5 problems
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Superlinear threshold conjecture for V-cycle contraction under multigrid axioms
Let , , and be the constants appearing in the multigrid assumptions , and let denote the cycle parameter. V-cycle threshold conjecture.…
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Conjecture on independent PCG and linearization parameters for linear convergence
Consider an adaptive iterative linearized finite element method with a PCG solver parameter and a Zarantonello linearization parameter . PCG-parameter conj…
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Explanation of the iteration plateau in the dielectric spheres problem
The -body dielectric spheres problem uses the continuity constant of the infinite-dimensional operator to bound the large…
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Conjecture on convergence of Ga-based iterative methods at infinite contrast
Consider iterative methods applied to systems obtained with Ga discretization, where the contrast of the material coefficients is the ratio between the largest and smallest phase c…
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Conjecture on the cause of Eyre–Milton divergence for Ga discretization
The coefficient matrix for Ga discretization can have eigenvalues outside the interval determined by the phase coef…