Anisotropic curl-free wavelets with boundary conditions

被引：0
作者：
Yingchun Jiang
机构：
[1] School of Mathematics and Computational Science,
[2] Guilin University of Electronic Technology,undefined
来源：
Journal of Inequalities and Applications | / 2012卷
关键词：
anisotropic; curl-free; wavelets; bounded domains; boundary conditions;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper deals with the construction of anisotropic curl-free wavelets that satisfy the tangent boundary conditions on bounded domains. Based on some assumptions, we first obtain the desired curl-free Riesz wavelet bases through the orthogonal decomposition of vector-valued L2. Next, the characterization of Sobolev spaces is studied. Finally, we give the concrete construction of wavelets satisfying the initial assumptions.
引用
收藏
相关论文
共 50 条
  • [21] Entrainment boundary conditions for free shear flows
    Boersma, BJ
    INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS, 2000, 13 (04) : 357 - 363
  • [22] Bosons on a rotating ring with free boundary conditions
    Corradini, Olindo
    Flachi, Antonino
    Marmorini, Giacomo
    Muratori, Maurizio
    Vitagliano, Vincenzo
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2021, 54 (40)
  • [23] Optimized first-order absorbing boundary conditions for anisotropic elastodynamics
    Rabinovich, Daniel
    Vigdergauz, Shmuel
    Givoli, Dan
    Hagstrom, Thomas
    Bielak, Jacobo
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2019, 350 : 719 - 749
  • [24] Existence of Solutions of Anisotropic Problems with Variable Exponents with Robin Boundary Conditions
    M. Hsini
    L. Mbarki
    K. Das
    Mathematical Notes, 2022, 112 : 898 - 910
  • [25] On the asymptotic boundary conditions of an anisotropic beam via virtual work principle
    Kim, J. -S.
    Wang, K. W.
    INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2011, 48 (16-17) : 2422 - 2431
  • [26] Interpolation Wavelets in Boundary Value Problems
    Yu. N. Subbotin
    N. I. Chernykh
    Proceedings of the Steklov Institute of Mathematics, 2018, 300 : 172 - 183
  • [27] Interpolation Wavelets in Boundary Value Problems
    Subbotin, Yu. N.
    Chernykh, N. I.
    PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2018, 300 : 172 - 183
  • [28] Interpolation wavelets in boundary value problems
    Subbotin, Yu N.
    Chernykh, N., I
    TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2016, 22 (04): : 257 - 268
  • [29] Boundary conditions for free interfaces with the lattice Boltzmann method
    Bogner, Simon
    Ammer, Regina
    Ruede, Ulrich
    JOURNAL OF COMPUTATIONAL PHYSICS, 2015, 297 : 1 - 12
  • [30] Importance on boundary conditions at interfaces and free surfaces of materials
    Cheng, KJ
    Cheng, SY
    RARE METAL MATERIALS AND ENGINEERING, 1998, 27 (04) : 189 - 193
12345