Title :
Inverse nonlinear finite element problems with local and global constraints
Author :
Istfan, B. ; Salon, S.J.
Author_Institution :
Rensselaer Polytech. Inst., Troy, NY, USA
fDate :
11/1/1988 12:00:00 AM
Abstract :
A general one-step method for solving inverse finite-element (FE) field problems is described. Several inverse types are presented, indicating for each which parameters of the problem are specified and which remain to be determined. Mathematical steps are outlined, taking into account nonlinear material characteristics. Examples for some inverse field problems, using first-order triangular elements for the two-dimensional magnetostatic Maxwell equations, are included to illustrate the advantages of the method. The formulation preserves the requirement of a given local flux or a global constraint parameter while yielding the design, i.e. the geometry of the devices
Keywords :
design engineering; finite element analysis; magnetic circuits; magnetostatics; device geometry design; examples; first-order triangular elements; general one-step method; global constraints; inverse field problems; inverse finite element problems; local constraints; magnetic circuit design; nonlinear finite element problems; nonlinear material characteristics; two-dimensional magnetostatic Maxwell equations; Finite element methods; Geometry; Inverse problems; Iron; Magnetic flux; Magnetostatics; Maxwell equations; Nonlinear equations; Saturation magnetization; Voltage;
Journal_Title :
Magnetics, IEEE Transactions on
