A solution to boundary value problems with over-specified boundary conditions
Abstract
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.
- Publication:
-
Zeitschrift Angewandte Mathematik und Physik
- Pub Date:
- July 1985
- DOI:
- Bibcode:
- 1985ZaMP...36..629R
- Keywords:
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- Axial Flow Turbines;
- Boundary Conditions;
- Boundary Value Problems;
- Computational Fluid Dynamics;
- Flow Velocity;
- Differential Equations;
- Linear Equations;
- Meridional Flow;
- Partial Differential Equations;
- Velocity Distribution;
- Fluid Mechanics and Heat Transfer;
- Boundary Condition;
- Differential Equation;
- Linear Equation;
- Mathematical Method;
- Potential Theory