Nonelement boundary representation with Bézier surface patches for 3D linear elasticity problems in parametric integral equation system (PIES) and its solving using Lagrange polynomials

DOI10.1002/num.22175zbMath1386.74148OpenAlexW2736798223WikidataQ115398014 ScholiaQ115398014MaRDI QIDQ4603189

Eugeniusz Zieniuk, Krzysztof Szerszeń

Publication date: 19 February 2018

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.22175

zbMATH Keywords

Somigliana's identityboundary integral equation (BIE)parametric integral equation system (PIES)Navier-Lamé equationparametric Bézier surface patches

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Boundary element methods applied to problems in solid mechanics (74S15) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (5)

The FMM accelerated PIES with the modified binary tree in solving potential problems for the domains with curvilinear boundaries ⋮ A separation between the boundary shape and the boundary functions in the parametric integral equation system for the 3D Stokes equation ⋮ On the formulation of a BEM in the Bézier-Bernstein space for the solution of Helmholtz equation ⋮ Optimization and Identification of the Shape in Elastoplastic Boundary Problems Using Parametric Integral Equation System (PIES) ⋮ An accurate treatment of non-homogeneous boundary conditions for development of the BEM

Uses Software

• HILBERT

Cites Work

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• Isogeometric boundary element analysis using unstructured T-splines
• HILBERT -- a MATLAB implementation of adaptive 2D-BEM. \(\underline {\text H}\)ilbert \(\underline {\text I}\)s a \(\underline {\text L}\)ovely \(\underline {\text B}\)oundary \(\underline {\text E}\)lement \(\underline {\text R}\)esearch \(\underline {\text T}\)ool
• Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
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• A generalized finite element formulation for arbitrary basis functions: From isogeometric analysis to XFEM
• Trefftz, collocation, and other boundary methods—A comparison
• Effective numerical treatment of boundary integral equations: A formulation for three‐dimensional elastostatics
• Hermite curves in the modification of integral equations for potential boundary‐value problems
• Isogeometric Analysis

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