Gómez-Molina, Pedro; Sanz-Lorenzo, Luis; Carpio, Jaime A stable conservative Lagrange-Galerkin scheme to pure convection equations with mesh intersection. (English) Zbl 07811313 J. Comput. Phys. 497, Article ID 112625, 21 p. (2024). MSC: 65Mxx 76Mxx 65Nxx PDFBibTeX XMLCite \textit{P. Gómez-Molina} et al., J. Comput. Phys. 497, Article ID 112625, 21 p. (2024; Zbl 07811313) Full Text: DOI
Mantri, Yogiraj; Öffner, Philipp; Ricchiuto, Mario Fully well-balanced entropy controlled discontinuous Galerkin spectral element method for shallow water flows: global flux quadrature and cell entropy correction. (English) Zbl 07797652 J. Comput. Phys. 498, Article ID 112673, 35 p. (2024). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{Y. Mantri} et al., J. Comput. Phys. 498, Article ID 112673, 35 p. (2024; Zbl 07797652) Full Text: DOI arXiv
Lucca, A.; Busto, S.; Müller, L. O.; Toro, E. F.; Dumbser, M. A semi-implicit finite volume scheme for blood flow in elastic and viscoelastic vessels. (English) Zbl 07766248 J. Comput. Phys. 495, Article ID 112530, 42 p. (2023). MSC: 76Mxx 92Cxx 76Zxx PDFBibTeX XMLCite \textit{A. Lucca} et al., J. Comput. Phys. 495, Article ID 112530, 42 p. (2023; Zbl 07766248) Full Text: DOI
Fambri, F.; Zampa, E.; Busto, S.; Río-Martín, L.; Hindenlang, F.; Sonnendrücker, E.; Dumbser, M. A well-balanced and exactly divergence-free staggered semi-implicit hybrid finite volume / finite element scheme for the incompressible MHD equations. (English) Zbl 07748072 J. Comput. Phys. 493, Article ID 112493, 48 p. (2023). MSC: 76Mxx 65Mxx 76Wxx PDFBibTeX XMLCite \textit{F. Fambri} et al., J. Comput. Phys. 493, Article ID 112493, 48 p. (2023; Zbl 07748072) Full Text: DOI arXiv
Zhang, Zhihao; Duan, Junming; Tang, Huazhong High-order accurate well-balanced energy stable adaptive moving mesh finite difference schemes for the shallow water equations with non-flat bottom topography. (English) Zbl 07742921 J. Comput. Phys. 492, Article ID 112451, 33 p. (2023). MSC: 65Mxx 76Mxx 65Nxx PDFBibTeX XMLCite \textit{Z. Zhang} et al., J. Comput. Phys. 492, Article ID 112451, 33 p. (2023; Zbl 07742921) Full Text: DOI arXiv
Jung, Jaeyoung; Hwang, Jin Hwan Path-conservative positivity-preserving well-balanced finite volume WENO method for porous shallow water equations. (English) Zbl 07715250 J. Comput. Phys. 490, Article ID 112321, 33 p. (2023). MSC: 76Mxx 76Bxx 65Mxx PDFBibTeX XMLCite \textit{J. Jung} and \textit{J. H. Hwang}, J. Comput. Phys. 490, Article ID 112321, 33 p. (2023; Zbl 07715250) Full Text: DOI
Bécache, Éliane; Bonnet-Ben Dhia, Anne-Sophie; Fliss, Sonia; Tonnoir, Antoine The half-space matching method for elastodynamic scattering problems in unbounded domains. (English) Zbl 07715249 J. Comput. Phys. 490, Article ID 112320, 31 p. (2023). MSC: 65Nxx 74Jxx 74Sxx PDFBibTeX XMLCite \textit{É. Bécache} et al., J. Comput. Phys. 490, Article ID 112320, 31 p. (2023; Zbl 07715249) Full Text: DOI
Bouziani, Nacime; Nataf, Frédéric; Tournier, Pierre-Henri A unified framework for double sweep methods for the Helmholtz equation. (English) Zbl 07715235 J. Comput. Phys. 490, Article ID 112305, 21 p. (2023). MSC: 65Nxx 65Fxx 35Jxx PDFBibTeX XMLCite \textit{N. Bouziani} et al., J. Comput. Phys. 490, Article ID 112305, 21 p. (2023; Zbl 07715235) Full Text: DOI arXiv
Navas-Montilla, Adrián; Echeverribar, Isabel A family of well-balanced WENO and TENO schemes for atmospheric flows. (English) Zbl 07705914 J. Comput. Phys. 489, Article ID 112273, 26 p. (2023). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{A. Navas-Montilla} and \textit{I. Echeverribar}, J. Comput. Phys. 489, Article ID 112273, 26 p. (2023; Zbl 07705914) Full Text: DOI
Du, Yu; Zhang, Jiwei Numerical solutions for nonlocal wave equations by perfectly matched layers. II: The two-dimensional case. (English) Zbl 07696974 J. Comput. Phys. 488, Article ID 112209, 20 p. (2023). MSC: 65Nxx 65Mxx 35Qxx PDFBibTeX XMLCite \textit{Y. Du} and \textit{J. Zhang}, J. Comput. Phys. 488, Article ID 112209, 20 p. (2023; Zbl 07696974) Full Text: DOI
Carrillo, H.; Macca, E.; Parés, Carlos; Russo, G. Well-balanced adaptive compact approximate Taylor methods for systems of balance laws. (English) Zbl 07660341 J. Comput. Phys. 478, Article ID 111979, 51 p. (2023). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{H. Carrillo} et al., J. Comput. Phys. 478, Article ID 111979, 51 p. (2023; Zbl 07660341) Full Text: DOI arXiv
