6 problems
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Decomposition conjecture for maximally monotone structures
A maximally monotone structure is a structure with the maximal-monotonicity property in the port-Hamiltonian framework. A Dirac structure represents a power-conserving interconnect…
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Extension of the structure-preserving discretization to higher-dimensional manifolds
The paper considers a one-dimensional nonlinear distributed parameter system in port-Hamiltonian form, discretized by partitioning its geometry into elements and introducing a midp…
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Boundary compatibility conjecture for higher-order finite elements
Boundary compatibility conjecture. For the boldface convergence-rate cases in the relevant numerical table, using or boundary finite elements satisfies the compatibil…
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Well-posedness hypothesis for the regularity-class wave equation
Well-posedness hypothesis. There exists a unique solution with…
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Conjectured convergence for weakly symmetric mixed finite elements for Mindlin plates
Weak-symmetry convergence conjecture. Assuming a smooth solution to the Mindlin plate problem, the error estimates
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Conjectured dynamic convergence for mixed finite elements for Mindlin plates
Dynamic convergence conjecture. Assuming a smooth solution to the Mindlin plate problem, the error estimates