Steklov approximations of harmonic boundary value problems on planar regions

DOI10.1016/j.cam.2017.02.034zbMath1366.65099arXiv1609.07400OpenAlexW2964202997MaRDI QIDQ2357436

Manki Cho, J. F. G. Auchmuty

Publication date: 13 June 2017

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.07400

zbMATH Keywords

boundary value problemserror boundharmonic functionsharmonic approximationLaplace's equationSteklov eigenfunctions

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Error bounds for boundary value problems involving PDEs (65N15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (4)

A novel efficient numerical solution of Laplace equation with mixed boundary conditions ⋮ Unnamed Item ⋮ Highly accurate and efficient numerical methods for a problem of heat conduction ⋮ Steklov Expansion Method for Regularized Harmonic Boundary Value Problems

Uses Software

• FreeFem++

Cites Work

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• Bases and comparison results for linear elliptic eigenproblems
• Inverse positivity for general Robin problems on Lipschitz domains
• On the Hersch-Payne-Schiffer inequalities for Steklov eigenvalues
• The approximation and computation of a basis of the trace space \(H^{1/2}\)
• Harmonic Function Theory
• Steklov Eigenproblems and the Representation of Solutions of Elliptic Boundary Value Problems
• Numerical Approximation Methods for Elliptic Boundary Value Problems
• Spectral Characterization of the Trace Spaces ${H^s({\partial \Omega})}$
• New development in freefem++
• Reproducing Kernels for Hilbert Spaces of Real Harmonic Functions
• Boundary Integrals and Approximations of Harmonic Functions

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