Barnafi, Nicolás A.; Dassi, Franco; Scacchi, Simone Parallel block preconditioners for virtual element discretizations of the time-dependent Maxwell equations. (English) Zbl 07660334 J. Comput. Phys. 478, Article ID 111970, 16 p. (2023). MSC: 65Nxx 65Fxx 78Axx PDFBibTeX XMLCite \textit{N. A. Barnafi} et al., J. Comput. Phys. 478, Article ID 111970, 16 p. (2023; Zbl 07660334) Full Text: DOI arXiv
Zhao, Zhuang; Zhang, Min Well-balanced fifth-order finite difference Hermite WENO scheme for the shallow water equations. (English) Zbl 07649281 J. Comput. Phys. 475, Article ID 111860, 18 p. (2023). MSC: 65Mxx 76Mxx 76Bxx PDFBibTeX XMLCite \textit{Z. Zhao} and \textit{M. Zhang}, J. Comput. Phys. 475, Article ID 111860, 18 p. (2023; Zbl 07649281) Full Text: DOI arXiv
Zhang, Jiahui; Xia, Yinhua; Xu, Yan Structure-preserving finite volume arbitrary Lagrangian-Eulerian WENO schemes for the shallow water equations. (English) Zbl 07625425 J. Comput. Phys. 473, Article ID 111758, 31 p. (2023). MSC: 76Mxx 65Mxx 35Lxx PDFBibTeX XMLCite \textit{J. Zhang} et al., J. Comput. Phys. 473, Article ID 111758, 31 p. (2023; Zbl 07625425) Full Text: DOI arXiv
Adjerid, Slimane; Lin, Tao; Meghaichi, Haroun An immersed discontinuous Galerkin method for wave propagation in acoustic elastic media. (English) Zbl 07620353 J. Comput. Phys. 472, Article ID 111651, 31 p. (2023). MSC: 65Mxx 65Nxx 65Lxx PDFBibTeX XMLCite \textit{S. Adjerid} et al., J. Comput. Phys. 472, Article ID 111651, 31 p. (2023; Zbl 07620353) Full Text: DOI
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
Piccioli, Francesco; Bertaglia, Giulia; Valiani, Alessandro; Caleffi, Valerio Modeling blood flow in networks of viscoelastic vessels with the 1-D augmented fluid-structure interaction system. (English) Zbl 07540379 J. Comput. Phys. 464, Article ID 111364, 31 p. (2022). MSC: 92Cxx 76Zxx 76Mxx PDFBibTeX XMLCite \textit{F. Piccioli} et al., J. Comput. Phys. 464, Article ID 111364, 31 p. (2022; Zbl 07540379) Full Text: DOI arXiv
Du, Yu; Zhang, Jiwei Perfectly matched layers for nonlocal Helmholtz equations. II: Multi-dimensional cases. (English) Zbl 07540346 J. Comput. Phys. 464, Article ID 111192, 20 p. (2022). MSC: 65Nxx 78Axx 65Mxx PDFBibTeX XMLCite \textit{Y. Du} and \textit{J. Zhang}, J. Comput. Phys. 464, Article ID 111192, 20 p. (2022; Zbl 07540346) Full Text: DOI arXiv
Xie, Bin; Huang, Yichen; Xiao, Feng A high-fidelity solver based on hybrid numerical methods on unstructured grids for incompressible multiphase flows. (English) Zbl 07536789 J. Comput. Phys. 463, Article ID 111299, 28 p. (2022). MSC: 76Mxx 65Mxx 76Dxx PDFBibTeX XMLCite \textit{B. Xie} et al., J. Comput. Phys. 463, Article ID 111299, 28 p. (2022; Zbl 07536789) Full Text: DOI
Jiang, Haili; Tang, Huazhong; Wu, Kailiang Positivity-preserving well-balanced central discontinuous Galerkin schemes for the Euler equations under gravitational fields. (English) Zbl 07536787 J. Comput. Phys. 463, Article ID 111297, 41 p. (2022). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{H. Jiang} et al., J. Comput. Phys. 463, Article ID 111297, 41 p. (2022; Zbl 07536787) Full Text: DOI arXiv
Cheng, Mingyang; Tang, Lingyan; Chen, Yaming; Song, Songhe A well-balanced weighted compact nonlinear scheme for shallow water equations on curvilinear grids. (English) Zbl 07536757 J. Comput. Phys. 463, Article ID 111250, 11 p. (2022). MSC: 65Mxx 76Mxx 76Bxx PDFBibTeX XMLCite \textit{M. Cheng} et al., J. Comput. Phys. 463, Article ID 111250, 11 p. (2022; Zbl 07536757) Full Text: DOI
Goloviznin, V. M.; Maiorov, Pavel A.; Maiorov, Petr A.; Solovjev, A. V. Validation of the low dissipation computational algorithm CABARET-MFSH for multilayer hydrostatic flows with a free surface on the lock-release experiments. (English) Zbl 07536753 J. Comput. Phys. 463, Article ID 111239, 19 p. (2022). MSC: 76Mxx 65Mxx 35Lxx PDFBibTeX XMLCite \textit{V. M. Goloviznin} et al., J. Comput. Phys. 463, Article ID 111239, 19 p. (2022; Zbl 07536753) Full Text: DOI
Peyvan, Ahmad; Li, Dongru; Komperda, Jonathan; Mashayek, Farzad Oscillation-free nodal discontinuous spectral element method for the simulation of compressible multicomponent flows. (English) Zbl 07517747 J. Comput. Phys. 452, Article ID 110921, 26 p. (2022). MSC: 76Mxx 65Mxx 76Nxx PDFBibTeX XMLCite \textit{A. Peyvan} et al., J. Comput. Phys. 452, Article ID 110921, 26 p. (2022; Zbl 07517747) Full Text: DOI
Haidar, Ali; Marche, Fabien; Vilar, Francois A posteriori finite-volume local subcell correction of high-order discontinuous Galerkin schemes for the nonlinear shallow-water equations. (English) Zbl 07517733 J. Comput. Phys. 452, Article ID 110902, 34 p. (2022). MSC: 65Mxx 76Mxx 76Bxx PDFBibTeX XMLCite \textit{A. Haidar} et al., J. Comput. Phys. 452, Article ID 110902, 34 p. (2022; Zbl 07517733) Full Text: DOI
