Mismatched quadrature from automatic selection in FEM for HJB equations breaks superlinear convergence of policy iteration; matching quadratures recovers it.
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The Effect of Quadrature on the Convergence of Policy Iteration for Hamilton-Jacobi-Bellman Equations
Mismatched quadrature from automatic selection in FEM for HJB equations breaks superlinear convergence of policy iteration; matching quadratures recovers it.