Analytically grounded full-wave methods for advances in computational electromagnetics.

Area of Science:

• Computational Electromagnetics
• Numerical Analysis

Background:

• Traditional numerical methods in computational electromagnetics often lack guaranteed convergence, necessitating post-validation.
• Achieving high accuracy with existing methods can be computationally expensive and time-consuming.

Purpose of the Study:

• To present a collection of research on analytically grounded full-wave methods.
• To highlight the advantages of these methods in terms of convergence, accuracy, and computational efficiency.

Main Methods:

• Development and application of analytically grounded full-wave methods.
• Focus on methods with mathematically guaranteed convergence properties.
• Discretization and truncation of governing equations with increasing order.

Main Results:

• Demonstration of guaranteed convergence, where solutions approach the exact solution with higher truncation order.
• Attainment of highly accurate solutions at a low computational cost.
• Enabling real-time, precise parametric analysis of complex structures and phenomena.

Conclusions:

• Analytically grounded full-wave methods provide trusted physical results without false effects.
• These methods eliminate the need for post-validation due to guaranteed convergence.
• The methods serve as a valuable reference for validating general-purpose commercial software in electromagnetics.