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Preconditioner and Convergence Study for the Quantum Computer Aided Design (QCAD) Nonlinear Poisson Problem Posted Posed on the Ottawa Flat 270 Design Geometry.

机译:量子计算机辅助设计(QCaD)非线性泊松问题的预条件和收敛性研究在渥太华Flat 270设计几何上发表。

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摘要

A numerical study aimed to evaluate different preconditioners within the Trilinos Ifpack and ML packages for the Quantum Computer Aided Design (QCAD) non-linear Poisson problem implemented within the Albany code base and posed on the Ottawa Flat 270 design geometry is performed. This study led to some new development of Albany that allows the user to select an ML preconditioner with Zoltan repartitioning based on nodal coordinates, which is summarized. Convergence of the numerical solutions computed within the QCAD computational suite with successive mesh refinement is examined in two metrics, the mean value of the solution (an L1 norm) and the field integral of the solution (L2 norm).

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