
doi: 10.1007/bf01934124
This paper deals with the intermediate boundary corrections required by splittings of alternating direction methods for solving three space dimensional problems involving Laplace's equation or the heat conduction equation. In addition to considering the existing splittings of Douglas and D'Yakonov, a new splitting is introduced. The extensions of the results to multidimensional problems are briefly noted.
Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Heat equation, Numerical methods for partial differential equations, boundary value problems
Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Heat equation, Numerical methods for partial differential equations, boundary value problems
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