The Runge-Kutta local projection $P^1$-discontinuous-Galerkin finite element method for scalar conservation laws
ESAIM: M2AN, 25 3 (1991) 337-361
Published online: 2017-01-31
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
A score-based diffusion model approach for adaptive learning of stochastic partial differential equation solutions
Phuoc Toan Huynh, Ruth Y. López Fajardo, Guannan Zhang, Lili Ju and Feng BaoJournal of Computational Physics 556 114814 (2026)
https://doi.org/10.1016/j.jcp.2026.114814
Two-stage two-derivative fourth order bound-preserving schemes for hyperbolic conservation laws: Bound-preserving cell averages with unmodulated DG/DDG methods
Tianjiao Li, Juan Cheng and Chi-Wang ShuJournal of Computational Physics 560 114932 (2026)
https://doi.org/10.1016/j.jcp.2026.114932
A stabilized weighted interior penalty method for thermal convection model in heterogeneous porous media
Yuanyuan Hou, Qianqian Ding, Xiaoming He and Yanping LinMathematics and Computers in Simulation 246 137 (2026)
https://doi.org/10.1016/j.matcom.2026.01.016
A generalised Riemann problem-based compact reconstruction method for finite volume schemes
Gino I. Montecinos, Eleuterio F. Toro and Lucas O. MüllerComputers & Fluids 316 107157 (2026)
https://doi.org/10.1016/j.compfluid.2026.107157
High-order curvilinear discontinuous Galerkin method using the Spring Analogy for the compressible Euler and NS equations
Yi Zhong, Pengcheng Du and Fangfei NingComputers & Fluids 318 107215 (2026)
https://doi.org/10.1016/j.compfluid.2026.107215
Uniformly high order discontinuous Galerkin gas kinetic scheme for compressible flows
Mengqing Zhang, Shiyi Li, Dongmi Luo, Jianxian Qiu and Yibing ChenJournal of Computational Physics 546 114509 (2026)
https://doi.org/10.1016/j.jcp.2025.114509
High-order multi-resolution weighted essentially non-oscillatory limiters for Navier-Stokes equations on mixed-element meshes
Yizhou Lu, Zhenming Wang, Jun Zhu, Linlin Tian and Ning ZhaoCommunications in Nonlinear Science and Numerical Simulation 158 109832 (2026)
https://doi.org/10.1016/j.cnsns.2026.109832
ALE-Ritz projection in the analysis of moving mesh continuous/discontinuous Galerkin methods for convection-diffusion problems
Xin Li and Yinhua XiaJournal of Computational and Applied Mathematics 486 117678 (2026)
https://doi.org/10.1016/j.cam.2026.117678
A Conservative Runge–Kutta Discontinuous Galerkin ConRKDG Method for Inviscid Compressible Flows in One-Dimensional Computational Fluid Dynamics Simulations
Thien Binh Nguyen and Nguyen Minh Hieu PhamMathematics 14 (10) 1590 (2026)
https://doi.org/10.3390/math14101590
(2026)
https://doi.org/10.2139/ssrn.6174706
Improving the Local Solution of the DG Predictor of the ADER-DG Method for Solving Systems of Ordinary Differential Equations and Its Applicability to Systems of Differential-Algebraic Equations
Ivan S. PopovJournal of Scientific Computing 108 (1) (2026)
https://doi.org/10.1007/s10915-026-03332-6
Asymptotic-Preserving and Positivity-Preserving Discontinuous Galerkin Method for the Semiconductor Boltzmann Equation in the Diffusive Scaling
Huan Ding, Liu Liu and Xinghui ZhongMultiscale Modeling & Simulation 24 (2) 501 (2026)
https://doi.org/10.1137/25M1754145
Compact Runge-Kutta flux reconstruction methods for non-conservative hyperbolic equations
Arpit Babbar and Hendrik RanochaJournal of Computational Physics 563 115060 (2026)
