Title :
A new universal numerical technique for the solution of boundary integral equations
Author_Institution :
Dept. of Electr. & Comput. Eng., Maryland Univ., College Park, MD
fDate :
3/1/2002 12:00:00 AM
Abstract :
A new numerical technique for the solution of boundary integral equations is presented, This technique leads to uniquely solvable discretized equations of any mesh and its convergence and rate of convergence do not depend on singularities of kernels of integral equations or boundary geometries, In this sense, this technique is universal. The unique solvability of discretized equations, convergence, and the rate of convergence of the numerical technique are established under only one natural condition of unique solvability of boundary integral equations for any right-hand side
Keywords :
boundary integral equations; convergence of numerical methods; electromagnetic fields; mesh generation; EM field analysis; boundary integral equations; mesh; rate of convergence; solvability; uniquely solvable discretized equations; universal numerical technique; Convergence of numerical methods; Electromagnetic analysis; Electromagnetic fields; Geometry; Integral equations; Kernel; Power engineering and energy; Robustness; Symmetric matrices; Vectors;
Journal_Title :
Magnetics, IEEE Transactions on