Inverse Boundary Value Problems Of
The Laplace Equation
Author(s)
Q. Wangi & K. Onishi
Abstract
The Laplace equation in a bounded domain of two dimensions is considered,
subjected to data generally prescribed on the boundary. Problems consist
of under-determined boundary value problem, conventional boundary value
problem, Cauchy problem, and over-determined boundary value problem.
The purpose of the paper is to present a unified new treatment of those
problems in order to provide a numerical modelling of groundwater and
aquifer.
1 Introduction
Let Q C P? be a domain bounded by a smooth curve F with the Cartesian
coordinates x = (#i,£2)- We consider the Laplace equation
-Au(x) = 0 in ft. (1)
Let n denote the outward unit
Keywords
Related Book
Other papers in this volume
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