
A Combined Source Integral Equation with Weak Form Combined Source Condition
A combined source integral equation (CSIE) is constructed on the basis o...
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Manufactured Solutions for the MethodofMoments Implementation of the ElectricField Integral Equation
Though the methodofmoments implementation of the electricfield integr...
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Improved Discretization of the Full FirstOrder Magnetic Field Integral Equation
The inaccuracy of the classical magnetic field integral equation (MFIE) ...
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CodeVerification Techniques for the MethodofMoments Implementation of the ElectricField Integral Equation
The methodofmoments implementation of the electricfield integral equa...
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Trefftz Functions for Nonlocal Electrostatics
Electrostatic interactions in solvents play a major role in biophysical ...
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A Fast Tree Algorithm for Electric Field Calculation in Electrical Discharge Simulations
The simulation of electrical discharges has been attracting a great deal...
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A WeakForm Combined Source Integral Equation with Explicit Inversion of the CombinedSource Condition
The combined source integral equation (CSIE) for the electric field on t...
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A Numerical Comparison of an Isogeometric and a Classical HigherOrder Approach to the Electric Field Integral Equation
In this paper, we advocate a novel splinebased isogeometric approach for boundary elements and its efficient implementation. We compare solutions obtained by both an isogeometric approach, and a classical parametric higherorder approach via RaviartThomas elements to the solution of the electric field integral equation; i.e., the solution to an electromagnetic scattering problem, promising high convergence orders w.r.t. pointwise error. We discuss both, the obtained accuracy per DOF, as well as the effort required to solve the corresponding system iteratively, on three numerical examples of varying complexity.
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