Demou, Andreas D.; Scapin, Nicolò; Pelanti, Marica; Brandt, Luca A pressure-based diffuse interface method for low-Mach multiphase flows with mass transfer. (English) Zbl 07516814 J. Comput. Phys. 448, Article ID 110730, 26 p. (2022). MSC: 76Mxx 76Txx 76Nxx PDFBibTeX XMLCite \textit{A. D. Demou} et al., J. Comput. Phys. 448, Article ID 110730, 26 p. (2022; Zbl 07516814) Full Text: DOI arXiv
Antoine, Xavier; Zhao, Xiaofei Pseudospectral methods with PML for nonlinear Klein-Gordon equations in classical and non-relativistic regimes. (English) Zbl 07516812 J. Comput. Phys. 448, Article ID 110728, 24 p. (2022). MSC: 35Qxx 65Mxx 65Nxx PDFBibTeX XMLCite \textit{X. Antoine} and \textit{X. Zhao}, J. Comput. Phys. 448, Article ID 110728, 24 p. (2022; Zbl 07516812) Full Text: DOI arXiv
Schneider, Kleiton A.; Gallardo, José M.; Balsara, Dinshaw S.; Nkonga, Boniface; Parés, Carlos Multidimensional approximate Riemann solvers for hyperbolic nonconservative systems. Applications to shallow water systems. (English) Zbl 07515448 J. Comput. Phys. 444, Article ID 110547, 49 p. (2021). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{K. A. Schneider} et al., J. Comput. Phys. 444, Article ID 110547, 49 p. (2021; Zbl 07515448) Full Text: DOI
Yang, Ruize; Yang, Yang; Xing, Yulong High order sign-preserving and well-balanced exponential Runge-Kutta discontinuous Galerkin methods for the shallow water equations with friction. (English) Zbl 07515445 J. Comput. Phys. 444, Article ID 110543, 23 p. (2021). MSC: 76Mxx 65Mxx 76Bxx PDFBibTeX XMLCite \textit{R. Yang} et al., J. Comput. Phys. 444, Article ID 110543, 23 p. (2021; Zbl 07515445) Full Text: DOI
Montecinos, Gino I. A universal centred high-order method based on implicit Taylor series expansion with fast second order evolution of spatial derivatives. (English) Zbl 07515434 J. Comput. Phys. 443, Article ID 110535, 28 p. (2021). MSC: 65Mxx 35Lxx 76Mxx PDFBibTeX XMLCite \textit{G. I. Montecinos}, J. Comput. Phys. 443, Article ID 110535, 28 p. (2021; Zbl 07515434) Full Text: DOI arXiv
Stanziola, Antonio; Arridge, Simon R.; Cox, Ben T.; Treeby, Bradley E. A Helmholtz equation solver using unsupervised learning: application to transcranial ultrasound. (English) Zbl 07513817 J. Comput. Phys. 441, Article ID 110430, 19 p. (2021). MSC: 65Nxx 35Jxx 65Fxx PDFBibTeX XMLCite \textit{A. Stanziola} et al., J. Comput. Phys. 441, Article ID 110430, 19 p. (2021; Zbl 07513817) Full Text: DOI arXiv
Duan, Junming; Tang, Huazhong High-order accurate entropy stable finite difference schemes for the shallow water magnetohydrodynamics. (English) Zbl 07511453 J. Comput. Phys. 431, Article ID 110136, 26 p. (2021). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{J. Duan} and \textit{H. Tang}, J. Comput. Phys. 431, Article ID 110136, 26 p. (2021; Zbl 07511453) 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, Walter; Pareschi, Lorenzo High order pressure-based semi-implicit IMEX schemes for the 3D Navier-Stokes equations at all Mach numbers. (English) Zbl 07508522 J. Comput. Phys. 434, Article ID 110206, 32 p. (2021). MSC: 65Mxx 76Mxx 76Nxx PDFBibTeX XMLCite \textit{W. Boscheri} and \textit{L. Pareschi}, J. Comput. Phys. 434, Article ID 110206, 32 p. (2021; Zbl 07508522) Full Text: DOI arXiv
Parés, Carlos; Parés-Pulido, Carlos Well-balanced high-order finite difference methods for systems of balance laws. (English) Zbl 07508487 J. Comput. Phys. 425, Article ID 109880, 35 p. (2021). MSC: 76-XX 35-XX PDFBibTeX XMLCite \textit{C. Parés} and \textit{C. Parés-Pulido}, J. Comput. Phys. 425, Article ID 109880, 35 p. (2021; Zbl 07508487) 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
Marchner, Philippe; Bériot, Hadrien; Antoine, Xavier; Geuzaine, Christophe Stable perfectly matched layers with Lorentz transformation for the convected Helmholtz equation. (English) Zbl 1515.65298 J. Comput. Phys. 433, Article ID 110180, 22 p. (2021). MSC: 65N30 35J05 PDFBibTeX XMLCite \textit{P. Marchner} et al., J. Comput. Phys. 433, Article ID 110180, 22 p. (2021; Zbl 1515.65298) Full Text: DOI HAL
Liu, Xin A steady-state-preserving scheme for shallow water flows in channels. (English) Zbl 07508418 J. Comput. Phys. 423, Article ID 109803, 22 p. (2020). MSC: 76-XX 65-XX PDFBibTeX XMLCite \textit{X. Liu}, J. Comput. Phys. 423, Article ID 109803, 22 p. (2020; Zbl 07508418) Full Text: DOI
