Abstract
Various preconditioners for the capacitance matrix problems in domain imbedding (DI) are studied. Such preconditioners can be viewed as inverses of the preconditioners for the Schur complement domain decomposition (DD) methods. Preconditioning techniques based on the hierarchical basis (HB), the square root of $ - d^2 /ds^2 $, and on the vector probing for solving the capacitance matrix problems using preconditioned conjugate gradient iterations are analyzed and tested numerically.
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