Modeling the shape of boundary using NURBS curves directly in modified boundary integral equations for Laplace's equation
type: Item
instance of: scholarly article
title: Modeling the shape of boundary using NURBS curves directly in modified boundary integral equations for Laplace's equation
zbMATH Open document ID: 1432.65020
author: Eugeniusz Zieniuk
author: Marta Kapturczak
published in: Computational and Applied Mathematics
publication date: 2018-11-05T00:00:00Z
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 65D17
zbMATH DE Number: 6973171
zbMATH Keywords: NURBS curves
zbMATH Keywords: boundary value problems
zbMATH Keywords: shape of boundary modeling
zbMATH Keywords: parametric integral equations system (PIES)
zbMATH Keywords: Laplace's equation
MaRDI profile type: Publication
full work available at URL: s40314-018-0598-2
OpenAlex ID: W2791033733
cites work: Q3965703
cites work: Rational cubic trigonometric Bézier curve with two shape parameters
cites work: On cubics: A survey
cites work: Q3888653
cites work: Q3219912
cites work: Q3354066
cites work: Overhauser elements in boundary element analysis
cites work: Isogeometric Analysis
cites work: Hermitian cubic boundary elements for two-dimensional potential problems
cites work: Q3997243
cites work: Q3151311
cites work: A Hermite interpolation algorithm for hypersingular boundary integrals
cites work: Q3750075
cites work: Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
cites work: C2-CONTINUOUS ELEMENTS FOR BOUNDARY ELEMENT ANALYSIS
cites work: Cubic spline boundary elements
cites work: Q2785470
cites work: Constrained B-spline curve and surface fitting
cites work: A cubic‐spline boundary integral method for two‐dimensional free‐surface flow problems
cites work: NURBS modeling and isogeometric shell analysis for complex tubular engineering structures
cites work: A new integral identity for potential polygonal domain problems described by parametric linear functions.
cites work: Bézier curves in the modification of boundary integral equations (BIE) for potential boundary-values problems.
cites work: Hermite curves in the modification of integral equations for potential boundary‐value problems
cites work: BÉZIER CURVES IN THE MODELING OF BOUNDARY GEOMETRY FOR 2D BOUNDARY PROBLEMS DEFINED BY HELMHOLTZ EQUATION
DOI: 10.1007/S40314-018-0598-2
description: scientific article; zbMATH DE number 6973171