On the Stability of the Collocation Method for the Radiosity Equation on Polyhedral Domains
نویسنده
چکیده
This article investigates the stability of the collocation method for the Radiosity equation. We introduce graded meshes and trial spaces of piecewise poynomials and prove stability for some modified collocation method. Next we show that graded meshes are necessary, even for linear convergence. The generation of triangulations which allow higher order approximations leads to geometrical problems which are interesting of their own, but do not affect the stability of the collocation method.
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