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  • A New Upwind Finite Volume Element Method for Convection-Diffusion-Reaction Problems on Quadrilateral Meshes

    Ang Li, Hongtao Yang, Yulong Gao, Yonghai Li
    2024-01-31
    30212 2641 Pages:239-272
  • Genuinely Multidimensional Physical-Constraints-Preserving Finite Volume Schemes for the Special Relativistic Hydrodynamics

    Dan Ling, Huazhong Tang
    2023-11-08
    31138 2679 Pages:955-992
  • Unconditional Bound-Preserving and Energy-Dissipating Finite-Volume Schemes for the Cahn-Hilliard Equation

    Rafael Bailo, José A. Carrillo, Serafim Kalliadasis, Sergio P. Perez
    2023-10-07
    35319 2828 Pages:713-748
  • New Superconvergent Structures with Optional Superconvergent Points for the Finite Volume Element Method

    Xiang Wang, Yuqing Zhang, Zhimin Zhang
    2023-06-06
    38813 2908 Pages:1332-1356
  • Discrete Duality Finite Volume Discretization of the Thermal-$P_N$ Radiative Transfer Equations on General Meshes

    Francois Hermeline
    2022-01-27
    42851 3330 Pages:398-448
  • An Efficient Positivity-Preserving Finite Volume Scheme for the Nonequilibrium Three-Temperature Radiation Diffusion Equations on Polygonal Meshes

    Shuai Su, Huazhong Tang, Jiming Wu
    2021-05-25
    48749 3133 Pages:448-485
  • A Nonlinear Finite Volume Scheme Preserving Maximum Principle for Diffusion Equations

    Jinjing Xu, Fei Zhao, Zhiqiang Sheng, Guangwei Yuan
    2021-01-13
    45765 3336 Pages:747-766
  • A Higher Order Interpolation Scheme of Finite Volume Method for Compressible Flow on Curvilinear Grids

    Zhen-Hua Jiang, Xi Deng, Feng Xiao, Chao Yan, Jian Yu
    2020-08-27
    49232 3041 Pages:1609-1638
  • A New Interpolation for Auxiliary Unknowns of the Monotone Finite Volume Scheme for 3D Diffusion Equations

    Fei Zhao, Xiang Lai, Guangwei Yuan, Zhiqiang Sheng
    2020-02-23
    47487 3228 Pages:1201-1233
  • A High-Order Modified Finite Volume WENO Method on 3D Cartesian Grids

    Yulong Du, Li Yuan & Yahui Wang
    2019-04-28
    46342 3299 Pages:768-784
  • Second Order Finite Volume Scheme for Euler Equations with Gravity which is Well-Balanced for General Equations of State and Grid Systems

    Jonas P. Berberich, Praveen Chandrashekar, Christian Klingenberg & Friedrich K. Röpke
    2019-04-04
    49702 3374 Pages:599-630
  • An Adaptive Conservative Finite Volume Method for Poisson-Nernst-Planck Equations on a Moving Mesh

    Xiulei Cao & Huaxiong Huang
    2019-04-04
    46963 3445 Pages:389-412
  • Neutron Discrete Velocity Boltzmann Equation and Its Finite Volume Lattice Boltzmann Scheme

    Yahui Wang, Ming Xie & Yu Ma
    2019-01-10
    46549 3876 Pages:1446-1468
  • Incorporation of NURBS Boundary Representation with an Unstructured Finite Volume Approximation

    Yifan Xia, Gaofeng Wang, Yao Zheng, Tingwei Ji & Ching Y. Loh
    2018-09-17
    46252 3224 Pages:791-809
  • A Finite Volume Method for the Relativistic Burgers Equation on a FLRW Background Spacetime

    Tuba Ceylan, Philippe G. LeFloch & Baver Okutmustur
    2018-08-21
    46944 3236 Pages:500-519
  • A Fully Implicit Finite Volume Lattice Boltzmann Method for Turbulent Flows

    Fatih Cevik & Kahraman Albayrak
    2018-04-09
    42228 3371 Pages:393-421
  • A Nominally Second-Order Cell-Centered Finite Volume Scheme for Simulating Three-Dimensional Anisotropic Diffusion Equations on Unstructured Grids

    Pascal Jacq, Pierre-Henri Maire & Rémi Abgrall
    2014-10-08
    42418 4167 Pages:841-891
  • A New Family of High Order Unstructured MOOD and ADER Finite Volume Schemes for Multidimensional Systems of Hyperbolic Conservation Laws

    Raphaël Loubère, Michael Dumbser & Steven Diot
    2014-12-08
    39581 3854 Pages:718-763
  • Finite Volume Hermite WENO Schemes for Solving the Hamilton-Jacobi Equation

    Jun Zhu & Jianxian Qiu
    2020-07-31
    42217 4597 Pages:959-980
  • A Geometry-Preserving Finite Volume Method for Compressible Fluids on Schwarzschild Spacetime

    Philippe G. LeFloch & Hasan Makhlof
    2014-03-05
    41610 4023 Pages:827-852
  • Kinetic Energy Preserving and Entropy Stable Finite Volume Schemes for Compressible Euler and Navier-Stokes Equations

    Praveen Chandrashekar
    2013-11-05
    40292 4420 Pages:1252-1286
  • Arbitrary-Lagrangian-Eulerian One-Step WENO Finite Volume Schemes on Unstructured Triangular Meshes

    Walter Boscheri & Michael Dumbser
    2013-11-05
    40495 3961 Pages:1174-1206
  • Comparison of Fifth-Order WENO Scheme and Finite Volume WENO-Gas-Kinetic Scheme for Inviscid and Viscous Flow Simulation

    Jun Luo, Lijun Xuan & Kun Xu
    2013-09-05
    40614 4609 Pages:599-620
  • Lattice Boltzmann Finite Volume Formulation with Improved Stability

    A. Zarghami, M. J. Maghrebi, J. Ghasemi & S. Ubertini
    2012-12-01
    41274 4536 Pages:42-64
  • Numerical Entropy and Adaptivity for Finite Volume Schemes

    Gabriella Puppo & Matteo Semplice
    2011-10-01
    38735 4124 Pages:1132-1160
  • On the Order of Accuracy and Numerical Performance of Two Classes of Finite Volume WENO Schemes

    Rui Zhang, Mengping Zhang & Chi-Wang Shu
    2011-03-05
    39890 4279 Pages:807-827
  • A High Order Sharp-Interface Method with Local Time Stepping for Compressible Multiphase Flows

    Angela Ferrari, Claus-Dieter Munz & Bernhard Weigand
    2011-09-01
    39104 4397 Pages:205-230
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