Title :
A posteriori error estimation and adaptive meshing using error in constitutive relation
Author :
Remacle, J.F. ; Dular, P. ; Genon, A. ; Legros, W.
Author_Institution :
Inst. Montefiore, Liege Univ., Belgium
fDate :
5/1/1996 12:00:00 AM
Abstract :
The paper presents a method to control the quality of finite element solutions error in the constitutive relation. An a posteriori estimator is built up. Its construction is general and gives quantitative results about the accuracy of the solution. Both problems of control of quality and mesh optimisation are also discussed. Several examples are presented. A method used to compute a magnetic field that verifies Ampere´s law using only local calculations is presented
Keywords :
adaptive estimation; error analysis; finite element analysis; magnetic fields; optimisation; Ampere´s law; a posteriori error estimation; adaptive meshing; error control; finite element solutions error; magnetic field; mesh optimisation; quality control; solution accuracy; Computational efficiency; Electromagnetic devices; Equations; Error analysis; Error correction; Finite element methods; Magnetic field measurement; Magnetic fields; Magnetic flux; Magnetostatics; Upper bound;
Journal_Title :
Magnetics, IEEE Transactions on
