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  • Well-Balanced Central Scheme for the System of MHD Equations with Gravitational Source Term

    Farah Kanbar, Rony Touma, Christian Klingenberg
    2022-09-29
    40742 3109 Pages:878-898
  • A Decoupled Energy Stable Adaptive Finite Element Method for Cahn–Hilliard–Navier–Stokes Equations

    Yaoyao Chen, Yunqing Huang, Nianyu Yi
    2021-02-25
    47818 3389 Pages:1186-1212
  • A Weak Galerkin Finite Element Method for the Navier-Stokes Equations

    Jiachuan Zhang, Kai Zhang, Jingzhi Li & Xiaoshen Wang
    2018-08-21
    48537 3238 Pages:706-746
  • A Comparison of Fourier Spectral Iterative Perturbation Method and Finite Element Method in Solving Phase-Field Equilibrium Equations

    Pengcheng Song, Tiannan Yang, Yanzhou Ji, Zhuo Wang, Zhigang Yang, Longqing Chen & Lei Chen
    2018-04-09
    42216 3649 Pages:1325-1349
  • Cahn-Hilliard vs Singular Cahn-Hilliard Equations in Phase Field Modeling

    Tianyu Zhang & Qi Wang
    2018-03-24
    40175 4101 Pages:362-382
  • Preconditioning for a Phase-Field Model with Application to Morphology Evolution in Organic Semiconductors

    Kai Bergermann, Carsten Deibel, Roland Herzog, Roderick C. I. MacKenzie, Jan-Frederik Pietschmann, Martin Stoll
    2023-08-14
    34650 3544 Pages:1-17
  • A Diffuse-Interface Lattice Boltzmann Method for the Dendritic Growth with Thermosolutal Convection

    Chengjie Zhan, Zhenhua Chai, Baochang Shi, Ping Jiang, Shaoning Geng, Dongke Sun
    2023-05-12
    36252 2846 Pages:1164-1188
  • Deformation of a Sheared Magnetic Droplet in a Viscous Fluid

    Wellington C. Jesus, Alexandre M. Roma & Hector D. Ceniceros
    2018-09-17
    46373 3268 Pages:332-355
  • Numerical Approximations for Allen-Cahn Type Phase Field Model of Two-Phase Incompressible Fluids with Moving Contact Lines

    Lina Ma, Rui Chen, Xiaofeng Yang & Hui Zhang
    2018-04-09
    41096 3056 Pages:867-889
  • Divergence-Free WENO Reconstruction-Based Finite Volume Scheme for Solving Ideal MHD Equations on Triangular Meshes

    Zhiliang Xu, Dinshaw S. Balsara & Huijing Du
    2018-04-04
    41010 3142 Pages:841-880
  • A New Approximate Method to Mean Field Stochastic Differential Equation with One-Sided Lipschitz Drift Coefficient

    Jinhui Zhou, Yongkui Zou, Boyu Wang
    2025-11-28
    899 44 Pages:615-634
  • A Simple, Fast and Stabilized Flowing Finite Volume Method for Solving General Curve Evolution Equations

    Karol Mikula, Daniel Ševčovič, Martin Balažovjech
    2010-07-01
    41031 4246 Pages:195-211
  • An Understanding of the Physical Solutions and the Blow-up Phenomenon for Nonlinear Noisy Leaky Integrate and Fire Neuronal Models

    María J. Cáceres, Alejandro Ramos-Lora
    2021-07-01
    47973 3088 Pages:820-850
  • Construction of the Local Structure-Preserving Algorithms for the General Multi-Symplectic Hamiltonian System

    Jialing Wang, Yushun Wang, Dong Liang
    2020-07-30
    44627 3643 Pages:828-860
  • Second-Kind Boundary Integral Equations for Scattering at Composite Partly Impenetrable Objects

    Xavier Claeys, Ralf Hiptmair & Elke Spindler
    2018-07-03
    46691 5023 Pages:264-295
  • Acoustic Scattering Cross Sections of Smart Obstacles: A Case Study

    Lorella Fatone, Maria Cristina Recchioni & Francesco Zirilli
    2011-10-01
    38722 4032 Pages:672-694
  • Approximate Riemann Solvers and Robust High-Order Finite Volume Schemes for Multi-Dimensional Ideal MHD Equations

    Franz Georg Fuchs, Andrew D. McMurry, Siddhartha Mishra, Nils Henrik Risebro & Knut Waagan
    2018-03-27
    37891 3741 Pages:324-362
  • A Finite Element Method for Modelling Electromechanical Wave Propagation in Anisotropic Piezoelectric Media

    S. Rahman, H. P. Langtangen & C. H. W. Barnes
    2018-03-24
    39274 3724 Pages:271-292
  • Analytic Structure of the SCFT Energy Functional of Multicomponent Block Copolymers

    Kai Jiang, Weiquan Xu & Pingwen Zhang
    2018-04-02
    41217 3324 Pages:1360-1387
  • Energy Stable Gradient Flow Schemes for Shape and Topology Optimization in Navier-Stokes Flows

    Jiajie Li, Shengfeng Zhu
    2025-08-08
    4447 455 Pages:404-438
  • High Accuracy Benchmark Problems for Allen-Cahn and Cahn-Hilliard Dynamics

    Jon Matteo Church, Zhenlin Guo, Peter K. Jimack, Anotida Madzvamuse, Keith Promislow, Brian Wetton, Steven M. Wise, Fengwei Yang
    2019-07-02
    62596 3419 Pages:947-972
  • Construction and Analysis of an Adapted Spectral Finite Element Method to Convective Acoustic Equations

    Andreas Hüppe, Gary Cohen, Sébastien Imperiale, Manfred Kaltenbacher
    2018-04-04
    42836 5071 Pages:1-22
  • Inexact Block LU Preconditioners for Incompressible Fluids with Flow Rate Conditions

    Luca Crugnola, Christian Vergara
    2025-11-28
    933 43 Pages:323-355
  • High-Order Spectral Simulation of Dispersive Two-Dimensional Materials

    David P. Nicholls, Tianyu Zhu
    2025-09-05
    3493 311 Pages:923-952
  • Relaxation Schemes for the $M_1$ Model with Space-Dependent Flux: Application to Radiotherapy Dose Calculation

    Teddy Pichard, Denise Aregba-Driollet, Stéphane Brull, Bruno Dubroca, Martin Frank
    2018-04-03
    40013 4297 Pages:168-191
  • Numerical Simulation of Compressible Vortical Flows Using a Conservative Unstructured-Grid Adaptive Scheme

    Giuseppe Forestieri, Alberto Guardone, Dario Isola, Filippo Marulli & Giuseppe Quaranta
    2012-12-01
    40417 4100 Pages:866-884
  • An Accurate and Scalable Direction-Splitting Solver for Flows Laden with Non-Spherical Rigid Bodies – Part 1: Fixed Rigid Bodies

    Aashish Goyal, Anthony Wachs
    2023-11-08
    31555 2569 Pages:1079-1132
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