4 problems

Let $\Omega$ be an exterior sound-soft Helmholtz domain with boundary $\Gamma=\partial\Omega$, and let $u$ be the scattered-field solution represented by the method of fundamental…

Let $Omega$ be the domain of the Helmholtz boundary-value problem, and let $Gamma$ be any Jordan curve enclosing $overline{Omega}$ with positive distance from $partialOmega$. Cho…

Let $Omega$ be a simply connected domain with analytic boundary, and let $GammaR={z:rhoz=R}$ be the curve of points with conformal radius $R1$. Choose the MFS charge points equal…

Let $Omega$ be a simply connected domain with analytic boundary, and let $rhoz$ denote the conformal radius of $z$ with respect to $Omega$. Place the MFS points equally spaced in…