The fictitious domain method and homotopy as a new alternative for multidimensional partial differential equations in domains of any shape

• Date: 2020
• Main Authors: V.L. Makarov, Gavrilyuk, I. P., В. Л. Макаров, Гаврилюк, И. П., Гаврилюк, І. П.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2020
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1101
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.9; 519.63 The ideas of the fictitious domain method and homotopy are combined with an aim to reduce the solution of boundary-value problems for multidimensional partial differential equations (PDE) in domains of any shape to an exponentially convergent sequence of PDEs in a parallelepiped (i...