AN EXTENSION OF PURCELLS VECTOR METHOD WITH APPLICATIONS TO PANEL ELEMENT EQUATIONS

The classical Purcell's vector method, for the construction of solutio ns to dense systems of linear equations is extended to a flexible orth ogonalisation procedure. Some properties are revealed of the orthogona lisation procedure in relation to the classical Gauss-Jordan eliminati on with or without pivoting. Additional properties that are not shared by the classical Gauss-Jordan elimination are exploited. Further prop erties related to distributed computing are discussed with application s to panel element equations in subsonic compressible aerodynamics. Us ing an orthogonalisation procedure within panel methods enables a func tional decomposition of the sequential panel methods and leads to a tw o-level parallelism.