3 papers
math.AP2019
A variational method for generating -cross fields using higher-order -tensors
Dmitry Golovaty, Jose Alberto Montero, Daniel Spirn
An -cross field is a locally-defined orthogonal coordinate system invariant with respect to the cubic symmetry group. Cross fields are finding wide-spread use in mesh generation…
math.AP2019
Theoretical justification and error analysis for slender body theory with free ends
Yoichiro Mori, Laurel Ohm, Daniel Spirn
Slender body theory is a commonly used approximation in computational models of thin fibers in viscous fluids, especially in simulating the motion of cilia or flagella in swimming…
math.AP2017
Quench detection on a superconducting radio-frequency cavity
Ru-Yu Lai, Daniel Spirn
We study quench detection in superconducting accelerator cavities cooled with He-II. A rigorous mathematical formula is derived to localize the quench position from dynamical data…