Basing　on　the　posteriori　error　estimation　and　Superconvergent　Patch　Recovery　(SPR)　technology,　Elena　Zhelezina　proposed　a　fast　adaptive　mesh　refinement　strategy　which　can　generate　the　refined　mesh　for　the　required　accuracy　with　only　one　step　of　refinement.　However,　the　strategy　generates　too　many　elements　in　PPFDs　which　is　unpractical　to　simulate　the　PCBs　and　IC　packages　with　complicated　multiple　layers,　where　the　electromagnetic　field　in　PPFDs　is　calculated,　since　too　many　elements　lead　to　the　FEM　sparse　matrices　can＇t　be　solved　on　current　machines　because　of　inefficient　memory.　In　this　paper,　a　new　formula　to　estimate　the　global　error　is　introduced,　and　then,　a　new　strategy　to　calculate　every　element＇s　refinement　degree　is　presented.　Results　show　that　the　improved　method　generates　less　than　half　of　elements　comparing　to　Elena　Zhelezina＇s　method,　but　still　requires　only　one　step　refinement.　This　mesh　refinement　strategy　was　successfully　applied　to　calculate　the　electromagnetic　field　in　PPFDs　for　simulating　the　PCBs　and　IC　packages　with　high　accuracy.