Schwarz-Christoffel analysis of polygonal linear material objects
- Resource Type
- Conference
- Authors
- Huijer, Ernst; Malkoun, Joseph
- Source
- 2023 Fifth International Conference on Advances in Computational Tools for Engineering Applications (ACTEA) Advances in Computational Tools for Engineering Applications (ACTEA), 2023 Fifth International Conference on. :146-151 Jul, 2023
- Subject
- Bioengineering
Communication, Networking and Broadcast Technologies
Components, Circuits, Devices and Systems
Computing and Processing
Engineered Materials, Dielectrics and Plasmas
Engineering Profession
General Topics for Engineers
Geoscience
Power, Energy and Industry Applications
Robotics and Control Systems
Signal Processing and Analysis
Transportation
Magnetic flux
Magnetostatics
Shape
Magnetization
Dielectric materials
Magnetic domains
Boundary conditions
linear materials
magnetostatics
electrostatics
finite permeability
finite permittivity
finite conductivity
complex analysis
Schwarz-Christoffel mapping
numerical methods
- Language
In this short note, we explain a complex-analytic numerical algorithm using the Schwarz-Christoffel mapping, for estimating the fields in physical objects of a linear material with polygonal boundary and finite constitutive parameter inside an applied field, by numerically solving the corresponding matching conditions. Examples of such linear materials are linear magnetic or dielectric materials and conductive materials. The formalism of linear magnetic problems is used to develop the methodology.