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2.Numericalproblemanalysis
Marking:
Anequationisobtained:
Equation(2.14)savedinthegeneralmatrixform:
(2.23)
(2.24)
(2.25)
where:h(e)elementmatrix.
Forthetriangularelementi,thej-thelementofthestatematrixcanbedescribed
bytheformula
However,foraquadrilateralelement,theequationtakestheform:
(2.26)
(2.27)
Thestatematrixissymmetricalaboutthemaindiagonal.Thefollowingequationis
introducedfortheentirearea:
(2.28)
where
.
Thesummationiscarriedoutafterallelements.Afterthematrixisassembled,
therearealargesetofequationswithadimensionn×n.Intheanalysedtask,the
boundaryconditionsofDirichletandNeumanwereintroduced.Theintroduction
oftheDirichletboundaryconditionsconsistedofeliminatingfromthesystemthe
equationsHu=0ofthesenodepotentialsforwhichthevalueisknown.
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