1 citations · 1 across the 9 of their papers we have counts for
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Shape Holomorphy of Boundary Integral Operators on Multiple Open Arcs
Jose Pinto, Fernando Henríquez, Carlos Jerez-Hanckes
We establish shape holomorphy results for general weakly- and hyper-singular boundary integral operators arising from second-order partial differential equations in unbounded two-d…
Shape differentiability of Helmholtz scattering problems via explicit shape calculus
Paul Escapil-Inchauspé, Carlos Jerez-Hanckes
We consider the time-harmonic scalar wave scattering problems with Dirichlet, Neumann, impedance and transmission boundary conditions. Under this setting, we analyze how sensitive…
Derivation of cable equation by multiscale analysis for a model of myelinated axons
Carlos Jerez-Hanckes, Irina Pettersson, Volodymyr Rybalko
The paper concerns the multiscale modeling of a myelinated axon. Taking into account the microstructure with alternating myelinated parts and nodes Ranvier, we derive a nonlinear c…
Closed-Form Exact Inverses of the Weakly Singular and Hypersingular Operators On Disks
Ralf Hiptmair, Carlos Jerez-Hanckes, Carolina Urzua-Torres
We introduce new boundary integral operators which are the exact inverses of the weakly singular and hypersingular operators for the Laplacian on flat disks. Moreover, we provide e…