https://doi.org/10.1016/j.jcp.2026.115060
Recent Advances in Numerical Solutions for Hamilton-Jacobi PDEs
Tingwei Meng, Siting Liu, Samy Wu Fung and Stanley OsherCommunications on Applied Mathematics and Computation (2026)
https://doi.org/10.1007/s42967-026-00570-1
A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation
Ziyao Xu, Guanyang Liu and Yong-Tao ZhangJournal of Scientific Computing 106 (3) (2026)
https://doi.org/10.1007/s10915-026-03197-9
Structure-Preserving Nodal DG Method for Euler Equations with Gravity II: General Equilibrium States
Yuchang Liu, Wei Guo, Yan Jiang and Mengping ZhangJournal of Scientific Computing 108 (1) (2026)
https://doi.org/10.1007/s10915-026-03325-5
A novel constrained optimization-based total variation bounded/diminishing minmod limiter for solving hyperbolic conservation laws
Zhengrong XiePhysics of Fluids 37 (9) (2025)
https://doi.org/10.1063/5.0291990
Discontinuous Galerkin method for incompressible viscous flow based on the entropically damped artificial compressibility
Le-Wen Chen, Yun-Long Liu, Zhao-Li Tian, Qi-Hang Hao and Qi KongComputers & Fluids 299 106684 (2025)
https://doi.org/10.1016/j.compfluid.2025.106684
The Runge–Kutta discontinuous Galerkin method with stage-dependent polynomial spaces for hyperbolic conservation laws
Qifan Chen, Zheng Sun and Yulong XingJournal of Computational Physics 523 113654 (2025)
https://doi.org/10.1016/j.jcp.2024.113654
Inverse Lax-Wendroff Boundary Treatment of Discontinuous Galerkin Method for 1D Conservation Laws
Lei Yang, Shun Li, Yan Jiang, Chi-Wang Shu and Mengping ZhangCommunications on Applied Mathematics and Computation 7 (2) 796 (2025)
https://doi.org/10.1007/s42967-024-00391-0
Application of High‐Order Direct Flux Reconstruction and Stiffness‐Resilient Time Integration to Simulations of Idealized Atmospheric Flows
Stéphane Gaudreault, Christopher Subich, Shoyon Panday, Martin Charron, Vincent Magnoux, Valentin Dallerit and Mayya TokmanInternational Journal for Numerical Methods in Fluids (2025)
https://doi.org/10.1002/fld.70046
Bound preserving Lax-Wendroff flux reconstruction method for special relativistic hydrodynamics
Sujoy Basak, Arpit Babbar, Harish Kumar and Praveen ChandrashekarJournal of Computational Physics 527 113815 (2025)
https://doi.org/10.1016/j.jcp.2025.113815
On the convergence of the discontinuous Galerkin scheme for Einstein-scalar equations
Yuewen Chen, Chi-Wang Shu and Shing-Tung YauMathematics of Computation 95 (358) 557 (2025)
https://doi.org/10.1090/mcom/4077
Constraints Preserving Lax-Wendroff Flux Reconstruction for Relativistic Hydrodynamics with General Equations of State
Sujoy Basak, Arpit Babbar, Harish Kumar and Praveen ChandrashekarJournal of Scientific Computing 105 (3) (2025)
https://doi.org/10.1007/s10915-025-03092-9
Neutron star evolution by combining discontinuous Galerkin and finite volume methods
Ananya Adhikari, Wolfgang Tichy, Liwei Ji and Amit PoudelPhysical Review D 112 (6) (2025)
https://doi.org/10.1103/pxbc-lcjx
Affine-Invariant WENO Operator on Nonuniform Cartesian Mesh with Application to Finite Volume and Discontinuous Galerkin Methods
Xiao-Shuo Xiang, Bao-Shan Wang, Zhen Gao and Peng LiJournal of Scientific Computing 102 (2) (2025)
https://doi.org/10.1007/s10915-024-02751-7
Stabilized P2-DG method with artificial viscosity for steady hyperbolic conservation laws
