Intermediate boundary conditions for LOD, ADI, and approximate factorization methods
by R. J. LeVeque ICASE Report 85-21, NASA-CR-172591, NASA Langley Research Center, 1985

Abstract. A general approach to determining the correct intermediate boridnry conditions for dimensional splitting methods is presented a2d illustrated. The intermediate solution U is viewed as a second-order accurate approximation EO a modified equation. Deriving the modified equation and using the relationship between. this equation and the original squation allows us to determine the correct boundary conditions for U illustrate this technique, we apply it to LOD and AD1 methods for the heat equstim in two and three space dimensions. The approximate factorization method is considered in slightly more generality.

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AMS(MOS) Subject Classifications.

Report: LeVeque1985.pdf

Also available at http://ntrs.nasa.gov/search.jsp?N=4294635754

bibtex entry:

@Misc{rjl:icase1985,
  author =       "R. J. LeVeque",
  title =        "Intermediate boundary conditions for {LOD}, {ADI}, and
                 approximate factorization methods",
  howpublished = "ICASE Report No. 85-21, NASA Langley Research Center",
  year =         "1985",
  url =          "http://ntrs.nasa.gov/search.jsp?N=4294635754"
}