International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Call for Papers | Fully Refereed | Open Access | Double Blind Peer Reviewed

ISSN: 2319-7064


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Research Paper | Mechanics Science | Russia | Volume 9 Issue 1, January 2020 | Popularity: 6.4 / 10


     

Computational Algorithms for the Trefftz Method

Mashukov V.I.


Abstract: The article suggests methodological approaches to the formation of constraints in mathematical physics problems and algorithms for the numerical solution of these problems. The ideas underlying the methodological approaches and computational algorithms overlap with the ideas of Trefftz method, boundary element methods and methods of boundary integral equations. This is natural, because I began to solve applied problems using these approaches. I knew well the strengths and weaknesses of these methods. Therefore, I conducted research in order to increase the efficiency and accuracy of these methods.


Keywords: Constraints problems, fictitious canonical domains, boundary elements, fictitious canonical domains, boundary integral equations, linear combinations algorithm, boundary condition problems


Edition: Volume 9 Issue 1, January 2020


Pages: 1628 - 1632




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Mashukov V.I., "Computational Algorithms for the Trefftz Method", International Journal of Science and Research (IJSR), Volume 9 Issue 1, January 2020, pp. 1628-1632, https://www.ijsr.net/getabstract.php?paperid=ART20202660