Hermite curves in the modification of integral equations for potential boundary‐value problems

DOI10.1108/02644400310465272zbMath1044.65091OpenAlexW2063673842MaRDI QIDQ4453687

Eugeniusz Zieniuk

Publication date: 7 March 2004

Published in: Engineering Computations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/02644400310465272

zbMATH Keywords

numerical examplepseudospectral methodLaplace equationboundary integral equation methodHermite curvesparametric integral equation systempotential boundary-value 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) Integral representations, integral operators, integral equations methods in two dimensions (31A10)

Related Items (7)

Solving of multi-connected curvilinear boundary value problems by the fast PIES ⋮ Nonelement boundary representation with Bézier surface patches for 3D linear elasticity problems in parametric integral equation system (PIES) and its solving using Lagrange polynomials ⋮ Approximation of the derivatives of solutions in a normalized domain for 2D solids using the PIES method ⋮ The FMM accelerated PIES with the modified binary tree in solving potential problems for the domains with curvilinear boundaries ⋮ 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

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• A cubic‐spline boundary integral method for two‐dimensional free‐surface flow problems
• Application of cubic Hermitian algorithms to boundary element analysis of heat conduction
• Potential problems with polygonal boundaries by a BEM with parametric linear functions

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