Search Results for author: Jared Wunsch

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Decompositions of high-frequency Helmholtz solutions via functional calculus, and application to the finite element method

no code implementations25 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

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