Muzychuk Y. Numerical solution of boundary value problems for some infinite triangular systems of elliptic equations

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0415U005154

Thesis Registration Form

0415U005154.pdf

Applicant for

Muzychuk Yuriy Anatoliyovych

Specialization

01.01.07 - Обчислювальна математика

Date of defense

26-06-2015

Specialized Academic Board

К 35.051.07

Essay

The Dirichlet, Neumann and Robin boundary value problems for infinite triangular systems of elliptic equations are investigated. The formulated boundary value problems are reduced to the equivalent sequences of boundary integral equations which unique solvability is established in Sobolev spaces. For the numerical solution a boundary element method is developed. The existence and the uniqueness of the numerical solution are proven as well as its convergence to the exact solution.

Thesis supervisor

Chapko Roman Stepanovych

Official opponents

Солодкий Сергій Григорович
Кутнів Мирослав Володимирович

Files

aref.doc

dis.pdf

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