A　combination　of　algebraic　multigrid　method　(AMG)　and　adaptive　mesh　refinement　is　presented　in　this　paper　to　solve　large-scale　electromagnetic　field　problems.　The　oscillatory　smooth　error　(the　error　not　eliminated　by　the　smoother)　by　the　classical　AMG　method　could　be　efficiently　reduced　by　replacing　the　virtual　coarse　and　fine　grid　of　classical　AMG　method　with　the　real　coarse　and　refined　mesh　of　adaptive　mesh　refinement　and　accordingly,　the　prolongation　mapping　the　coarse　to　fine　grid　and　restriction　mapping　the　fine　to　coarse　grid　are　established　basing　on　the　relationship　between　the　coarse　mesh　and　refined　mesh.　©　2010　IEEE.