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Showing 1 to 7 of 7 for “"Helmholtz decomposition"”.
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Asymptotic staticity and tensor decompositions with fast decay conditions
… surjectivity of a certain operator. Some tensor decompositions in asymptotically flat manifolds exhibit some of the difficulties encountered above. The Helmholtz decomposition, which plays a role in the preparation of initial data for the Maxwell equations, is discussed as a model problem. A …
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Numerical analysis for quantum electrodynamics in the ultrastrong coupling regime
… investigates the satisfaction of the generalized Helmholtz decomposition in DEC simulations in the presence of multiple types of boundary conditions, paving the way for its application in analyzing a superconducting qubit-resonator system.
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Gaussian processes at the Helm(holtz): A more fluid model for ocean currents
… components of a vector field obtained through a Helmholtz decomposition. We show that, because this decomposition relates to the original vector field just via mixed partial derivatives, we can still perform inference given the original data with only a small constant multiple of additional …
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On quantum vortex reconnections
… during the reconnection process. By applying the Helmholtz decomposition of the kinetic energy, we further characterize how the inclination angle affects the partition between incompressible and compressible components, highlighting the respective roles of Kelvin wave generation and sound …
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Topology Optimization Using Load Path and Homogenization
… and irrotational fields using Gurtin or Helmholtz decomposition. The load path is calculated using the solenoidal field. A novel method for topology optimization using load paths and total variation of different objective functions is formulated and implemented. This approach uses the …
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Added Mass and Vortical Impulse: Theory and Experiment
The classical decomposition of aerodynamic force into added-mass and circulatory components is derived under the assumption of inviscid flow. In the present thesis, this decomposition is shown to be valid for viscous flows. The classical added-mass force, derived using (acyclic) potential flow …
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Results on the interaction between atomistic and continuum models
… Beltrami representation (a version of the vector Helmholtz decomposition for symmetric tensors). 3. We show that an ambiguity in the original Irving--Kirkwood procedure resulting due to the non-uniqueness of the energy decomposition between particles can be completely avoided through an alternate …