no code implementations • 25 Feb 2021 • David Lafontaine, Euan A. Spence, Jared Wunsch
These results allow us to prove new frequency-explicit convergence results for (i) the $hp$-finite-element method applied to the variable coefficient Helmholtz equation in the exterior of a Dirichlet obstacle, when the obstacle and coefficients are analytic, and (ii) the $h$-finite-element method applied to the Helmholtz penetrable-obstacle transmission problem.
Analysis of PDEs Numerical Analysis Numerical Analysis