Search Results

• 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

  39349 3834 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

  38942 3812 Pages:595-624

• Geometric Evolution Laws for Thin Crystalline Films: Modeling and Numerics

  Bo Li, John Lowengrub, Andreas Rätz & Axel Voigt

  2009-06-01

  41910 4693 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

  34650 3544 Pages:1-17

• The Geometry Behind Numerical Solvers of the Poisson-Boltzmann Equation

  Xinwei Shi & Patrice Koehl

  2008-03-01

  40269 4148 Pages:1032-1050

• A Finite Element Method Solver for Time-Dependent and Stationary Schrödinger Equations with a Generic Potential

  A. Soba

  2009-05-01

  40024 3974 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

  42424 4045 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

  40018 3934 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

  39366 3886 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

  47490 3185 Pages:1185-1215

• A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations

  Hendrik Ranocha, Dimitrios Mitsotakis, David I. Ketcheson

  2021-02-25

  48292 3371 Pages:979-1029

• Mechanics-Based Solution Verification for Porous Media Models

  M. Shabouei & K. B. Nakshatrala

  2020-07-30

  42081 3398 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

  44383 3124 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

  41638 3973 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

  41010 3389 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

  47213 3980 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

  46113 4165 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

  41063 4125 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

  39470 3920 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

  44634 3186 Pages:1095-1124

• Mass- and Energy-Conserved Numerical Schemes for Nonlinear Schrödinger Equations

  Xiaobing Feng, Hailiang Liu, Shu Ma

  2019-08-27

  48935 3491 Pages:1365-1396

• Enhancing Mesh-Based Photoacoustic Tomography with Parallel Computing on Multiprocessor Scheme

  Yao Sun, Zhen Yuan & Huaibei Jiang

  2018-09-17

  45609 3126 Pages:764-773

• Fast Simulation of Lipid Vesicle Deformation Using Spherical Harmonic Approximation

  Michael Mikucki & Yongcheng Zhou

  2018-04-08

  41701 4795 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

  40020 3170 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

  38581 4089 Pages:540-558

• A Constrained Level Set Method for Simulating the Formation of Liquid Bridges

  Dongdong He & Huaxiong Huang

  2020-07-31

  38624 3892 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

  40123 4837 Pages:1043-1080 Open-access