comput. Appl. Math. 234, No. 12, 3283-3302 (2010). Reviewer: Gunther Schmidt (Berlin) MSC: 78M10 65M60 65M12 PDFBibTeX XMLCite \textit{M. J. Grote} and \textit{T. Mitkova}, J. Comput. Appl. Math. 234, No. 12, 3283--3302 (2010; Zbl 1210.78026) Full Text: DOI