【摘要】：探討了半帶型區(qū)域上二維Poisson方程只含有一個(gè)空間變量的未知源識(shí)別反問(wèn)題.這類問(wèn)題是不適定的,即問(wèn)題的解(如果存在)不連續(xù)依賴于測(cè)量數(shù)據(jù).利用擬邊界正則化方法,得到問(wèn)題的一個(gè)正則近似解,并且給出正則解和精確解之間具有H銉ler型誤差估計(jì).數(shù)值實(shí)驗(yàn)表明擬邊界正則化方法對(duì)于這種未知源識(shí)別反問(wèn)題是非常有效的.
[Abstract]:In this paper, the inverse problem of unknown source identification for two-dimensional Poisson equation with only one spatial variable in semi-band region is discussed. This kind of problem is ill-posed, that is, the solution of the problem (if it exists) does not depend on the measurement data. By using the quasi-boundary regularization method, a regular approximate solution of the problem is obtained, and the error estimation with H 鈮，

本文編號(hào)：2504118