A Priori Error Estimates for the Finite Element Approximation of a Nonlocal Kirchhoff Problem Using Web-Splines

A Priori Error Estimates for the Finite Element Approximation of a Nonlocal Kirchhoff Problem Using Web-Splines

In this paper we consider the web-spline based mesh-free finite element approximation for a nonlocal problem of Kirchhoff type. We give existence and uniqueness results for the weak formulation at continuous as well as discrete levels. Finally, we provide a priori error bound for the web-spline base...

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Veröffentlicht in:International journal of applied and computational mathematics 2017-03, Vol.3 (1), p.107-118
Hauptverfasser: Chaudhary, Sudhakar, Srinivas Kumar, V. V. K.
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Applied mathematics
Approximation
Computational mathematics
Computational Science and Engineering
Mathematical and Computational Physics
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Nuclear Energy
Operations Research/Decision Theory
Original Paper
Theoretical
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Zusammenfassung:In this paper we consider the web-spline based mesh-free finite element approximation for a nonlocal problem of Kirchhoff type. We give existence and uniqueness results for the weak formulation at continuous as well as discrete levels. Finally, we provide a priori error bound for the web-spline based finite element solution.
ISSN:2349-5103
2199-5796
DOI:10.1007/s40819-015-0092-0