Abstract
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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© 1987 Springer Fachmedien Wiesbaden
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Kutner, A., Sändig, AM. (1987). Finite Element Methods. In: Some Applications of Weighted Sobolev Spaces. Teubner-Texte zur Mathematik, vol 100. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-11385-0_2
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DOI: https://doi.org/10.1007/978-3-663-11385-0_2
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-663-11386-7
Online ISBN: 978-3-663-11385-0
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