A fictitious domain method for Dirichlet problem and applications

This publication has 14 references indexed in Scilit:

• A locally refined rectangular grid finite element method: Application to computational fluid dynamics and computational physics
  Journal of Computational Physics, 1991
• Domain imbedding methods for the Stokes equations
  Numerische Mathematik, 1990
• Two-stage fictitious components method for solving the Dirichlet boundary value problem
  Russian Journal of Numerical Analysis and Mathematical Modelling, 1988
• Superconvergent recovery of gradients on subdomains from piecewise linear finite‐element approximations
  Numerical Methods for Partial Differential Equations, 1987
• Fictitious domain and domain decomposition methods
  Russian Journal of Numerical Analysis and Mathematical Modelling, 1986
• Capacitance Matrix Methods for the Helmholtz Equation on General Three-Dimensional Regions
  Mathematics of Computation, 1979
• Numerical Methods for the First Biharmonic Equation and for the Two-Dimensional Stokes Problem
  SIAM Review, 1979
• Method of fictitious domains for a second-order elliptic equation with natural boundary conditions
  USSR Computational Mathematics and Mathematical Physics, 1978
• The Direct Solution of the Discrete Poisson Equation on a Disk
  SIAM Journal on Numerical Analysis, 1973
• A Fast Direct Solution of Poisson's Equation Using Fourier Analysis
  Journal of the ACM, 1965