Ghitti, Beatrice; Berthon, Christophe; Le, Minh Hoang; Toro, Eleuterio F. A fully well-balanced scheme for the 1D blood flow equations with friction source term. (English) Zbl 07508369 J. Comput. Phys. 421, Article ID 109750, 33 p. (2020). MSC: 76-XX 65-XX PDFBibTeX XMLCite \textit{B. Ghitti} et al., J. Comput. Phys. 421, Article ID 109750, 33 p. (2020; Zbl 07508369) Full Text: DOI
Bermúdez, A.; Busto, S.; Dumbser, M.; Ferrín, J. L.; Saavedra, L.; Vázquez-Cendón, M. E. A staggered semi-implicit hybrid FV/FE projection method for weakly compressible flows. (English) Zbl 07508366 J. Comput. Phys. 421, Article ID 109743, 31 p. (2020). MSC: 76-XX 35-XX PDFBibTeX XMLCite \textit{A. Bermúdez} et al., J. Comput. Phys. 421, Article ID 109743, 31 p. (2020; Zbl 07508366) Full Text: DOI arXiv
Caudron, B.; Antoine, X.; Geuzaine, C. Optimized weak coupling of boundary element and finite element methods for acoustic scattering. (English) Zbl 07508362 J. Comput. Phys. 421, Article ID 109737, 20 p. (2020). MSC: 35-XX 65-XX PDFBibTeX XMLCite \textit{B. Caudron} et al., J. Comput. Phys. 421, Article ID 109737, 20 p. (2020; Zbl 07508362) Full Text: DOI HAL
Zhao, Jianli; Zhang, Qian; Yang, Yang; Xia, Yinhua Conservative discontinuous Galerkin methods for the nonlinear Serre equations. (English) Zbl 07508355 J. Comput. Phys. 421, Article ID 109729, 21 p. (2020). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{J. Zhao} et al., J. Comput. Phys. 421, Article ID 109729, 21 p. (2020; Zbl 07508355) Full Text: DOI
Alvarez Laguna, A.; Pichard, T.; Magin, T.; Chabert, P.; Bourdon, A.; Massot, M. An asymptotic preserving well-balanced scheme for the isothermal fluid equations in low-temperature plasmas at low-pressure. (English) Zbl 07507224 J. Comput. Phys. 419, Article ID 109634, 29 p. (2020). MSC: 82-XX 76-XX PDFBibTeX XMLCite \textit{A. Alvarez Laguna} et al., J. Comput. Phys. 419, Article ID 109634, 29 p. (2020; Zbl 07507224) Full Text: DOI arXiv
Piao, Xiangfan; Kim, Philsu An efficient trajectory tracking algorithm for the backward semi-Lagrangian method of solving the guiding center problems. (English) Zbl 07506195 J. Comput. Phys. 418, Article ID 109664, 19 p. (2020). MSC: 70-XX 76-XX PDFBibTeX XMLCite \textit{X. Piao} and \textit{P. Kim}, J. Comput. Phys. 418, Article ID 109664, 19 p. (2020; Zbl 07506195) Full Text: DOI
Arpaia, Luca; Ricchiuto, Mario Well balanced residual distribution for the ALE spherical shallow water equations on moving adaptive meshes. (English) Zbl 1453.65295 J. Comput. Phys. 405, Article ID 109173, 32 p. (2020). MSC: 65M50 86A05 76U60 65Z05 86A15 PDFBibTeX XMLCite \textit{L. Arpaia} and \textit{M. Ricchiuto}, J. Comput. Phys. 405, Article ID 109173, 32 p. (2020; Zbl 1453.65295) Full Text: DOI HAL
Uilhoorn, F. E. Numerical issues in gas flow dynamics with hydraulic shocks using high order finite volume WENO schemes. (English) Zbl 1453.76112 J. Comput. Phys. 404, Article ID 109137, 26 p. (2020). MSC: 76M12 65M08 76N15 76L05 PDFBibTeX XMLCite \textit{F. E. Uilhoorn}, J. Comput. Phys. 404, Article ID 109137, 26 p. (2020; Zbl 1453.76112) Full Text: DOI
Duran, Arnaud; Vila, Jean-Paul; Baraille, Rémy Energy-stable staggered schemes for the shallow water equations. (English) Zbl 1453.65315 J. Comput. Phys. 401, Article ID 109051, 24 p. (2020). MSC: 65M60 65M12 76M10 65Z05 PDFBibTeX XMLCite \textit{A. Duran} et al., J. Comput. Phys. 401, Article ID 109051, 24 p. (2020; Zbl 1453.65315) Full Text: DOI HAL
Modave, A.; Geuzaine, C.; Antoine, X. Corner treatments for high-order local absorbing boundary conditions in high-frequency acoustic scattering. (English) Zbl 1453.65340 J. Comput. Phys. 401, Article ID 109029, 24 p. (2020). MSC: 65M60 35J05 PDFBibTeX XMLCite \textit{A. Modave} et al., J. Comput. Phys. 401, Article ID 109029, 24 p. (2020; Zbl 1453.65340) Full Text: DOI HAL
Kim, Philsu; Kim, Dojin; Piao, Xiangfan; Bak, Soyoon A completely explicit scheme of Cauchy problem in BSLM for solving the Navier-Stokes equations. (English) Zbl 1453.76034 J. Comput. Phys. 401, Article ID 109028, 16 p. (2020). MSC: 76D05 65M22 65N06 PDFBibTeX XMLCite \textit{P. Kim} et al., J. Comput. Phys. 401, Article ID 109028, 16 p. (2020; Zbl 1453.76034) Full Text: DOI
Hao, Bingjie; Lee, Kok-Meng; Bai, Kun Distributed current source modeling method for 3D eddy current problem in magnetic conductor with discrete state-space \(\mathbf{J}-\phi\) formulation. (English) Zbl 1453.78002 J. Comput. Phys. 401, Article ID 109027, 16 p. (2020). MSC: 78A25 78M20 PDFBibTeX XMLCite \textit{B. Hao} et al., J. Comput. Phys. 401, Article ID 109027, 16 p. (2020; Zbl 1453.78002) Full Text: DOI
