Methods for solution of boundary value problems in domains with disconnected boundaries
Sergey D. Traytak
TL;DR
This paper reviews analytical methods for solving boundary value problems related to diffusion in media with multiple non-overlapping inclusions, providing insights into existing approaches for complex domain geometries.
Contribution
It offers a comprehensive review of analytical techniques applicable to diffusion problems in media with disconnected boundaries, highlighting their advantages and limitations.
Findings
Summarizes key analytical methods for complex domains
Identifies challenges in boundary value problems with inclusions
Provides guidance on method selection for diffusion problems
Abstract
We present here a review of existing analytical methods to solve boundary value problems of diffusion in media containing N non-overlapping inclusions.
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Geotechnical and Geomechanical Engineering · Composite Material Mechanics