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1、JEftjGalerkinIIM•-r1±tj±*lEE,±it200072;2±it200072Email:ymcheng@shu.edu.cn;ymcheng@sh163.net[&tHM:2010-10-12;WHM:2010-11-22;±ijQHM:2011-02-15kWttTFJW1JAfl(fr:09ZZ99)f*i10871124,11026223)*U±*ftGalerkinfl.flTflt*’L*W*IifltLibti’Jz**)ThJM*IJGalerkinflflfl’JH,*Ltflfl1T4LagrangeT*ItflLibGalerkinfl,tMTti±
2、%’,kTNewton-Raphsont1.ILIJtfl,Galerkinfl,*i102.60.Lj,O2.9O.+p,46.15.-xYJii1E1EtIJzfl,L4LjbGalerkinfl,RIL-ib±JPACS:E1TLtL7JøN34ILuttJL1t±UE*ZMJ*4ZT5Hutg,E)cJF,F,,-{*1U±,**Tk4.ThE)tit,flJtMflIfriGalerkin}T(Element-FreeGalerkinMethod,EFG)31(ReproducingKernelParticleMethod,RKPM)41ftJtJ1W±J*ffl*t±t.±$*,
3、tfttt*Hp-cloudsE4R(FinitePoinT$hM,ffltItfltMethod,FPM)6’7L,E4,JEPetrov-Galerkin}P.t(MeshlessLocalPetrov-GalerkinMethod,MLPG)81JL1±Jfl.122TL1II3J43PCM)91(MeshlessPointCollocationMethod(WaveletParticleMethod/t’flz**iGa1erkinJ.+L:DJfl)7fl,2O11,41:1OO3-1O14It:fl.LiDM,PengMJ,ChengYM.Thecomplexvariableel
4、ement-freeGalerkin(CVEFG)methodforelasticlargedeformationproblems(inChinese).SciSinPhysMechAstron,2011,41:1003—1014,doi:10.1360/132010-978WPM)’°1Method,MFEM)°’L,7AL’7’8Ri(MeshlessFiniteElement4;[12-16]Newton-RaphsonI,GalerkinIET*.Galerkin-[25,26]TflA,Ifr$*ffl±)cJJ.ChenK274t*iifflti±u1±)cJNE,LiuK28’
5、29T±LiewA301ittT2iJZ**b*+zflflMVTUflf**b*+z4,LiewS1adek31ThttIJF½HJ1JEA[32]4IGalerkinJZffltftiktdZtJt1,Hanr(z)==p,(z).a(z)=(z=ai+ix2eQXJE4,iEPetrov-GalerkinNaffaA34MTiagoJcJtE,LiewtIl(1)a(z)MUI4fljiIEiGalerkinJZfflfW.A361UIflflm%#cflgtp,(z)flfl,-yigPetrov-GalerkinpT=(p1(z),p2(z),•••,aT=(a1(z),a2(z)
6、,•••,a_(z)).(2)(3)JZJ4tftLfl*ltfl.MW,*+ZtkMFXt$iflP=(laX(4)ecnciaepi’ng*tnn,nt—Augt*tfltfl,flflf**b(5)i=(1z1).#4zWJflPiWRflflx,**t,Adl2ltHTfltfl**b*+tfl.flfl*b*+zflttT-it4(z,fl=p,(fl.%(z)=p(fl•a(z),(6)T**M*flitAAW*fl*t.tt*n’jfla(z)#Ci(z)WRfl1fl*+.•zflflgMflflfl,AUffltk,afflt*+zflt#flWfl**fl.fl*A’*
7、Adl6lflffl45ainhf*ê.flW&4tM*PdK.*t#*A4QWTr,1(7)=Zv.(z-zz4ZMzz).aM)-I(zz)jflg*fl,z,aflXfl**5oaithinfl*,gaf,nZzM(z-z)%Ai(z1)=u1(z1)+iu2(z1),(8)LagrangeJJGalerkin2O1141J=(Pa-u)TW(z)(Pa-ü),(9)=(i(z1),i(z2),•••J