Guermond, Jean-Luc; Popov, Bojan; Tovar, Eric; Kees, Chris Robust explicit relaxation technique for solving the Green-Naghdi equations. (English) Zbl 1453.65321 J. Comput. Phys. 399, Article ID 108917, 17 p. (2019). MSC: 65M60 76M10 35L50 PDFBibTeX XMLCite \textit{J.-L. Guermond} et al., J. Comput. Phys. 399, Article ID 108917, 17 p. (2019; Zbl 1453.65321) Full Text: DOI
Vermeil de Conchard, Antoine; Mao, Huina; Rumpler, Romain A perfectly matched layer formulation adapted for fast frequency sweeps of exterior acoustics finite element models. (English) Zbl 1453.65418 J. Comput. Phys. 398, Article ID 108878, 16 p. (2019). MSC: 65N30 65Z05 PDFBibTeX XMLCite \textit{A. Vermeil de Conchard} et al., J. Comput. Phys. 398, Article ID 108878, 16 p. (2019; Zbl 1453.65418) Full Text: DOI
Yang, L. M.; Shu, C.; Yang, W. M.; Wu, J. An improved three-dimensional implicit discrete velocity method on unstructured meshes for all Knudsen number flows. (English) Zbl 1452.76214 J. Comput. Phys. 396, 738-760 (2019). MSC: 76P05 76M12 65Y05 PDFBibTeX XMLCite \textit{L. M. Yang} et al., J. Comput. Phys. 396, 738--760 (2019; Zbl 1452.76214) Full Text: DOI
Bermúdez, Alfredo; Shabani, Mohsen Finite element solution of isothermal gas flow in a network. (English) Zbl 1452.76082 J. Comput. Phys. 396, 616-652 (2019). MSC: 76M10 76N15 90B10 PDFBibTeX XMLCite \textit{A. Bermúdez} and \textit{M. Shabani}, J. Comput. Phys. 396, 616--652 (2019; Zbl 1452.76082) Full Text: DOI
Antoine, Xavier; Lorin, Emmanuel A simple pseudospectral method for the computation of the time-dependent Dirac equation with perfectly matched layers. (English) Zbl 1452.65267 J. Comput. Phys. 395, 583-601 (2019). MSC: 65M70 35Q41 81Q05 65Z05 PDFBibTeX XMLCite \textit{X. Antoine} and \textit{E. Lorin}, J. Comput. Phys. 395, 583--601 (2019; Zbl 1452.65267) Full Text: DOI HAL
Liu, Lei; Zhang, Junqi; Song, Chongmin; Birk, Carolin; Saputra, Albert A.; Gao, Wei Automatic three-dimensional acoustic-structure interaction analysis using the scaled boundary finite element method. (English) Zbl 1452.65350 J. Comput. Phys. 395, 432-460 (2019). MSC: 65N30 65Z05 74B05 74S05 PDFBibTeX XMLCite \textit{L. Liu} et al., J. Comput. Phys. 395, 432--460 (2019; Zbl 1452.65350) Full Text: DOI
Antoine, Xavier; Lorin, Emmanuel Towards perfectly matched layers for time-dependent space fractional PDEs. (English) Zbl 1452.65266 J. Comput. Phys. 391, 59-90 (2019). MSC: 65M70 35R11 35Q55 PDFBibTeX XMLCite \textit{X. Antoine} and \textit{E. Lorin}, J. Comput. Phys. 391, 59--90 (2019; Zbl 1452.65266) Full Text: DOI HAL
Colas, L.; Jacquot, J.; Hillairet, J.; Helou, W.; Tierens, W.; Heuraux, S.; Faudot, E.; Lu, L.; Urbanczyk, G. Perfectly matched layers for time-harmonic transverse electric wave propagation in cylindrical and toroidal gyrotropic media. (English) Zbl 1452.78028 J. Comput. Phys. 389, 94-110 (2019). MSC: 78M10 78A40 PDFBibTeX XMLCite \textit{L. Colas} et al., J. Comput. Phys. 389, 94--110 (2019; Zbl 1452.78028) Full Text: DOI Link
Chern, Albert A reflectionless discrete perfectly matched layer. (English) Zbl 1451.65132 J. Comput. Phys. 381, 91-109 (2019). MSC: 65M22 30G25 65E05 35L05 65M06 PDFBibTeX XMLCite \textit{A. Chern}, J. Comput. Phys. 381, 91--109 (2019; Zbl 1451.65132) Full Text: DOI arXiv
Navas-Montilla, A.; Murillo, J. Improved Riemann solvers for an accurate resolution of 1D and 2D shock profiles with application to hydraulic jumps. (English) Zbl 1416.76157 J. Comput. Phys. 378, 445-476 (2019). MSC: 76M12 35L65 76L05 PDFBibTeX XMLCite \textit{A. Navas-Montilla} and \textit{J. Murillo}, J. Comput. Phys. 378, 445--476 (2019; Zbl 1416.76157) Full Text: DOI Link
Parés, Carlos; Pimentel, Ernesto The Riemann problem for the shallow water equations with discontinuous topography: the wet-dry case. (English) Zbl 1416.76025 J. Comput. Phys. 378, 344-365 (2019). MSC: 76B15 76B03 65M08 35Q35 PDFBibTeX XMLCite \textit{C. Parés} and \textit{E. Pimentel}, J. Comput. Phys. 378, 344--365 (2019; Zbl 1416.76025) Full Text: DOI
Bériot, Hadrien; Gabard, Gwénaël Anisotropic adaptivity of the \(p\)-FEM for time-harmonic acoustic wave propagation. (English) Zbl 1416.76096 J. Comput. Phys. 378, 234-256 (2019). MSC: 76M10 76Q05 65M60 PDFBibTeX XMLCite \textit{H. Bériot} and \textit{G. Gabard}, J. Comput. Phys. 378, 234--256 (2019; Zbl 1416.76096) Full Text: DOI
Navas-Montilla, A.; Murillo, J. 2D well-balanced augmented ADER schemes for the shallow water equations with bed elevation and extension to the rotating frame. (English) Zbl 1415.76476 J. Comput. Phys. 372, 316-348 (2018). MSC: 76M12 76B15 35L50 35Q35 PDFBibTeX XMLCite \textit{A. Navas-Montilla} and \textit{J. Murillo}, J. Comput. Phys. 372, 316--348 (2018; Zbl 1415.76476) 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
