@phdthesis{Tang2005,
  author    = {Tang, Shaowu},
  title     = {Multiscale and geometric methods for linear elliptic and parabolic partial differential equations},
  url       = {https://nbn-resolving.org/urn:nbn:de:101:1-201305171104},
  school    = {IRC-Library, Information Resource Center der Jacobs University Bremen},
  year      = {2005},
  abstract  = {In this thesis a variety of linear elliptic and parabolic boundary value probelms with general geometries are investigated. In chapter 3 and chapter 4, we derive a fictitious domain/penalty method for parabolic PDE with Dirichlet and Neumann conditions, got some convergence results and error estimates. In chapter 5, we construct a fictitious domain/successive approximation approach to a variety of BVP and present multigrid algorithms. In chapter 6, a modified wavelet sampling formulae is established and used for a class of anisotropic problems to get a robust fast solver.},
  language  = {en}
}