Computing the Dirichlet-to-Neumann map via an integral equation with the adjoint generalized Neumann kernel

Computing the Dirichlet-to-Neumann map via an integral equation with the adjoint generalized Neumann kernel

A new numerical method for computing the Dirichlet-to-Neumann map for Laplace’s equation in simply and multiply connected smooth domains is introduced. This method is based on an integral equation with the adjoint generalized Neumann kernel. Contrary to the classical approach which requires numerica...

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Bibliographic Details
Main Authors: Samir Naqos, Ali H.M. Murid, Mohamed M.S. Nasser, Su Hoe Yeak
Format: Article
Language:English
Published: Elsevier 2024-12-01
Series:Partial Differential Equations in Applied Mathematics
Subjects:
Riemann–Hilbert problem
Laplace’s equation
Dirichlet-to-Neumann map
Integral equation
Adjoint generalized Neumann kernel
Online Access:http://www.sciencedirect.com/science/article/pii/S266681812400353X

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http://www.sciencedirect.com/science/article/pii/S266681812400353X

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