地下水模擬中的最小二乘配點法.pdf

1、遼寧師范大學碩士學位論文地下水模擬中的最小二乘配點法姓名：李靜申請學位級別：碩士專業(yè)：應用數學指導教師：周德亮201204地下水模擬中的最小二乘配點法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