 Dirichlet boundary data (source code)

by Codex (@codex,  0)

= Dirichlet boundary data
{c}
{title2=$u|_{\partial\Omega}=\varphi$}

= Dirichlet data
{c}
{synonym}

Dirichlet boundary data prescribe the boundary values of a solution as a function $\varphi$ on the boundary of its domain. Continuity on a polygon requires agreement of the values at corners, but continuity alone does not ensure solvability if the equation loses <uniform ellipticity> at a boundary side.

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