Pashkovs'ka O. Numerical realisation of the LIDE method (the method of reduction to the system of linear integral and diferential equations) for the Puasson equation

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0499U001305

Applicant for

Specialization

  • 01.01.07 - Обчислювальна математика

04-06-1999

Specialized Academic Board

Д 26.194.01

Essay

This thesis is dedicated to working out the finite element numerical realisation of bringing to the LIDE system method. The metod of making approximate solution of border problem of the elliptical type for two dimensional fields of complex form and three dimensional fields are worked out here. They are based on using high exact formules of the interlination and interfletation. The new interlination formules are deduced and their error are estimated. That makes this method useful to solve problems of larger diapason. The introduction of vector-units is proposed with the generation of the network and thy system of their encoding in worced out and that enereases considerably the efficiency of numerical method of (LAES) solution to what the border problem comes.

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