3 papers
math.NA2023
An explicit substructuring method for overlapping domain decomposition based on stochastic calculus
Jorge Morón-Vidal, Francisco Bernal, Atsushi Suzuki
In a recent paper [{\em F. Bernal, J. Morón-Vidal and J.A. Acebrón, Comp. Math. App. 146:294-308 (2023)}] an hybrid supercomputing algorithm for elliptic equations has been put…
math.NA2023
An iterative method for Helmholtz boundary value problems arising in wave propagation
Francisco Bernal, Xingyuan Chen, Goncalo dos Reis
The complex Helmholtz equation (where ) is a mainstay of computational wave simulation. Despite its apparent simplici…
math.NA2023
A Radial Basis Function Partition of Unity Method for Steady Flow Simulations
Francisco Bernal, Ali Safdari-Vaighani, Elisabeth Larsson
A methodology is presented for the numerical solution of nonlinear elliptic systems in unbounded domains, consisting of three elements. First, the problem is posed on a finite doma…