Finite Element Methods
Boundary value problems are difficult to treat numerically when they are defined in domains with nonsmooth boundaries. In this situation standard techniques lose accuracy near the resulting singularities, and global pollution takes place. The reason for the appearance of this effect is the lower regularity of the solutions of such problems, in comparison with those having smooth boundaries. The regularity of solutions of boundary value problems in domains with conical points was studied in detail in Chapter I, Section 3.
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