简介：Aclassofnormal-likederivativesforfunctionswithlowregularitydefinedonLipschitzdomainsareintroducedandstudied.Itisshownthatthenewnormal-likederivatives,whicharecalledthegeneralizednormalderivatives,preservethemajorprop-ertiesoftheexistingstandardnormalderivatives.Thegeneralizednormalderivativesarethenappliedtoanalyzetheconvergenceofdomaindecompositionmethods(DDMs)withnonmatchinggridsanddiscontinuousGalerkin(DG)methodsforsecond-orderel-lipticproblems.Theapproximatesolutionsgeneratedbythesemethodsstillpossesstheoptimalenergy-normerrorestimates,eveniftheexactsolutionstotheunderlyingellipticproblemsadmitverylowregularities.
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