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A Preconditioned Quantum Linear Solver for Periodic Two-Phase Heat Conduction with Mesh-Independent Condition Number

Suresh, Krishnan
arXiv (All) · Papers
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analysis-of-pdesand-sciencecomputational-engineeringfinancenumerical-analysis
We consider here computational homogenization of a periodic two-phase conduction problem. Quantum linear-system algorithms for its finite element discretization are limited by the condition number of the stiffness matrix. This condition number grows quadratically with the number of elements per side
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