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  • On Discontinuous Finite Volume Approximations for Semilinear Parabolic Optimal Control Problems

    Ruchi Sandilya, Sarvesh Kumar
    2016-07-03
    32526 2756 pp. 545-568
  • Piecewise Constant Level Set Method for Multiphase Motion

    Hongwei Li, Xue-Cheng Tai
    2007-04-01
    28850 2471 pp. 291-305
  • A Piecewise Constant Level Set Framework

    Johan Lie, Marius Lysaker, Xue-Cheng Tai
    2005-02-01
    29393 2616 pp. 422-438
  • Convergence of Discontinuous Finite Volume Discretizations for a Semilinear Hyperbolic Optimal Control Problem

    Ruchi Sandilya, Sarvesh Kumar
    2016-11-08
    32481 2872 pp. 926-950
  • Front Tracking Algorithm for the Lighthill-Whitham-Richards Traffic Flow Model with a Piecewise Quadratic, Continuous, Non-Smooth, and Non-Concave Fundamental Diagram

    W. Chen, S. C. Wong, C.-W. Shu, P. Zhang
    2009-06-01
    31123 2718 pp. 562-585
  • A Survey on Multiple Level Set Methods with Applications for Identifying Piecewise Constant Functions

    X.-C. Tai & T. F. Chan
    2018-08-15
    31135 4113 pp. 25-48
  • An Integral Equation Model for PET Imaging

    Xinhuang Tang, Charles Ross Schmidtlein, Si Li, Yuesheng Xu
    2021-11-05
    43385 2690 pp. 834-864
  • Flux Recovery and Superconvergence of Quadratic Immersed Interface Finite Elements

    So-Hsiang Chou, Champike Attanayake
    2016-01-08
    32658 4295 pp. 88-102
  • A Direct Method for Solving Three-Dimensional Elliptic Interface Problems

    Kumudu Gamage, Yan Peng, Zhilin Li
    2024-05-20
    DOI:10.4208/ijnam2024-1014
    21256 1641 pp. 353-374
  • A Binary Level Set Model for Elliptic Inverse Problems with Discontinuous Coefficients

    Lars Kristian Nielsen, Xue-Cheng Tai, Sigurd Ivar Aanonsen, Magne Espedal
    2007-04-01
    31512 3746 pp. 74-99
  • An Efficient RVE-EMC Approach for Multiscale Equations of Random Heterogeneous Materials

    Yanfu Chen, Xixin Wu, Zihao Yang, Jieqiong Zhang, Junfeng Zhao
    2026-03-11
    DOI:10.4208/ijnam2026-1015
    278 64 pp. 374–389
  • Macro Stokes Elements on Quadrilaterals

    Michael Neilan, Duygu Sap
    2018-08-15
    31921 2431 pp. 729-745
  • An $H^1$-Conforming Solenoidal Basis for Velocity Computation on Powell-Sabin Splits for the Stokes Problem

    Jeffrey M. Connors, Michael Gaiewski
    2024-04-07
    DOI:10.4208/ijnam2024-1007
    21494 1729 pp. 181-200
  • The Two-Level Local Projection Stabilization as an Enriched One-Level Approach. A One-Dimensional Study

    Lutz Tobiska, Christian Winkel
    2010-07-01
    33126 2542 pp. 520-534
  • Convergence of Rothe Scheme for Hemivariational Inequalities of Parabolic Type

    P. Kalita
    2013-10-01
    32434 2707 pp. 445-465
  • Pointwise Approximation of Corner Singularities for Singularly Perturbed Elliptic Problems with Characteristic Layers

    V. B. Andreev
    2010-07-01
    33036 2589 pp. 416-427
  • A Fully Discrete Calderόn Calculus for Two Dimensional Time Harmonic Waves

    V. Dominguez, S. Lu, F.-J. Sayas
    2021-10-20
    34001 2684 pp. 332-345
  • A Numerical Algorithm for Set-Point Regulation of Non-Linear Parabolic Control Systems

    Eugenio Aulisa, David Gilliam
    2021-10-20
    33106 3830 pp. 54-85
  • Nonconforming Mixed Finite Element Methods for Stationary Incompressible Magnetohydrodynamics

    Dongyang Shi, Zhiyun Yu
    2013-10-01
    32944 2616 pp. 904-919
  • The Immersed Finite Element Method for Parabolic Problems Using the Laplace Transformation in Time Discretization

    Tao Lin, Dongwoo Sheen
    2013-10-01
    32465 2649 pp. 298-313
  • Nonconforming Mixed Finite Element Method for the Stationary Conduction-Convection Problem

    Dongyang Shi, Jincheng Ren
    2009-06-01
    30929 2685 pp. 293-310
  • $L^∞$-Error Estimates for General Optimal Control Problem by Mixed Finite Element Methods

    X. Xing & Y. Chen
    2008-05-01
    30833 3381 pp. 441-456
  • An Augmented IIM & Preconditioning Technique for Jump Embedded Boundary Conditions

    Philippe Angot, Zhilin Li
    2018-09-18
    32507 2619 pp. 712-729
  • A Relaxation Approach to Discretization of Boundary Optimal Control Problems of Semilinear Parabolic Equations

    B. Kokkinis
    2019-08-09
    33152 2613 pp. 731-744
  • A Multigrid-Based Fourth Order Finite Difference Method for Elliptic Interface Problems with Variable Coefficients

    Yiming Ren, Shan Zhao
    2025-08-04
    DOI:10.4208/ijnam2025-1038
    6370 562 pp. 860-896
  • The Mixed Finite Volume Methods for Stokes Problem Based on MINI Element Pair

    Hongtao Yang, Yonghai Li
    2022-11-28
    DOI:10.4208/ijnam2023-1006
    291983 3213 pp. 134-151
  • Variational Formulation for Maxwell's Equations with Lorenz Gauge: Existence and Uniqueness of Solution

    Michal Kordy, Elena Cherkaev & Phil Wannamaker
    2015-12-01
    33972 2743 pp. 731-749
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