Song, T.; Main, A.; Scovazzi, G.; Ricchiuto, M. The shifted boundary method for hyperbolic systems: embedded domain computations of linear waves and shallow water flows. (English) Zbl 1392.76010 J. Comput. Phys. 369, 45-79 (2018). MSC: 76D27 76M30 35Q35 35L50 PDFBibTeX XMLCite \textit{T. Song} et al., J. Comput. Phys. 369, 45--79 (2018; Zbl 1392.76010) Full Text: DOI HAL
Bonev, Boris; Hesthaven, Jan S.; Giraldo, Francis X.; Kopera, Michal A. Discontinuous Galerkin scheme for the spherical shallow water equations with applications to tsunami modeling and prediction. (English) Zbl 1391.76305 J. Comput. Phys. 362, 425-448 (2018). MSC: 76M10 65M60 86A05 PDFBibTeX XMLCite \textit{B. Bonev} et al., J. Comput. Phys. 362, 425--448 (2018; Zbl 1391.76305) Full Text: DOI Link
Daude, F.; Galon, P. A finite-volume approach for compressible single- and two-phase flows in flexible pipelines with fluid-structure interaction. (English) Zbl 1391.76396 J. Comput. Phys. 362, 375-408 (2018). MSC: 76M12 76N15 74F10 74S05 PDFBibTeX XMLCite \textit{F. Daude} and \textit{P. Galon}, J. Comput. Phys. 362, 375--408 (2018; Zbl 1391.76396) Full Text: DOI
Busto, S.; Ferrín, J. L.; Toro, E. F.; Vázquez-Cendón, M. E. A projection hybrid high order finite volume/finite element method for incompressible turbulent flows. (English) Zbl 1380.76052 J. Comput. Phys. 353, 169-192 (2018). MSC: 76M12 76M10 76F60 76V05 76R50 PDFBibTeX XMLCite \textit{S. Busto} et al., J. Comput. Phys. 353, 169--192 (2018; Zbl 1380.76052) Full Text: DOI
Deckers, Elke; Jonckheere, Stijn; Van Belle, Lucas; Claeys, Claus; Desmet, Wim Prediction of transmission, reflection and absorption coefficients of periodic structures using a hybrid wave based – finite element unit cell method. (English) Zbl 1380.74110 J. Comput. Phys. 356, 282-302 (2018). MSC: 74S05 74E05 74J99 PDFBibTeX XMLCite \textit{E. Deckers} et al., J. Comput. Phys. 356, 282--302 (2018; Zbl 1380.74110) Full Text: DOI Link
Li, Gang; Xing, Yulong Well-balanced discontinuous Galerkin methods with hydrostatic reconstruction for the Euler equations with gravitation. (English) Zbl 1375.76089 J. Comput. Phys. 352, 445-462 (2018). MSC: 76M10 76N15 PDFBibTeX XMLCite \textit{G. Li} and \textit{Y. Xing}, J. Comput. Phys. 352, 445--462 (2018; Zbl 1375.76089) Full Text: DOI
Ghigo, Arthur R.; Fullana, Jose-Maria; Lagrée, Pierre-Yves A 2D nonlinear multiring model for blood flow in large elastic arteries. (English) Zbl 1380.92015 J. Comput. Phys. 350, 136-165 (2017). MSC: 92C35 74F10 76Z05 76M12 PDFBibTeX XMLCite \textit{A. R. Ghigo} et al., J. Comput. Phys. 350, 136--165 (2017; Zbl 1380.92015) Full Text: DOI
Bermúdez, Alfredo; López, Xián; Vázquez-Cendón, M. Elena Treating network junctions in finite volume solution of transient gas flow models. (English) Zbl 1380.76050 J. Comput. Phys. 344, 187-209 (2017). MSC: 76M12 35L40 PDFBibTeX XMLCite \textit{A. Bermúdez} et al., J. Comput. Phys. 344, 187--209 (2017; Zbl 1380.76050) Full Text: DOI
Faugeras, Blaise; Heumann, Holger FEM-BEM coupling methods for tokamak plasma axisymmetric free-boundary equilibrium computations in unbounded domains. (English) Zbl 1380.78003 J. Comput. Phys. 343, 201-216 (2017). MSC: 78A30 78M10 78M15 76W05 PDFBibTeX XMLCite \textit{B. Faugeras} and \textit{H. Heumann}, J. Comput. Phys. 343, 201--216 (2017; Zbl 1380.78003) Full Text: DOI HAL
Ghigo, A. R.; Delestre, O.; Fullana, J.-M.; Lagrée, P.-Y. Low-Shapiro hydrostatic reconstruction technique for blood flow simulation in large arteries with varying geometrical and mechanical properties. (English) Zbl 1378.76151 J. Comput. Phys. 331, 108-136 (2017). MSC: 76Z05 92C35 76M12 PDFBibTeX XMLCite \textit{A. R. Ghigo} et al., J. Comput. Phys. 331, 108--136 (2017; Zbl 1378.76151) Full Text: DOI arXiv
Caleffi, Valerio; Valiani, Alessandro Well balancing of the SWE schemes for moving-water steady flows. (English) Zbl 1376.76031 J. Comput. Phys. 342, 85-116 (2017). MSC: 76M12 35Q35 PDFBibTeX XMLCite \textit{V. Caleffi} and \textit{A. Valiani}, J. Comput. Phys. 342, 85--116 (2017; Zbl 1376.76031) Full Text: DOI arXiv
Tavelli, Maurizio; Dumbser, Michael A pressure-based semi-implicit space-time discontinuous Galerkin method on staggered unstructured meshes for the solution of the compressible Navier-Stokes equations at all Mach numbers. (English) Zbl 1376.76028 J. Comput. Phys. 341, 341-376 (2017). MSC: 76M10 76N15 PDFBibTeX XMLCite \textit{M. Tavelli} and \textit{M. Dumbser}, J. Comput. Phys. 341, 341--376 (2017; Zbl 1376.76028) Full Text: DOI arXiv