Kui Cao, Weixiong Yuan, Bin Zhang, Yiwei Feng and Tiegang LiuJournal of Computational Physics 524 113713 (2025)
https://doi.org/10.1016/j.jcp.2024.113713
Arbitrarily high-order globally divergence-free DG method for compressible ideal MHD equations on unstructured meshes
Yuchang Liu, Yan Jiang and Mengping ZhangJournal of Scientific Computing 105 (3) (2025)
https://doi.org/10.1007/s10915-025-03117-3
High Order ADER-DG Method with Local DG Predictor for Solutions of Differential-Algebraic Systems of Equations
Ivan S. PopovJournal of Scientific Computing 102 (2) (2025)
https://doi.org/10.1007/s10915-024-02769-x
High Order Conservative OEDG Methods with Explicit-Implicit-Null Time Discretizations for Three-Temperature Radiation Hydrodynamics
Xinyuan Liu and Tao XiongJournal of Scientific Computing 102 (2) (2025)
https://doi.org/10.1007/s10915-024-02757-1
Compact Runge-Kutta Flux Reconstruction Method for Hyperbolic Conservation Laws with Admissibility Preservation
Arpit Babbar and Qifan ChenJournal of Scientific Computing 105 (3) (2025)
https://doi.org/10.1007/s10915-025-03118-2
Runge–Kutta discontinuous Galerkin method based on flux vector splitting for hyperbolic conservation laws
Zhengrong XieFinite Elements in Analysis and Design 250 104398 (2025)
https://doi.org/10.1016/j.finel.2025.104398
Wetting and Drying Treatments With Mesh Adaptation for Shallow Water Equations Using a Runge–Kutta Discontinuous Galerkin Method
Camille Poussel, Mehmet Ersoy and Frédéric GolayInternational Journal for Numerical Methods in Fluids 97 (5) 692 (2025)
https://doi.org/10.1002/fld.5365
142 (2025)
https://doi.org/10.1109/CCAT68690.2025.00030
Increasingly High-order ALW-WENO Limiters for the RKDG Methods to Solve Hyperbolic Conservation Laws on Structured Grids
Zhihui Li and Jun ZhuJournal of Scientific Computing 105 (2) (2025)
https://doi.org/10.1007/s10915-025-03072-z
A high order Lagrangian type discontinuous Galerkin scheme for the compressible Euler equations on straight-edge meshes
Wenjing Feng, Juan Cheng and Chi-Wang ShuJournal of Scientific Computing 105 (3) (2025)
https://doi.org/10.1007/s10915-025-03107-5
A bound-preserving Runge–Kutta discontinuous Galerkin method with compact stencils for hyperbolic conservation laws
Chen Liu, Zheng Sun and Xiangxiong ZhangJournal of Computational Physics 537 114071 (2025)
https://doi.org/10.1016/j.jcp.2025.114071
Unified analysis of the semidiscrete discontinuous Galerkin methods for 2-D hyperbolic equations on Cartesian meshes using ℙ^{𝕜} elements: optimal error estimates and superconvergence
Waixiang Cao, Chi-Wang Shu and Zhimin ZhangMathematics of Computation 95 (359) 1225 (2025)
https://doi.org/10.1090/mcom/4083
A two-stage two-derivative fourth order positivity-preserving discontinuous Galerkin method for hyperbolic conservation laws
Tianjiao Li, Juan Cheng and Chi-Wang ShuJournal of Computational Physics 530 113912 (2025)
https://doi.org/10.1016/j.jcp.2025.113912
A new high-order RKDG method based on the TENO-THINC scheme for shock-capturing
Haohan Huang, Xinliang Li and Lin FuJournal of Computational Physics 520 113459 (2025)
https://doi.org/10.1016/j.jcp.2024.113459
Spectral Volume from a Discontinuous Galerkin Perspective: Oscillation Elimination, Stability, and Optimal Error Estimates
Zhuoyun Li and Kailiang WuSIAM Journal on Scientific Computing 47 (2) A1304 (2025)
https://doi.org/10.1137/24M167799X
