| In this paper, the least-squares mixed finite element method with interpolationcoefficients is studied for a type of semilinear two-point boundary value problemsand semilinear elliptic boundary value problems. Introducing the projectionoperators and dual problems, we do some analysis for the convergence and finallyobtain theH1-norm andL2-norm error estimates.This dissertation consists of two parts. The purpose of the first part is to studyleast-squares mixed finite element method with interpolation coefficients and itscomputational scheme for the semilinear two-point boundary value problems, andgain theH1-norm andL2-norm error estimates. Then an example is given toillustrate the effectiveness of the proposed method.In the second part of this article, we research the two dimensional semilinearelliptic boundary value problems. We also study least-squares mixed finite elementmethod with interpolation coefficients and its computational scheme overtriangulations, and obtain theH1-norm andL2-norm error estimates on the regularfamilies of uniform triangulations. |
