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Circuit elements can create ill-conditioned matrices. This and similar problems with ill-conditioned models, such as occur in acoustic-structural harmonic analyses are addressed in the resolution to defect 62373:
To address this bug along with several others that have recently been reported regarding harmonic analyses failing with factorization errors in the Sparse solver, the robust pivoting logic --- the same logic that has been tuned over the last several years for real-value matrices to help handle the U/P formulation elements (which often have zero or tiny pivot values) --- has been implemented for the complex-value matrix routines in the Sparse solver in ANSYS 12.0.
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