Numerical Treatment of Vertex Singularities and Intensity Factors for Mixed Boundary Value Problems for the Laplace Equation in R3

A numerical method for the computation of the singular behavior of the solution of the Laplace equation is proposed in this paper. It is shown that the accuracy of the computed stress intensity factor by the h, p and h-p versions of the finite element method has the same order as the square of the e...

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Bibliographische Detailangaben
Hauptverfasser:	Babuska, Ivo, Von Petersdorff, T, Andersson, B
Format:	Report
Sprache:	eng
Schlagworte:	ACCURACY BOUNDARY VALUE PROBLEMS COMPUTATIONS ENERGY ERRORS ESTIMATES FINITE ELEMENT ANALYSIS Fluid Mechanics INTENSITY LAPLACE EQUATION MESH PARTIAL DIFFERENTIAL EQUATIONS POLYHEDRONS Statistics and Probability STRUCTURAL MECHANICS
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Beschreibung
Zusammenfassung:	A numerical method for the computation of the singular behavior of the solution of the Laplace equation is proposed in this paper. It is shown that the accuracy of the computed stress intensity factor by the h, p and h-p versions of the finite element method has the same order as the square of the error of the solution measured in the energy norm. Numerical examples are given