An Efficient Spectral Domain Embedding Method for Elliptic PDE's on ۳D Complex Domain
Publish Year: 1400
نوع سند: مقاله کنفرانسی
زبان: English
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شناسه ملی سند علمی:
FMCBC05_043
تاریخ نمایه سازی: 27 بهمن 1400
Abstract:
The aims of this paper, utilize the fictitious domain concept with cuboid embedding to solve elliptic boundary value problems in domains of ۳D complex geometry. Cuboid embedding allows the application of spectral methods in the extended domain to solve elliptic PDE's. Also by finding the Schur complement and Moore-Penrose inverse, the system of block matrices is solved efficiently.Ample numerical examples results are presented to demonstrate the effectiveness of this approach for problems on ۳D complex domains.
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Authors
Maryam Jalili
Department of Mathematics, Neyshabur Branch, Islamic Azad University, Neyshabur, Iran
Sussan Kousari Moghaddam
Department of Mathematics, Faculty of Sciences, Mashhad Branch, Islamic Azad University, Mashhad, Iran