RELIABILITY ASSESSMENT OF AN A-POSTERIORI ERROR ESTIMATE FOR ADAPTIVECOMPUTATION OF ELECTROMAGNETIC-FIELD PROBLEMS

Optimal performance of an adaptive Finite Element (FE) computation dep ends on the availability of a reliable and computationally efficient ' a posteriori' error estimation strategy. The reliability of an error e stimate ensures that the quality of the computed solution remains with in a specified accuracy and also guarantees that the error estimate ap plies uniformly over the entire problem domain. Reliability analysis o f two different error estimates with a model problem and numerical tes t results are reported in this paper. A mathematical model for the rel iability assessment of an 'a posteriori' error estimate through asympt otic exactness is also presented. The reliability of the performance o f two different error estimates is assessed by adaptively solving a li near boundary value problem.