Navas-Montilla, A.; Murillo, J. Overcoming numerical shockwave anomalies using energy balanced numerical schemes. Application to the shallow water equations with discontinuous topography. (English) Zbl 1376.76034 J. Comput. Phys. 340, 575-616 (2017). MSC: 76M12 35L65 PDFBibTeX XMLCite \textit{A. Navas-Montilla} and \textit{J. Murillo}, J. Comput. Phys. 340, 575--616 (2017; Zbl 1376.76034) Full Text: DOI Link
Michel-Dansac, Victor; Berthon, Christophe; Clain, Stéphane; Foucher, Françoise A well-balanced scheme for the shallow-water equations with topography or Manning friction. (English) Zbl 1375.35389 J. Comput. Phys. 335, 115-154 (2017). MSC: 35Q35 76M12 PDFBibTeX XMLCite \textit{V. Michel-Dansac} et al., J. Comput. Phys. 335, 115--154 (2017; Zbl 1375.35389) Full Text: DOI HAL
Dehghan, Mehdi; Abbaszadeh, Mostafa The use of proper orthogonal decomposition (POD) meshless RBF-FD technique to simulate the shallow water equations. (English) Zbl 1380.65301 J. Comput. Phys. 351, 478-510 (2017). MSC: 65M70 65D05 76M25 35Q35 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Abbaszadeh}, J. Comput. Phys. 351, 478--510 (2017; Zbl 1380.65301) Full Text: DOI
Bermúdez, Alfredo; López, Xián; Vázquez-Cendón, M. Elena Numerical solution of non-isothermal non-adiabatic flow of real gases in pipelines. (English) Zbl 1415.76463 J. Comput. Phys. 323, 126-148 (2016). MSC: 76M12 76N15 65M08 PDFBibTeX XMLCite \textit{A. Bermúdez} et al., J. Comput. Phys. 323, 126--148 (2016; Zbl 1415.76463) Full Text: DOI
Borsche, Raul; Kall, Jochen High order numerical methods for networks of hyperbolic conservation laws coupled with ODEs and lumped parameter models. (English) Zbl 1373.35192 J. Comput. Phys. 327, 678-699 (2016). MSC: 35L65 35L40 35R37 PDFBibTeX XMLCite \textit{R. Borsche} and \textit{J. Kall}, J. Comput. Phys. 327, 678--699 (2016; Zbl 1373.35192) Full Text: DOI arXiv
Busto, S.; Toro, E. F.; Vázquez-Cendón, M. E. Design and analysis of ADER-type schemes for model advection-diffusion-reaction equations. (English) Zbl 1422.65203 J. Comput. Phys. 327, 553-575 (2016). MSC: 65M08 35K57 65M12 65M15 PDFBibTeX XMLCite \textit{S. Busto} et al., J. Comput. Phys. 327, 553--575 (2016; Zbl 1422.65203) Full Text: DOI
Vanzo, Davide; Siviglia, Annunziato; Toro, Eleuterio F. Pollutant transport by shallow water equations on unstructured meshes: hyperbolization of the model and numerical solution via a novel flux splitting scheme. (English) Zbl 1349.76401 J. Comput. Phys. 321, 1-20 (2016). MSC: 76M12 65M08 65M12 76B15 PDFBibTeX XMLCite \textit{D. Vanzo} et al., J. Comput. Phys. 321, 1--20 (2016; Zbl 1349.76401) Full Text: DOI
Tavelli, Maurizio; Dumbser, Michael A staggered space-time discontinuous Galerkin method for the three-dimensional incompressible Navier-Stokes equations on unstructured tetrahedral meshes. (English) Zbl 1349.76271 J. Comput. Phys. 319, 294-323 (2016). MSC: 76M10 65M60 76D05 PDFBibTeX XMLCite \textit{M. Tavelli} and \textit{M. Dumbser}, J. Comput. Phys. 319, 294--323 (2016; Zbl 1349.76271) Full Text: DOI arXiv
Navas-Montilla, A.; Murillo, J. Asymptotically and exactly energy balanced augmented flux-ADER schemes with application to hyperbolic conservation laws with geometric source terms. (English) Zbl 1349.65379 J. Comput. Phys. 317, 108-147 (2016). MSC: 65M08 76M12 PDFBibTeX XMLCite \textit{A. Navas-Montilla} and \textit{J. Murillo}, J. Comput. Phys. 317, 108--147 (2016; Zbl 1349.65379) Full Text: DOI Link
Li, Gang; Xing, Yulong High order finite volume WENO schemes for the Euler equations under gravitational fields. (English) Zbl 1349.76356 J. Comput. Phys. 316, 145-163 (2016). MSC: 76M12 65M08 35Q31 PDFBibTeX XMLCite \textit{G. Li} and \textit{Y. Xing}, J. Comput. Phys. 316, 145--163 (2016; Zbl 1349.76356) Full Text: DOI
Filippini, A. G.; Kazolea, M.; Ricchiuto, M. A flexible genuinely nonlinear approach for nonlinear wave propagation, breaking and run-up. (English) Zbl 1349.76331 J. Comput. Phys. 310, 381-417 (2016). MSC: 76M12 76B15 76M10 PDFBibTeX XMLCite \textit{A. G. Filippini} et al., J. Comput. Phys. 310, 381--417 (2016; Zbl 1349.76331) Full Text: DOI
Dumbser, Michael; Balsara, Dinshaw S. A new efficient formulation of the HLLEM Riemann solver for general conservative and non-conservative hyperbolic systems. (English) Zbl 1349.76603 J. Comput. Phys. 304, 275-319 (2016). MSC: 76M25 65M25 76Dxx 76Txx 76W05 PDFBibTeX XMLCite \textit{M. Dumbser} and \textit{D. S. Balsara}, J. Comput. Phys. 304, 275--319 (2016; Zbl 1349.76603) Full Text: DOI
