Crack is one of the critical factors that degrade the performance of machinery manufacturing
equipment. Recently, physics-informed neural networks (PINNs) have received attention …

The interaction of fibers in a viscous (Stokes) fluid plays a crucial role in industrial and
biological processes, such as sedimentation, rheology, transport, cell division, and …

Every animal cell is filled with a cytoskeleton, a dynamic gel made of inextensible fibers,
such as microtubules, actin fibers, and intermediate filaments, all suspended in a viscous …

An isolated charge-neutral droplet in a uniform electric field experiences no net force.
However, a droplet pair can move in response to field-induced dipolar and hydrodynamic …

Abstract An Isogeometric Boundary Element Method (IgA-BEM) is considered for the
numerical solution of Helmholtz problems on 3D bounded or unbounded domains, admitting …

This paper presents a quadrature method for evaluating layer potentials in two dimensions
close to periodic boundaries, discretized using the trapezoidal rule. It is an extension of the …

Layer potentials represent solutions to partial differential equations in an integral equation
formulation. When numerically evaluating layer potentials at evaluation points close to the …

This research deals with precision calculations of stationary magnetic fields of volumetric
bodies. The electrostatics analogy allows for the use of a scalar magnetic potential, which …

Numerical simulations with rigid particles, drops, or vesicles constitute some examples that
involve 3D objects with spherical topology. When the numerical method is based on …

The accurate and efficient evaluation of potentials is of great importance for the numerical
solution of partial differential equations. When the integration domain of the potential is …