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  • Simulating an Elastic Ring with Bend and Twist by an Adaptive Generalized Immersed Boundary Method

    Boyce E. Griffith & Sookkyung Lim
    2020-07-31
    38619 3971 Pages:433-461
  • On the Volume Conservation of the Immersed Boundary Method

    Boyce E. Griffith
    2020-07-31
    39111 4290 Pages:401-432
  • Reduction of the Regularization Error of the Method of Regularized Stokeslets for a Rigid Object Immersed in a Three-Dimensional Stokes Flow

    Hoang-Ngan Nguyen & Ricardo Cortez
    2014-01-05
    40439 4361 Pages:126-152
  • Pseudostress-Based Mixed Finite Element Methods for the Stokes Problem in Rn with Dirichlet Boundary Conditions I: A Priori Error Analysis

    Gabriel N. Gatica, Antonio Márquez & Manuel A. Sánchez
    2012-12-01
    40965 4491 Pages:109-134
  • A Weighted Runge-Kutta Discontinuous Galerkin Method for 3D Acoustic and Elastic Wave-Field Modeling

    Xijun He, Dinghui Yang, Xiao Ma
    2020-06-05
    49467 4458 Pages:372-400
  • High Order Schemes on Three-Dimensional General Polyhedral Meshes — Application to the Level Set Method

    Thibault Pringuey & R. Stewart Cant
    2012-12-01
    41074 4642 Pages:1-41
  • A Pseudopotential Lattice Boltzmann Analysis for Multicomponent Flow

    Yong Zhao, Gerald G. Pereira, Shibo Kuang, Zhenhua Chai, Baochang Shi
    2022-10-28
    45622 3174 Pages:1156-1178
  • On the Monotonicity of $Q^2$ Spectral Element Method for Laplacian on Quasi-Uniform Rectangular Meshes

    Logan J. Cross, Xiangxiong Zhang
    2024-01-31
    28284 2560 Pages:160-180
  • Geometric Decomposition and Efficient Implementation of High Order Face and Edge Elements

    Chunyu Chen, Long Chen, Xuehai Huang, Huayi Wei
    2024-05-06
    27459 1928 Pages:1045-1072
  • An Adaptive Time-Stepping Strategy for the Cahn-Hilliard Equation

    Zhengru Zhang & Zhonghua Qiao
    2020-07-31
    41629 4270 Pages:1261-1278
  • Improvement on Spherical Symmetry in Two-Dimensional Cylindrical Coordinates for a Class of Control Volume Lagrangian Schemes

    Juan Cheng & Chi-Wang Shu
    2020-07-31
    39741 4044 Pages:1144-1168
  • High-Order Schemes Combining the Modified Equation Approach and Discontinuous Galerkin Approximations for the Wave Equation

    Cyril Agut, Julien Diaz & Abdelaâziz Ezziani
    2020-07-31
    38998 3954 Pages:691-708
  • Micro-Differential Boundary Conditions Modelling the Absorption of Acoustic Waves by 2D Arbitrarily-Shaped Convex Surfaces

    Hélène Barucq, Julien Diaz & Véronique Duprat
    2020-07-31
    39426 3682 Pages:674-690
  • 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
    30072 2538 Pages:239-272
  • 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
  • An Implementation of MAC Grid-Based IIM-Stokes Solver for Incompressible Two-Phase Flows

    Zhijun Tan, K. M. Lim & B. C. Khoo
    2011-10-01
    39535 4404 Pages:1333-1362
  • The Bulk-Surface Virtual Element Method for Reaction-Diffusion PDEs: Analysis and Applications

    Massimo Frittelli, Anotida Madzvamuse, Ivonne Sgura
    2023-04-28
    32547 3098 Pages:733-763 Open-access
  • Efficient Splitting Methods Based on Modified Potentials: Numerical Integration of Linear Parabolic Problems and Imaginary Time Propagation of the Schrödinger Equation

    Sergio Blanes, Fernando Casas, Cesáreo González, Mechthild Thalhammer
    2023-05-12
    35547 2999 Pages:937-961
  • Staggered Lagrangian Discretization Based on Cell-Centered Riemann Solver and Associated Hydrodynamics Scheme

    Pierre-Henri Maire, Raphaël Loubère & Pavel Váchal
    2011-10-01
    39622 4085 Pages:940-978
  • A Conservative Modification to the Ghost Fluid Method for Compressible Multiphase Flows

    Wei Liu, Li Yuan & Chi-Wang Shu
    2011-10-01
    40396 4012 Pages:785-806
  • On Universal Osher-Type Schemes for General Nonlinear Hyperbolic Conservation Laws

    Michael Dumbser & Eleuterio F. Toro
    2011-10-01
    39448 4299 Pages:635-671
  • Velocity-Based Moving Mesh Methods for Nonlinear Partial Differential Equations

    M. J. Baines, M. E. Hubbard & P. K. Jimack
    2011-10-01
    39903 4885 Pages:509-576 Open-access
  • A Priori Subcell Limiting Approach for the FR/CPR Method on Unstructured Meshes

    Guo-Quan Shi, Huajun Zhu, Zhen-Guo Yan
    2022-03-30
    50347 3028 Pages:1215-1241
  • A WENO-Based Stochastic Galerkin Scheme for Ideal MHD Equations with Random Inputs

    Kailiang Wu, Dongbin Xiu, Xinghui Zhong
    2021-05-25
    48872 3141 Pages:423-447
  • Microflow Simulations via the Lattice Boltzmann Method

    Nikolaos Prasianakis & Santosh Ansumali
    2020-07-21
    39198 3803 Pages:1128-1136
  • A Comparison of Semi-Lagrangian and Lagrange-Galerkin hp-FEM Methods in Convection-Diffusion Problems

    Pedro Galán del Sastre & Rodolfo Bermejo
    2011-09-01
    38516 3790 Pages:1020-1039
  • One-Dimensional Blood Flow with Discontinuous Properties and Transport: Mathematical Analysis and Numerical Schemes

    Alessandra Spilimbergo, Eleuterio F. Toro, Lucas O. Müller
    2021-01-13
    47441 3360 Pages:649-697
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