Optimal a priori estimates for higher order finite elements for elliptic interface problems

This publication has 18 references indexed in Scilit:

• Interior-penalty-stabilized Lagrange multiplier methods for the finite-element solution of elliptic interface problems
  IMA Journal of Numerical Analysis, 2009
• Error estimation of a class of quadratic immersed finite element methods for elliptic interface problems
  Discrete and Continuous Dynamical Systems-Series B, 2007
• Quadratic immersed finite element spaces and their approximation capabilities
  Advances in Computational Mathematics, 2006
• An unfitted finite element method, based on Nitsche’s method, for elliptic interface problems
  Computer Methods in Applied Mechanics and Engineering, 2002
• A mortar element method for elliptic problems with discontinuous coefficients
  IMA Journal of Numerical Analysis, 2002
• Modeling holes and inclusions by level sets in the extended finite-element method
  Computer Methods in Applied Mechanics and Engineering, 2001
• Finite element interpolation of nonsmooth functions satisfying boundary conditions
  Mathematics of Computation, 1990
• Fitted and Unfitted Finite-Element Methods for Elliptic Equations with Smooth Interfaces
  IMA Journal of Numerical Analysis, 1987
• The Finite Element Method for Elliptic Problems
  Journal of Applied Mechanics, 1978
• Construction of curvilinear co‐ordinate systems and applications to mesh generation
  International Journal for Numerical Methods in Engineering, 1973