Bézier curves in the modification of boundary integral equations (BIE) for potential boundary-values problems.

DOI10.1016/S0020-7683(03)00050-7zbMath1037.65124OpenAlexW1974163575MaRDI QIDQ1415825

Eugeniusz Zieniuk

Publication date: 9 December 2003

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0020-7683(03)00050-7

zbMATH Keywords

Fourier transformpseudospectral methodnumerical examplesLaplace equationBoundary integral equationBézier curveParametric integral equation systemPotential problem

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (10)

NURBS curves in direct definition of the shapes of the boundary for 2D Stokes flow problems in modified classical BIE ⋮ A Novel Strategy for Eliminating the Boundary Layer Effect in the Regularized Integral Identity in PIES for 2D Potential Problem ⋮ Modeling domains using Bézier surfaces in plane boundary problems defined by the Navier-Lamé equation with body forces ⋮ Nonelement boundary representation with Bézier surface patches for 3D linear elasticity problems in parametric integral equation system (PIES) and its solving using Lagrange polynomials ⋮ A separation of the boundary geometry from the boundary functions in PIES for 3D problems modeled by the Navier-Lamé equation ⋮ Modeling the shape of boundary using NURBS curves directly in modified boundary integral equations for Laplace's equation ⋮ BÉZIER CURVES IN THE MODELING OF BOUNDARY GEOMETRY FOR 2D BOUNDARY PROBLEMS DEFINED BY HELMHOLTZ EQUATION ⋮ Concept of modeling uncertainly defined shape of the boundary in two-dimensional boundary value problems and verification of its reliability ⋮ The influence of interval arithmetic on the shape of uncertainly defined domains modelled by closed curves ⋮ An accurate treatment of non-homogeneous boundary conditions for development of the BEM

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