BÉZIER CURVES IN THE MODELING OF BOUNDARY GEOMETRY FOR 2D BOUNDARY PROBLEMS DEFINED BY HELMHOLTZ EQUATION

DOI10.1142/S0218396X06003098zbMath1198.65240MaRDI QIDQ3056107

Eugeniusz Zieniuk, Agnieszka Bołtuć

Publication date: 10 November 2010

Published in: Journal of Computational Acoustics (Search for Journal in Brave)

zbMATH Keywords

Helmholtz equationBézier curvesparametric integral equation system (PIES)

Mathematics Subject Classification ID

Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items

NURBS curves in direct definition of the shapes of the boundary for 2D Stokes flow problems in modified classical BIE ⋮ Parametric integral equation system (PIES) for 2D elastoplastic analysis ⋮ 2D elastoplastic boundary problems solved by PIES without strongly singular surface integrals ⋮ Modeling domains using Bézier surfaces in plane boundary problems defined by the Navier-Lamé equation with body forces ⋮ The boundary element-free method for 2D interior and exterior Helmholtz problems ⋮ Approximation of the derivatives of solutions in a normalized domain for 2D solids using the PIES method ⋮ On the formulation of a BEM in the Bézier-Bernstein space for the solution of Helmholtz equation ⋮ Modeling the shape of boundary using NURBS curves directly in modified boundary integral equations for Laplace's equation ⋮ Elastoplastic boundary problems in PIES comparing to BEM and FEM ⋮ Numerical approximation strategy for solutions and their derivatives for two-dimensional solids ⋮ Automatic generating and spread of a plastic region in PIES

Cites Work

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• Adaptive boundary element method of time-harmonic exterior acoustics in two dimensions
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• A spectral boundary integral equation method for the 2D Helmholtz equation
• Error estimation for boundary element method
• Influence of Element Types on Numeric Error for Acoustic Boundary Elements
• Potential problems with polygonal boundaries by a BEM with parametric linear functions
• Performance of the BEM solution in 3D acoustic wave scattering

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