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  • Phase Field Model of Thermo-Induced Marangoni Effects in the Mixtures and Its Numerical Simulations with Mixed Finite Element Method

    Pengtao Sun, Chun Liu & Jinchao Xu
    2020-07-30
    39428 3868 Pages:1095-1117
  • A Moving-Mesh Finite Element Method and Its Application to the Numerical Solution of Phase-Change Problems

    M. J. Baines, M. E. Hubbard, P. K. Jimack & R. Mahmood
    2009-06-01
    39017 3852 Pages:595-624
  • Geometric Evolution Laws for Thin Crystalline Films: Modeling and Numerics

    Bo Li, John Lowengrub, Andreas Rätz & Axel Voigt
    2009-06-01
    42000 4765 Pages:433-482 Open-access
  • 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
    34830 3652 Pages:1-17
  • The Geometry Behind Numerical Solvers of the Poisson-Boltzmann Equation

    Xinwei Shi & Patrice Koehl
    2008-03-01
    40348 4171 Pages:1032-1050
  • A Finite Element Method Solver for Time-Dependent and Stationary Schrödinger Equations with a Generic Potential

    A. Soba
    2009-05-01
    40114 3996 Pages:914-927
  • A Numerical Study on the Weak Galerkin Method for the Helmholtz Equation

    Lin Mu, Junping Wang, Xiu Ye & Shan Zhao
    2014-05-05
    42495 4071 Pages:1461-1479
  • Mesh Sensitivity for Numerical Solutions of Phase-Field Equations Using r-Adaptive Finite Element Methods

    Heyu Wang & Ruo Li
    2018-03-24
    40104 3955 Pages:357-375
  • An r-Adaptive Finite Element Method for the Solution of the Two-Dimensional Phase-Field Equations

    G. Beckett, J. A. Mackenzie & M. L. Robertson
    2006-01-01
    39437 3922 Pages:805-826
  • Two Nonlinear Positivity-Preserving Finite Volume Schemes for Three-Dimensional Heat Conduction Equations on General Polyhedral Meshes

    Menghuan Liu, Shi Shu, Guangwei Yuan, Xiaoqiang Yue
    2021-08-10
    47597 3210 Pages:1185-1215
  • A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations

    Hendrik Ranocha, Dimitrios Mitsotakis, David I. Ketcheson
    2021-02-25
    48435 3403 Pages:979-1029
  • Mechanics-Based Solution Verification for Porous Media Models

    M. Shabouei & K. B. Nakshatrala
    2020-07-30
    42166 3415 Pages:1127-1162
  • Extrapolation Cascadic Multigrid Method for Cell-Centered FV Discretization of Diffusion Equations with Strongly Discontinuous and Anisotropic Coefficients

    Kejia Pan, Xiaoxin Wu, Yunlong Yu, Zhiqiang Sheng, Guangwei Yuan
    2022-05-06
    44481 3152 Pages:1561-1584
  • Efficient Variable-Coefficient Finite-Volume Stokes Solvers

    Mingchao Cai, Andy Nonaka, John B. Bell, Boyce E. Griffith & Aleksandar Donev
    2014-11-08
    41695 3998 Pages:1263-1297
  • Quantum Implementation of Numerical Methods for Convection-Diffusion Equations: Toward Computational Fluid Dynamics

    Bofeng Liu, Lixing Zhu, Zixuan Yang, Guowei He
    2023-03-13
    41178 3454 Pages:425-451
  • A Coupled FEM-BEM Approach for the Solution of the Free-Boundary Axi-Symmetric Plasma Equilibrium Problem

    M. Bonotto, D. Abate, P. Bettini, F. Villone
    2021-12-06
    47316 4035 Pages:27-59
  • Analysis and Application of Single Level, Multi-Level Monte Carlo and Quasi-Monte Carlo Finite Element Methods for Time-Dependent Maxwell's Equations with Random Inputs

    Xiang Wang, Jichun Li, Zhiwei Fang
    2020-11-26
    46212 4214 Pages:211-236
  • On Arbitrary-Lagrangian-Eulerian One-Step WENO Schemes for Stiff Hyperbolic Balance Laws

    Michael Dumbser, Ariunaa Uuriintsetseg & Olindo Zanotti
    2014-08-05
    41123 4144 Pages:301-327
  • Adaptive Conservative Cell Average Spectral Element Methods for Transient Wigner Equation in Quantum Transport

    Sihong Shao, Tiao Lu & Wei Cai
    2011-03-05
    39530 3945 Pages:711-739
  • A Computational Model for Simulation of Shallow Water Waves by Elastic Deformations in the Topography

    Alia Al-Ghosoun, Ashraf S. Osman, Mohammed Seaid
    2021-02-25
    44732 3204 Pages:1095-1124
  • Mass- and Energy-Conserved Numerical Schemes for Nonlinear Schrödinger Equations

    Xiaobing Feng, Hailiang Liu, Shu Ma
    2019-08-27
    49023 3534 Pages:1365-1396
  • Enhancing Mesh-Based Photoacoustic Tomography with Parallel Computing on Multiprocessor Scheme

    Yao Sun, Zhen Yuan & Huaibei Jiang
    2018-09-17
    45684 3145 Pages:764-773
  • Fast Simulation of Lipid Vesicle Deformation Using Spherical Harmonic Approximation

    Michael Mikucki & Yongcheng Zhou
    2018-04-08
    41771 4870 Pages:40-64
  • Hybrid and Multiplicative Overlapping Schwarz Algorithms with Standard Coarse Spaces for Mixed Linear Elasticity and Stokes Problems

    Mingchao Cai & Luca F. Pavarino
    2018-04-04
    40078 3207 Pages:989-1015
  • An Efficient Numerical Model for Immiscible Two-Phase Flow in Fractured Karst Reservoirs

    Zhao-Qin Huang, Jun Yao & Yue-Ying Wang
    2018-03-27
    38665 4106 Pages:540-558
  • A Constrained Level Set Method for Simulating the Formation of Liquid Bridges

    Dongdong He & Huaxiong Huang
    2020-07-31
    38679 3917 Pages:577-594
  • A Review of Residual Distribution Schemes for Hyperbolic and Parabolic Problems: The July 2010 State of the Art

    Remi Abgrall
    2020-07-31
    40178 4891 Pages:1043-1080 Open-access
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