ADI method – Domain decomposition
Copyright policy )ADI method – Domain decomposition
A domain decomposition algorithm which is based on an implicit prediction and fully implicit scheme for the interior values, for solving parabolic partial differential equations, is presented. It is shown that this algorithm without the correction procedure is unconditionally stable. The modified alternating direction implicit (ADI) algorithm is deduced from this algorithm so that the ADI method is considered as the extreme case of the domain decomposition algorithm.
- University of Alabama, USA United States
- Alabama Agricultural and Mechanical University United States
- University of West Alabama United States
Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs, Finite difference methods for initial value and initial-boundary value problems involving PDEs, parabolic problem, unconditional stability, Initial value problems for second-order parabolic equations, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, domain decomposition method, alternating direction implicit algorithm
Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs, Finite difference methods for initial value and initial-boundary value problems involving PDEs, parabolic problem, unconditional stability, Initial value problems for second-order parabolic equations, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, domain decomposition method, alternating direction implicit algorithm
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