Maximum principle preserving schemes for interface problems with discontinuous coefficients

SIAM Journal on Scientific Computing

Volumn 23, Issue 1, 2002, Pages 339-361

  Li, Zhilin ^a   Ito, Kazufumi ^a  

^a NORTH CAROLINA STATE UNIVERSITY   (United States)

Author keywords

Discontinuous coefficients; Discrete maximum principle; Elliptic interface problems; Finite difference methods; Multigrid methods; Quadratic optimization; Singular source term

Indexed keywords

BOUNDARY CONDITIONS; CONVERGENCE OF NUMERICAL METHODS; FINITE DIFFERENCE METHOD; LINEAR SYSTEMS; OPTIMIZATION; PARTIAL DIFFERENTIAL EQUATIONS;

QUADRATIC OPTIMIZATION;

PROBLEM SOLVING;

EID: 0036208213     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1064827500370160     Document Type: Article

References (13)

1. A multigrid algorithm for immersed interface problems
2. The finite element method for elliptic equations with discontinuous coefficients
3. Finite element methods and their convergence for elliptic and parabolic interface problems
4. Matrix-dependent prolongations and restrictions in a blackbox multigrid solver
5. Immersed interface methods for Neumann and related problems in two and three dimensions
6. Convergence analysis of the immersed interface method
7. The immersed interface method for elliptic equations with discontinuous coefficients and singular sources
8. A fast iterative algorithm for elliptic interface problems
9. New Cartesian grid methods for interface problem using finite element formulation
10. A boundary condition capturing method for Poisson's equation on irregular domain