THE EXTRAPOLATION METHOD FOR A CLASS OF NON-SMOOTH FREDHOLM INTEGRAL EQUATIONS

被引:0
|
作者
SHI Jun (Institute of Systems Science
机构
关键词
Finite element; superconvergence; extrapolation method; local refinement mesh; error asymptotic expansion;
D O I
暂无
中图分类号
学科分类号
摘要
For a class of non-smooth Fredholm integral equations we prove thatRichardson extrapolation method can be used to increase accuracy for finite ele-ment methods.On the basis of local refinement mesh,a superconvergence result isshown.Our theory also covers a class of non-smooth Wiener-Hopf equations andan application includes the calculation in certain linear elastic fracture problems.
引用
收藏
页码:33 / 41
页数:9
相关论文
共 50 条
  • [31] On regular but non-smooth integral curves
    Hilario, Cesar
    Stohr, Karl-Otto
    JOURNAL OF ALGEBRA, 2025, 661 : 278 - 300
  • [32] Integral Operators with Non-smooth Involution
    Khalova, V. A.
    Khromov, A. P.
    IZVESTIYA SARATOVSKOGO UNIVERSITETA NOVAYA SERIYA-MATEMATIKA MEKHANIKA INFORMATIKA, 2013, 13 (01): : 40 - 45
  • [33] An efficient spectral method for solving third-kind Volterra integral equations with non-smooth solutions
    Talaei, Y.
    Lima, P. M.
    COMPUTATIONAL & APPLIED MATHEMATICS, 2023, 42 (04):
  • [34] A polynomial collocation method for the numerical solution of weakly singular and singular integral equations on non-smooth boundaries
    Monegato, G
    Scuderi, L
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2003, 58 (13) : 1985 - 2011
  • [35] An efficient spectral method for solving third-kind Volterra integral equations with non-smooth solutions
    Y. Talaei
    P. M. Lima
    Computational and Applied Mathematics, 2023, 42
  • [36] A New Class of Fredholm Integral Equations of the Second Kind with Non Symmetric Kernel: Solving by Wavelets Method
    Mennouni, Abdelaziz
    Ramdani, Nedjem Eddine
    Zennir, Khaled
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2021, 39 (06): : 67 - 80
  • [37] Projection-type methods for nonlinear integral equations with non-smooth kernels
    Allouch, Chafik
    FILOMAT, 2024, 38 (06) : 2157 - 2176
  • [38] Singular Integral Equations on Non-Smooth Curves in Holder-Frechet Space
    Kats, B. A.
    Mironova, S. R.
    Pogodina, A. Yu
    RUSSIAN MATHEMATICS, 2018, 62 (10) : 26 - 29
  • [39] On a class of non-smooth dynamical systems: A sufficient condition for smooth versus non-smooth solutions
    Danca, M. -F.
    REGULAR & CHAOTIC DYNAMICS, 2007, 12 (01): : 1 - 11
  • [40] On a class of non-smooth dynamical systems: a sufficient condition for smooth versus non-smooth solutions
    M. -F. Danca
    Regular and Chaotic Dynamics, 2007, 12 : 1 - 11