Numerical Reconstruction of the Source in Dynamical Boundary Condition of Laplace’s Equation

Numerical Reconstruction of the Source in Dynamical Boundary Condition of Laplace’s Equation

In this work, we consider Cauchy-type problems for Laplace’s equation with a dynamical boundary condition on a part of the domain boundary. We construct a discrete-in-time, meshless method for solving two inverse problems for recovering the space–time-dependent source and boundary functions in dynam...

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Bibliographic Details
Main Authors: Miglena N. Koleva, Lubin G. Vulkov
Format: Article
Language:English
Published: MDPI AG 2024-01-01
Series:Axioms
Subjects:
Laplace’s equation
dynamical boundary conditions
inverse problems
Green’s identity
meshless method
conjugate gradient method
Online Access:https://www.mdpi.com/2075-1680/13/1/64

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