Modeling the shape of boundary using NURBS curves directly in modified boundary integral equations for Laplace's equation
DOI10.1007/s40314-018-0598-2zbMath1432.65020OpenAlexW2791033733MaRDI QIDQ1993475
Marta Kapturczak, Eugeniusz Zieniuk
Publication date: 5 November 2018
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-018-0598-2
boundary value problemsLaplace's equationNURBS curvesparametric integral equations system (PIES)shape of boundary modeling
Numerical computation using splines (65D07) Computer-aided design (modeling of curves and surfaces) (65D17) Boundary element methods for boundary value problems involving PDEs (65N38)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Rational cubic trigonometric Bézier curve with two shape parameters
- Overhauser elements in boundary element analysis
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Constrained B-spline curve and surface fitting
- A new integral identity for potential polygonal domain problems described by parametric linear functions.
- Bézier curves in the modification of boundary integral equations (BIE) for potential boundary-values problems.
- NURBS modeling and isogeometric shell analysis for complex tubular engineering structures
- BÉZIER CURVES IN THE MODELING OF BOUNDARY GEOMETRY FOR 2D BOUNDARY PROBLEMS DEFINED BY HELMHOLTZ EQUATION
- On cubics: A survey
- Hermitian cubic boundary elements for two-dimensional potential problems
- Cubic spline boundary elements
- A Hermite interpolation algorithm for hypersingular boundary integrals
- C2-CONTINUOUS ELEMENTS FOR BOUNDARY ELEMENT ANALYSIS
- Hermite curves in the modification of integral equations for potential boundary‐value problems
- Isogeometric Analysis
- A cubic‐spline boundary integral method for two‐dimensional free‐surface flow problems
This page was built for publication: Modeling the shape of boundary using NURBS curves directly in modified boundary integral equations for Laplace's equation