Algebraic Multigrid for Industrial Semiconductor Device Simulation

In this paper, strategies for solving systems of partial differential equations by algebraic multigrid are discussed. In particular, a general framework for so-called point-based approaches is outlined. Several applications from industrial semiconductor process and device simulation have been investigated, and detailed results for two industrially relevant devices are presented. It is shown that this framework allows to construct robust and fast algebraic multigrid approaches even for cases, where iterative one-level solvers of the type commonly used in such applications exhibit bad convergence or even fail.