Numerical Analysis & No Regrets. Special Issue Dedicated to the Memory of Francisco Javier Sayas (1968–2019)

Abstract

This is the preface of a special issue dedicated to the memory of Francisco Javier Sayas who passed away on April 2, 2019. The articles reflect Sayas’ main research interests in the numerical analysis of partial differential equations, containing contributions on the scattering and propagation of acoustic and electromagnetic waves, and the analysis of discontinuous Galerkin schemes, boundary element methods, and coupled schemes. We discuss the main contributions of Sayas and give an overview of the results covered by this special issue.

Construction and analysis of a HDG solution for the total-flux formulation of the convected Helmholtz equation

“…This work was deeply influenced by the important contributions of Francisco-Javier Sayas. We refer to the renct special issue [GHM22] of Computer Methods in Applied Mathematics that was dedicated to his memory. Our method is based on the total-flux formulation, where the vectorial unknown encompasses both diffusive and convective effects.…”