4 problems
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Conjecture that different subcell layouts restore convergence speed
Consider a spectral volume method whose convergence is slower than the expected order at the tested resolutions, and let a subcell layout mean the arrangement of subcells within a…
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Conjecture on seventh-order convergence at extreme resolutions
Consider a numerical convergence experiment for a spectral volume method with continuous basis functions, whose observed convergence order is six rather than the expected sev…
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Optimal fourth-order convergence from entropy-dissipative upwind fluxes
Consider the discontinuous Galerkin methods for the vector-invariant spherical shallow water equations described in the paper, and compare their convergence with the optimal fourth…
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Conjectured dynamic convergence for the Hellan-Herrmann-Johnson Kirchhoff plate method
Kirchhoff plate convergence conjecture. Assuming a smooth solution of the Kirchhoff plate problem, the error estimates