Investigation of far-field underwater explosion shock wave-induced cavitation based on Runge–Kutta discontinuous Galerkin method
Yun-Long Liu, Qi-Hang Hao, Qiang Zhong, Le-Wen Chen, Qi Kong and A-Man ZhangPhysics of Fluids 37 (2) (2025)
https://doi.org/10.1063/5.0254959
Reconstruction-based high-order conservative central difference schemes for the compressible Navier–Stokes equations
Weixiong Yuan, Tiegang Liu, Kui Cao, Zhiqiang Zeng and Kun WangComputers & Fluids 299 106682 (2025)
https://doi.org/10.1016/j.compfluid.2025.106682
Global Spectral Analysis of Two Fully Discrete Discontinuous Galerkin Methods on Unfitted Meshes
Hu Yu, Ziqiang Cheng and Yan JiangJournal of Scientific Computing 105 (2) (2025)
https://doi.org/10.1007/s10915-025-03079-6
A Note on Stability Analysis of Two-Dimensional Runge-Kutta Discontinuous Galerkin Methods
Yuan Xu and Qiang ZhangCommunications on Applied Mathematics and Computation 7 (2) 637 (2025)
https://doi.org/10.1007/s42967-024-00370-5
High-order implicit maximum-principle-preserving local discontinuous Galerkin methods for convection–diffusion equations
Kaichang Yu, Juan Cheng, Yuanyuan Liu and Chi-Wang ShuJournal of Computational and Applied Mathematics 470 116660 (2025)
https://doi.org/10.1016/j.cam.2025.116660
Robust DG schemes on unstructured triangular meshes: Oscillation elimination and bound preservation via optimal convex decomposition
Shengrong Ding, Shumo Cui and Kailiang WuJournal of Computational Physics 526 113769 (2025)
https://doi.org/10.1016/j.jcp.2025.113769
A globally divergence-free entropy stable nodal DG method for conservative ideal MHD equations
Yuchang Liu, Wei Guo, Yan Jiang and Mengping ZhangJournal of Computational Physics 543 114382 (2025)
https://doi.org/10.1016/j.jcp.2025.114382
(2025)
https://doi.org/10.2139/ssrn.5393540
Undercompressive Discontinuities of a Hyperbolic System of Conservation Law Equations: Finite-Difference Schemes
R. R. Polekhina and A. P. ChugainovaComputational Mathematics and Mathematical Physics 65 (5) 1026 (2025)
https://doi.org/10.1134/S096554252570037X
Noniterative localized exponential time differencing methods for hyperbolic conservation laws
Cao-Kha Doan, Phuoc-Toan Huynh and Thi-Thao-Phuong HoangAdvances in Computational Mathematics 51 (3) (2025)
https://doi.org/10.1007/s10444-025-10240-0
599 (2025)
https://doi.org/10.1007/978-3-031-92598-6_16
A TVD-MRWENO limiter applied in the discontinuous Galerkin method for hyperbolic conservation laws
Yi Zhong, Pengcheng Du and Fangfei NingComputers & Fluids 301 106809 (2025)
https://doi.org/10.1016/j.compfluid.2025.106809
Optimal Error Estimate of a Discontinuous Galerkin Method for One-Dimensional Linear Hyperbolic Equation with Degenerate Points Moving Along Space-Time Curves
Yuan Xu, Xiong Meng, Chi-Wang Shu and Qiang ZhangJournal of Scientific Computing 103 (3) (2025)
https://doi.org/10.1007/s10915-025-02917-x
Structure-preserving nodal DG method for the Euler equations with gravity: well-balanced, entropy stable, and positivity preserving
Yuchang Liu, Wei Guo, Yan Jiang and Mengping ZhangJournal of Computational Physics 537 114095 (2025)
https://doi.org/10.1016/j.jcp.2025.114095
Second order conservative Lagrangian DG schemes for compressible flow and their application in preserving spherical symmetry in two-dimensional cylindrical geometry
Wenjing Feng, Juan Cheng and Chi-Wang ShuJournal of Computational Physics 521 113530 (2025)
