地下水模擬中的最小二乘配點(diǎn)法.pdf

1、遼寧師范大學(xué)碩士學(xué)位論文地下水模擬中的最小二乘配點(diǎn)法姓名：李靜申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：應(yīng)用數(shù)學(xué)指導(dǎo)教師：周德亮201204地下水模擬中的最小二乘配點(diǎn)法TheLeast—squareCollocationMeshlessMethodintheGroundwaterSimulationAbstraotAlthoughmeshlessmethodhasiuststarted，ithasbecomethefocusofscientificres

2、earchesathomeandabroadThankstonotrelyingongridstherearelessdif!ficultiesoutofgriddistortionBytakinginfommtionofnodesonly，itiseasiertoanalyzecomplexthreedimensionalpatternswithoutthehelpofgridinformationTheradialbasisfunc

3、tion，asakindofmeshlessmethodisawayofworkingoutapproximatefunctionbytakingtheradialfunctionasthebasicfunctionCollocationMeshlessme也odwithradialbasisisanewkindofnumericalsimulationmethodandtherearefewreportsaboutitintheapp

4、licationofhydrologicalgeologyathomeandabroadByanalyzingtheleastsqe【aremethodfordealingwithdifferentialequations，thispapersolvethebasicwayofusingthecollocationmethodforRadialbasisfunctiontoformfunctions，startingfromthecol

5、locationmethodandradialpointinterpolationshapefunctionpoint，Withitasthebasic，wehavedrawntheformulasfortwo—dimensionalproblemsbyusingtheleastsquaremethodformedtheleastsquarecollocationmethodofmeshlessmethodforgroundwatert

6、wodimensionalsteadyflowandunsteadyflow，explainedthederivingformulasofworkingouttwodimensionalsteadyflowandunsteadyflowbyusingtheleastsquaremethod，andgivenoutthesolvingprocessaboutworkingwiththehelpoftheleastsquaremethodA

7、ndbasedonit，we’vedrawnthecorrespondingflowchartofprogramstructureInthisPaper，the1eastsquarecollocationmethodwasusedinthetwodimensionalsteadyflowandunsteadygroundwaterflowproblemsheadcalculation，andtherearesatisfactoryres

8、ultsbyusingMatlablanguageprogrammeTheresultofexampleshasbeenpresentedbychartsmoreintuitively，AndtheresultsshowtherearebettercalculationresultsintheleastsquarecollocationMeshlessMethodratherthanMeshlessmethod謝也Itshowst11a

9、ttheleastsquarecollocationmethodnotonlyCanimprovethecalculationaccuracybutalsohasstrongadaptabilityItcanprovideareferencefortheengineeringdesignofgroundwaterinEngineeringMechanicsT11ispaperhasgivenoutdetailedcalculationp

10、rocessesfortheleastsquarecollocationmethodtosolvethedifferentialequationameshlesslocalradialpointinterpolationmethod’SresultsTheprojectinthispaperwillpromotethedevelopmentandresearchofthemeshlessmethodbystudyingthecolloc