2 papers
math.NA2026
Integral Formulations for two-dimensional Multi-Arcs
Jose Pinto, Ruben Aylwin
We study the Laplace equation with Dirichlet and Neumann boundary conditions posed on multi-arcs, i.e., collections of open arcs meeting at junction points. We begin by introducing…
math.NA2025
Fractional differential equations: non-constant coefficients, simulation and model reduction
Ruben Aylwin, Göksu Oruc, Karsten Urban
We consider boundary value problems with Riemann-Liouville fractional derivatives of order with non-constant diffusion and reaction coefficients. A variational formul…