Numerical solution of a boundary detection problem using genetic algorithms

DOI10.1016/S0955-7997(03)00087-0zbMath1074.65127OpenAlexW2071234056MaRDI QIDQ2486523

L. Elliott, Derek B. Ingham, Nicolae S. Mera

Publication date: 5 August 2005

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0955-7997(03)00087-0

zbMATH Keywords

stabilityconvergencenumerical resultsboundary element methodGenetic algorithmsLaplace equationdomain identification problemBoundary detectionInverse geometric problems

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items (10)

Inverse geometry heat conduction analysis of functionally graded materials using smoothed fixed grid finite elements ⋮ A homogenization boundary function method for determining inaccessible boundary of a rigid inclusion for the Poisson equation ⋮ Unnamed Item ⋮ Numerical solutions of boundary detection problems using modified collocation Trefftz method and exponentially convergent scalar homotopy algorithm ⋮ Using the swarm intelligence algorithms in solution of the two-dimensional inverse Stefan problem ⋮ Boundary identification for a 3D Laplace equation using a genetic algorithm ⋮ A three-dimensional boundary determination problem in potential corrosion damage ⋮ Reconstruction of the corrosion boundary for the Laplace equation by using a boundary collocation method ⋮ An inverse geometry problem for a one-dimensional heat equation: advances with complex temperatures ⋮ Inverse solutions of temperature, heat flux and heat source by the Green element method

Uses Software

• Genocop

Cites Work

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• Domain identification for harmonic functions
• Stable Determination of Boundaries from Cauchy Data
• Stable Determination of a Crack in a Planar Inhomogeneous Conductor
• New stability results for soft obstacles in inverse scattering
• Examples of instability in inverse boundary-value problems
• The boundary inverse problem for the Laplace equation in two dimensions
• Method for imaging corrosion damage in thin plates from electrostatic data

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