https://doi.org/10.1016/j.jcp.2024.113530
A one‐dimensional computational model for blood flow in an elastic blood vessel with a rigid catheter
Aseem Milind Pradhan, Fernando Mut and Juan Raul CebralInternational Journal for Numerical Methods in Biomedical Engineering 40 (7) (2024)
https://doi.org/10.1002/cnm.3834
DIFFERENCE SCHEME WITH WELL CONTROLLED DISSIPATION FOR SOLUTION OF KAPILA MODEL
R. R. Polekhina and E. B. SavenkovДифференциальные уравнения 60 (7) (2024)
https://doi.org/10.31857/S0374064124070072
Bound-Preserving Discontinuous Galerkin Methods with Modified Patankar Time Integrations for Chemical Reacting Flows
Fangyao Zhu, Juntao Huang and Yang YangCommunications on Applied Mathematics and Computation 6 (1) 190 (2024)
https://doi.org/10.1007/s42967-022-00231-z
The Runge–Kutta Discontinuous Galerkin Method with Compact Stencils for Hyperbolic Conservation Laws
Qifan Chen, Zheng Sun and Yulong XingSIAM Journal on Scientific Computing 46 (2) A1327 (2024)
https://doi.org/10.1137/23M158629X
Local Discontinuous Galerkin Methods with Multistep Implicit–Explicit Time Discretization for Nonlinear Schrödinger Equations
Ying Li, Hui Shi and Xinghui ZhongJournal of Scientific Computing 101 (1) (2024)
https://doi.org/10.1007/s10915-024-02647-6
A Péclet-robust Discontinuous Galerkin method for nonlinear diffusion with advection
Lourenço Beirão da Veiga, Daniele A. Di Pietro and Kirubell B. HaileMathematical Models and Methods in Applied Sciences 34 (09) 1781 (2024)
https://doi.org/10.1142/S0218202524500350
OEDG: Oscillation-eliminating discontinuous Galerkin method for hyperbolic conservation laws
Manting Peng, Zheng Sun and Kailiang WuMathematics of Computation (2024)
https://doi.org/10.1090/mcom/3998
Численное исследование разрывного метода Галеркина для решения уравнений Баера-Нунциато с мгновенной механической релаксацией
Ruzana Ramilevna Polekhina and Evgenii Borisovich SavenkovМатематическое моделирование 36 (4) 53 (2024)
https://doi.org/10.20948/mm-2024-04-04
225 (2024)
https://doi.org/10.1007/978-3-031-61395-1_11
Very high order treatment of embedded curved boundaries in compressible flows: ADER discontinuous Galerkin with a space-time Reconstruction for Off-site data
Mirco Ciallella, Stephane Clain, Elena Gaburro and Mario RicchiutoComputers & Mathematics with Applications 175 1 (2024)
https://doi.org/10.1016/j.camwa.2024.08.028
RKDG Methods with Multi-resolution WENO Limiters for Solving Steady-State Problems on Triangular Meshes
Jun Zhu, Chi-Wang Shu and Jianxian QiuCommunications on Applied Mathematics and Computation 6 (3) 1575 (2024)
https://doi.org/10.1007/s42967-023-00272-y
A deep learning operator-based numerical scheme method for solving 1D wave equations
Yunfan Chang, Dinghui Yang and Xijun HeJournal of Geophysics and Engineering 21 (4) 1194 (2024)
https://doi.org/10.1093/jge/gxae062
Numerical Study of the Discontinuous Galerkin Method for Solving the Baer–Nunziato Equations with Instantaneous Mechanical Relaxation
R. R. Polekhina and E. B. SavenkovMathematical Models and Computer Simulations 16 (6) 826 (2024)
https://doi.org/10.1134/S2070048224700583
A highly accurate discontinuous Galerkin method for solving nonlinear Bratu's problem
H. Temimi and M. Ben-RomdhaneAlexandria Engineering Journal 95 50 (2024)
https://doi.org/10.1016/j.aej.2024.03.072
