Summary
The rate of convergence of the finite element method is greatly influenced by the existence of corners on the boundary. The paper shows that proper refinement of the elements around the corners leads to the rate of convergence which is the same as it would be on domain with smooth boundary.
Zusammenfassung
Die Konvergenzgeschwindigkeit der Methode der endlichen Elemente wird grundsätzlich durch die Ecken der Grenze beeinflußt. In der Arbeit wird gezeigt, daß man durch geeignetes Verfeinern in der Umgebung der Ecken dieselbe Konvergenz der Methode der endlichen Elemente erzielen kann, wie im Falle eines Gebietes mit glatter Grenze.
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This work was supported in part by National Science Foundation Grant NSF-GP 7844.
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Babuška, I. Finite element method for domains with corners. Computing 6, 264–273 (1970). https://doi.org/10.1007/BF02238811
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DOI: https://doi.org/10.1007/BF02238811