Cimpeanu, Radu; Martinsson, Anton; Heil, Matthias A parameter-free perfectly matched layer formulation for the finite-element-based solution of the Helmholtz equation. (English) Zbl 1352.65484 J. Comput. Phys. 296, 329-347 (2015). MSC: 65N30 76M10 76Q05 PDFBibTeX XMLCite \textit{R. Cimpeanu} et al., J. Comput. Phys. 296, 329--347 (2015; Zbl 1352.65484) Full Text: DOI Link
Duran, A.; Marche, F.; Turpault, R.; Berthon, C. Asymptotic preserving scheme for the shallow water equations with source terms on unstructured meshes. (English) Zbl 1351.76104 J. Comput. Phys. 287, 184-206 (2015). MSC: 76M12 65M08 PDFBibTeX XMLCite \textit{A. Duran} et al., J. Comput. Phys. 287, 184--206 (2015; Zbl 1351.76104) Full Text: DOI
Piao, Xiangfan; Bu, Sunyoung; Bak, Soyoon; Kim, Philsu An iteration free backward semi-Lagrangian scheme for solving incompressible Navier-Stokes equations. (English) Zbl 1351.76179 J. Comput. Phys. 283, 189-204 (2015). MSC: 76M20 65M06 76D05 PDFBibTeX XMLCite \textit{X. Piao} et al., J. Comput. Phys. 283, 189--204 (2015; Zbl 1351.76179) Full Text: DOI
Gerhard, Nils; Caviedes-Voullième, Daniel; Müller, Siegfried; Kesserwani, Georges Multiwavelet-based grid adaptation with discontinuous Galerkin schemes for shallow water equations. (English) Zbl 1349.76206 J. Comput. Phys. 301, 265-288 (2015). MSC: 76M10 65M60 65T60 76B15 PDFBibTeX XMLCite \textit{N. Gerhard} et al., J. Comput. Phys. 301, 265--288 (2015; Zbl 1349.76206) Full Text: DOI Link
Alonso Rodríguez, Ana; Bertolazzi, Enrico; Ghiloni, Riccardo; Valli, Alberto Finite element simulation of eddy current problems using magnetic scalar potentials. (English) Zbl 1349.78060 J. Comput. Phys. 294, 503-523 (2015). MSC: 78M10 65N30 78A25 PDFBibTeX XMLCite \textit{A. Alonso Rodríguez} et al., J. Comput. Phys. 294, 503--523 (2015; Zbl 1349.78060) Full Text: DOI Link
Navas-Montilla, A.; Murillo, J. Energy balanced numerical schemes with very high order. The augmented Roe flux ADER scheme. Application to the shallow water equations. (English) Zbl 1349.76372 J. Comput. Phys. 290, 188-218 (2015). MSC: 76M12 65M08 76D05 PDFBibTeX XMLCite \textit{A. Navas-Montilla} and \textit{J. Murillo}, J. Comput. Phys. 290, 188--218 (2015; Zbl 1349.76372) Full Text: DOI
Ricchiuto, Mario An explicit residual based approach for shallow water flows. (English) Zbl 1349.76035 J. Comput. Phys. 280, 306-344 (2015). MSC: 76B15 76M10 65M60 PDFBibTeX XMLCite \textit{M. Ricchiuto}, J. Comput. Phys. 280, 306--344 (2015; Zbl 1349.76035) Full Text: DOI HAL
Métivier, L.; Brossier, R.; Labbé, S.; Operto, S.; Virieux, J. A robust absorbing layer method for anisotropic seismic wave modeling. (English) Zbl 1351.86004 J. Comput. Phys. 279, 218-240 (2014). MSC: 86-08 65M99 86A15 74L05 74J20 PDFBibTeX XMLCite \textit{L. Métivier} et al., J. Comput. Phys. 279, 218--240 (2014; Zbl 1351.86004) Full Text: DOI
Mennemann, Jan-Frederik; Jüngel, Ansgar Perfectly matched layers versus discrete transparent boundary conditions in quantum device simulations. (English) Zbl 1349.81033 J. Comput. Phys. 275, 1-24 (2014). MSC: 81P15 81Q05 PDFBibTeX XMLCite \textit{J.-F. Mennemann} and \textit{A. Jüngel}, J. Comput. Phys. 275, 1--24 (2014; Zbl 1349.81033) Full Text: DOI arXiv
Audusse, Emmanuel; Benkhaldoun, Fayssal; Sari, Saida; Seaid, Mohammed; Tassi, Pablo A fast finite volume solver for multi-layered shallow water flows with mass exchange. (English) Zbl 1349.76169 J. Comput. Phys. 272, 23-45 (2014). MSC: 76M10 65M08 65M25 76D05 PDFBibTeX XMLCite \textit{E. Audusse} et al., J. Comput. Phys. 272, 23--45 (2014; Zbl 1349.76169) Full Text: DOI Link
Bermúdez, A.; Ferrín, J. L.; Saavedra, L.; Vázquez-Cendón, M. E. A projection hybrid finite volume/element method for low-Mach number flows. (English) Zbl 1349.76305 J. Comput. Phys. 271, 360-378 (2014). MSC: 76M12 76M10 76Nxx 65M08 65M60 PDFBibTeX XMLCite \textit{A. Bermúdez} et al., J. Comput. Phys. 271, 360--378 (2014; Zbl 1349.76305) Full Text: DOI
Kazolea, M.; Delis, A. I.; Synolakis, C. E. Numerical treatment of wave breaking on unstructured finite volume approximations for extended Boussinesq-type equations. (English) Zbl 1349.76346 J. Comput. Phys. 271, 281-305 (2014). MSC: 76M12 76B15 65M08 86A05 PDFBibTeX XMLCite \textit{M. Kazolea} et al., J. Comput. Phys. 271, 281--305 (2014; Zbl 1349.76346) Full Text: DOI
Bao, Lei; Nair, Ramachandran D.; Tufo, Henry M. A mass and momentum flux-form high-order discontinuous Galerkin shallow water model on the cubed-sphere. (English) Zbl 1349.76174 J. Comput. Phys. 271, 224-243 (2014). MSC: 76M10 65M60 76D05 86A05 PDFBibTeX XMLCite \textit{L. Bao} et al., J. Comput. Phys. 271, 224--243 (2014; Zbl 1349.76174) Full Text: DOI