Reducing polynomial degree by one for inner-stage operators affects neither stability type nor accuracy order of the Runge–Kutta discontinuous Galerkin method
Zheng SunMathematics of Computation 94 (356) 2795 (2024)
https://doi.org/10.1090/mcom/4037
A Difference Scheme with Well-Controlled Dissipation for Solving the Kapila Model Equations
R. R. Polekhina and E. B. SavenkovDifferential Equations 60 (7) 925 (2024)
https://doi.org/10.1134/S0012266124070085
Admissibility Preserving Subcell Limiter for Lax–Wendroff Flux Reconstruction
Arpit Babbar, Sudarshan Kumar Kenettinkara and Praveen ChandrashekarJournal of Scientific Computing 99 (2) (2024)
https://doi.org/10.1007/s10915-024-02482-9
(2024)
https://doi.org/10.2139/ssrn.4784494
Numerical analysis of a class of penalty discontinuous Galerkin methods for nonlocal diffusion problems
Qiang Du, Lili Ju, Jianfang Lu and Xiaochuan TianESAIM: Mathematical Modelling and Numerical Analysis 58 (5) 2035 (2024)
https://doi.org/10.1051/m2an/2024064
A High-Order Well-Balanced Discontinuous Galerkin Method for Hyperbolic Balance Laws Based on the Gauss-Lobatto Quadrature Rules
Ziyao Xu and Chi-Wang ShuJournal of Scientific Computing 101 (2) (2024)
https://doi.org/10.1007/s10915-024-02661-8
A new troubled cell indicator and a new limiter based on TENO schemes for RKDG methods
Haohan Huang and Lin FuComputer Methods in Applied Mechanics and Engineering 421 116795 (2024)
https://doi.org/10.1016/j.cma.2024.116795
Numerical solutions of boundary problems in partial differential equations: A deep learning framework with Green's function
Yuanjun Dai, Zhi Li, Yiran An and Wanru DengJournal of Computational Physics 511 113121 (2024)
https://doi.org/10.1016/j.jcp.2024.113121
(2024)
https://doi.org/10.5772/intechopen.1007351
Continuum dynamic traffic models with novel local route-choice strategies for urban cities
Chengyuan Wu, Liangze Yang, Jie Du, Xin Pei and S.C. WongTransportation Research Part B: Methodological 181 102888 (2024)
https://doi.org/10.1016/j.trb.2024.102888
Steady-state simulation of Euler equations by the discontinuous Galerkin method with the hybrid limiter
Lei Wei and Yinhua XiaJournal of Computational Physics 515 113288 (2024)
https://doi.org/10.1016/j.jcp.2024.113288
On a posteriori error estimation for Runge–Kutta discontinuous Galerkin methods for linear hyperbolic problems
Emmanuil H. Georgoulis, Edward J. C. Hall and Charalambos G. MakridakisStudies in Applied Mathematics 153 (4) (2024)
https://doi.org/10.1111/sapm.12772
An indicator-based hybrid limiter in discontinuous Galerkin methods for hyperbolic conservation laws
Lei Wei and Yinhua XiaJournal of Computational Physics 498 112676 (2024)
https://doi.org/10.1016/j.jcp.2023.112676
A well-balanced discontinuous Galerkin method for the first–order Z4 formulation of the Einstein–Euler system
Michael Dumbser, Olindo Zanotti, Elena Gaburro and Ilya PeshkovJournal of Computational Physics 504 112875 (2024)
https://doi.org/10.1016/j.jcp.2024.112875
High-order adaptive multiresolution wavelet upwind schemes for hyperbolic conservation laws
Bing Yang, Jizeng Wang, Xiaojing Liu and Youhe ZhouComputers & Fluids 269 106111 (2024)
https://doi.org/10.1016/j.compfluid.2023.106111
Discontinuous Galerkin Methods for a First-Order Semi-Linear Hyperbolic Continuum Model of a Topological Resonator Dimer Array
Qiang Du, Huaiyu Li, Michael Weinstein and Lu ZhangJournal of Scientific Computing 101 (3) (2024)
