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Accelerated iterative solvers for the solution of electromagnetic scattering and wave propagation problems

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Accelerated iterative solvers for the solution of electromagnetic scattering and wave propagation problems

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  • Declaration

    • Contents

    • Acronyms

    • Abstract

    • 1 Introduction

      • 1.1 Contribution

      • 1.2 Notation

      • 2 Method of moments for numerical solution of Maxwell equations

        • 2.1 Differential form of Maxwell equations

        • 2.2 Time-harmonic form of Maxwell equations

        • 2.3 Auxiliary vector potentials

          • 2.3.1 Magnetic vector potential

          • 2.3.2 Electric vector potential

          • 2.4 Volume electric field integral equation

            • 2.4.1 Volume equivalence principle

            • 2.4.2 Volume integral equations

            • 2.5 Surface integral equations

              • 2.5.1 Boundary conditions

              • 2.5.2 Surface equivalence principle

              • 2.5.3 Surface integral equations

              • 2.6 Method of moments

              • 2.7 Conclusion

              • 3 Iterative methods for the solution of linear systems

                • 3.1 Introduction

                • 3.2 Krylov subspace iterative methods

                  • 3.2.1 Arnoldi iteration

                  • 3.2.2 Conjugate gradient method

                  • 3.2.3 Biconjugate gradient method

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