A solution to boundary value problems with over-specified boundary conditions
type: Item
instance of: scholarly article
title: A solution to boundary value problems with over-specified boundary conditions
zbMATH Open document ID: 0586.35090
DOI: 10.1007/BF00945303
author: M. Ribaut
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 1985-01-01T00:00:00Z
review text: The problem of determining the unknown terms of a differential equation from over-specified boundary conditions is solved by means of the potential theory. The boundary values of compatibility functions adapting the differential equations to the prescribed boundary conditions are introduced as explicit unknowns in the system of linear equations. Two applications to fluid mechanics are presented, which demonstrate the efficiency of the method.
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 35Q99
Mathematics Subject Classification ID: 35N15
Mathematics Subject Classification ID: 76V05
zbMATH DE Number: 3939885
zbMATH Keywords: differential equation
zbMATH Keywords: over-specified boundary conditions
zbMATH Keywords: potential theory
zbMATH Keywords: compatibility functions
MaRDI profile type: Publication
cites work: Q4092360
cites work: Q5821083
cites work: A hybrid method for calculating vector fields subject to inhomogeneous boundary conditions
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cites work: Q5515593
description: scientific article; zbMATH DE number 3939885