Manufactured solutions for the method-of-moments implementation of the electric-field integral equation

DOI10.1016/j.jcp.2021.110538OpenAlexW3110722441MaRDI QIDQ2132623

William A. Johnson, Brian A. Freno, Neil R. Matula

Publication date: 28 April 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.08681

zbMATH Keywords

method of momentscode verificationmanufactured solutionselectric-field integral equation

Mathematics Subject Classification ID

Basic methods for problems in optics and electromagnetic theory (78Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) General topics in optics and electromagnetic theory (78Axx)

Related Items (5)

Code-verification techniques for the method-of-moments implementation of the electric-field integral equation ⋮ Nonintrusive manufactured solutions for non-decomposing ablation in two dimensions ⋮ Code-verification techniques for the method-of-moments implementation of the combined-field integral equation ⋮ Code-verification techniques for the method-of-moments implementation of the magnetic-field integral equation ⋮ Code verification for practically singular equations

Cites Work

• Code verification for finite volume multiphase scalar equations using the method of manufactured solutions
• Use of the method of manufactured solutions for the verification of conjugate heat transfer solvers
• Review of code and solution verification procedures for computational simulation
• Code-verification techniques for hypersonic reacting flows in thermochemical nonequilibrium
• Symmetric triangle quadrature rules for arbitrary functions
• Characterization and integration of the singular test integrals in the method-of-moments implementation of the electric-field integral equation
• On a refinement-free Calderón multiplicative preconditioner for the electric field integral equation
• On code verification of RANS solvers
• Moderate Degree Symmetric Quadrature Rules for the Triangle
• Verification of Euler/Navier–Stokes codes using the method of manufactured solutions
• Optimized Numerical Evaluation of Singular and Near-Singular Potential Integrals Involving Junction Basis Functions
• Numerical Evaluation via Singularity Cancellation Schemes of Near-Singular Integrals Involving the Gradient of Helmholtz-Type Potentials
• DIRECTFN: Fully Numerical Algorithms for High Precision Computation of Singular Integrals in Galerkin SIE Methods
• A Family of Augmented Duffy Transformations for Near-Singularity Cancellation Quadrature
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