期刊文献+

A METHOD FOR SOLVING THE INVERSE SCATTERING PROBLEM FOR SHAPE AND IMPEDANCE 被引量:1

A METHOD FOR SOLVING THE INVERSE SCATTERING PROBLEM FOR SHAPE AND IMPEDANCE
原文传递
导出
摘要 The inverse problem considered in this paper is to determine the shape and the impedance of an obstacle from a knowledge of the time-harmonic incident field and the phase and amplitude of the far field pattern of the scattered wave in two-dimension. Single-layer potential is used to approach the scattered waves. An approximation method is presented and the convergence of the proposed method is established. Numerical examples are given to show that this method is both accurate and easy to use. The inverse problem considered in this paper is to determine the shape and the impedance of an obstacle from a knowledge of the time-harmonic incident field and the phase and amplitude of the far field pattern of the scattered wave in two-dimension. Single-layer potential is used to approach the scattered waves. An approximation method is presented and the convergence of the proposed method is established. Numerical examples are given to show that this method is both accurate and easy to use.
出处 《Journal of Computational Mathematics》 SCIE EI CSCD 2008年第4期624-632,共9页 计算数学(英文)
关键词 Impedance boundary condition Helmholtz equation Inverse scattering Convergence. Impedance boundary condition, Helmholtz equation, Inverse scattering, Convergence.
  • 相关文献

参考文献2

二级参考文献12

  • 1王连堂.声波及散射的“Limited Aperture”问题[J].计算数学,1997,19(1):73-82. 被引量:3
  • 2Feng Kang, Yu Dehao. Canonical integral equations of elliptic boundary value problems and their numerical solutions[A]. Proc. of China-France Symposium on FEM(1982)[C], Science Press, 1983;211-252.
  • 3Rainer Kress. Boundary Integral Equaton in Time-Harmonic Acoustic Scattering[M]. 1991.
  • 4Colton D, Kress R. Integral equation methods in scattering theory[M]. Wiley-Interscience Publication, New York, 1983.
  • 5D. Colton and P. Monk, A Novel Method for Solving The Inverse Scattering Problem for Time-harmonic Acoustic Waves in The Resonance Region II, SIAM J. Appl. Math.,46(1986), 506-523.
  • 6D. Colton and P. Monk, A Novel Method for Solving The Inverse Scattering Problem for Time-harmonic Acoustic Waves in The Resonance Region, SIAM J. Appl. Math.,45(1985), 1039-1053.
  • 7R.L. Ochs, The Limited Aperture Problem of Inverse Scattering: Dirichlet Boundary Condition, SIAM J.Appl. Math., 47(1987), 1320-1341.
  • 8D. Colton and R. Kress, Inverse Acoustic and Electromagnetic Scattering Theory, Spring-Verlag, 1992.
  • 9D. Colton and R. Kress, Integrel Equation Methods in Scattering Theory, Wiley-Intescience Publication, New York, 1983.
  • 10D. Gilberg and N.S. Trudinger, Elliptic Partial Differential Equation of Second Order,Springer-Verlag, 1977.

共引文献7

引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部