https://doi.org/10.1007/s10915-024-02675-2
Arbitrary High Order ADER-DG Method with Local DG Predictor for Solutions of Initial Value Problems for Systems of First-Order Ordinary Differential Equations
Ivan S. PopovJournal of Scientific Computing 100 (1) (2024)
https://doi.org/10.1007/s10915-024-02578-2
Boundary Treatment for High-Order IMEX Runge–Kutta Local Discontinuous Galerkin Schemes for Multidimensional Nonlinear Parabolic PDEs
Víctor González-Tabernero, José Germán López-Salas, Manuel Jesús Castro-Díaz and José Antonio García-RodríguezSIAM Journal on Scientific Computing 46 (5) A3282 (2024)
https://doi.org/10.1137/23M1612184
Stability Analysis and Error Estimate of the Explicit Single-Step Time-Marching Discontinuous Galerkin Methods with Stage-Dependent Numerical Flux Parameters for a Linear Hyperbolic Equation in One Dimension
Yuan Xu, Chi-Wang Shu and Qiang ZhangJournal of Scientific Computing 100 (3) (2024)
https://doi.org/10.1007/s10915-024-02621-2
Analysis of a class of spectral volume methods for linear scalar hyperbolic conservation laws
Jianfang Lu, Yan Jiang, Chi‐Wang Shu and Mengping ZhangNumerical Methods for Partial Differential Equations 40 (6) (2024)
https://doi.org/10.1002/num.23126
Stabilized isogeometric collocation methods for hyperbolic conservation laws
Ryan M. Aronson and John A. EvansEngineering with Computers 40 (6) 3451 (2024)
https://doi.org/10.1007/s00366-023-01918-4
A robust fifth order finite difference Hermite WENO scheme for compressible Euler equations
Chuan Fan, Zhuang Zhao, Tao Xiong and Jianxian QiuComputer Methods in Applied Mechanics and Engineering 412 116077 (2023)
https://doi.org/10.1016/j.cma.2023.116077
Stabilized cut discontinuous Galerkin methods for advection–reaction problems on surfaces
Tale Bakken Ulfsby, André Massing and Simon StickoComputer Methods in Applied Mechanics and Engineering 413 116109 (2023)
https://doi.org/10.1016/j.cma.2023.116109
Superconvergence of an Ultra-Weak Discontinuous Galerkin Method for Nonlinear Second-Order Initial-Value Problems
Mahboub BaccouchInternational Journal of Computational Methods 20 (02) (2023)
https://doi.org/10.1142/S0219876222500426
Hybridizable discontinuous Galerkin methods for second-order elliptic problems: overview, a new result and open problems
Bernardo CockburnJapan Journal of Industrial and Applied Mathematics 40 (3) 1637 (2023)
https://doi.org/10.1007/s13160-023-00603-9
Locally structure-preserving div-curl operators for high order discontinuous Galerkin schemes
Walter Boscheri, Giacomo Dimarco and Lorenzo PareschiJournal of Computational Physics 486 112130 (2023)
https://doi.org/10.1016/j.jcp.2023.112130
Comprehensive Structural Integrity
Vincenzo Gulizzi, Ivano Benedetti and Alberto MilazzoComprehensive Structural Integrity 348 (2023)
https://doi.org/10.1016/B978-0-12-822944-6.00024-4
(2023)
https://doi.org/10.2139/ssrn.4668124
An Oscillation-Free Bound-Preserving Discontinuous Galerkin Method for Multi-component Chemically Reacting Flows
Jie Du, Yong Liu and Yang YangJournal of Scientific Computing 95 (3) (2023)
https://doi.org/10.1007/s10915-023-02217-2
An oscillation free local discontinuous Galerkin method for nonlinear degenerate parabolic equations
Qi Tao, Yong Liu, Yan Jiang and Jianfang LuNumerical Methods for Partial Differential Equations 39 (4) 3145 (2023)
https://doi.org/10.1002/num.23003