Contribution to Integral Equation Techniques for Solving Electromagnetic Problems

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We present a simple and versatile approach to test the accuracy of scattering calculations. Based on the Lorentz reciprocity relation, this criterion can be used for any scattering object, especially where a reference solution (e.g. from Mie theory) does n ...

We study continuous-domain linear inverse problems that involve a general data-fidelity term and a regularisation term. We consider a regularisation that is formed by the sparsity-promoting total-variation norm, pre-composed with a differential operator th ...

We set up an effective field theory formulation for the renormalization flow of matrix product states (MPS) with finite bond dimension, focusing on systems exhibiting finite-entanglement scaling close to a conformally invariant critical fixed point. We sho ...

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This work is concerned with the computation of the action of a matrix function f(A), such as the matrix exponential or the matrix square root, on a vector b. For a general matrix A, this can be done by computing the compression of A onto a suitable Krylov ...

In algorithms for solving optimization problems constrained to a smooth manifold, retractions are a well-established tool to ensure that the iterates stay on the manifold. More recently, it has been demonstrated that retractions are a useful concept for ot ...

Time-domain solutions of Maxwell’s equations in homogeneous and isotropic media are paramount to studying transient or broadband phenomena. However, analytical solutions are generally unavailable for practical applications, while numerical solutions are co ...

In this thesis we will present and analyze randomized algorithms for numerical linear algebra problems. An important theme in this thesis is randomized low-rank approximation. In particular, we will study randomized low-rank approximation of matrix functio ...

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Predicting the evolution of systems with spatio-temporal dynamics in response to external stimuli is essential for scientific progress. Traditional equations-based approaches leverage first principles through the numerical approximation of differential equ ...

This paper presents the new 2D electrostatic particle -in -cell code FENNECS developed to study the formation of magnetized non -neutral plasmas in geometries with azimuthal symmetry. This code has been developed in the domain of gyrotron electron gun desi ...

For a high-dimensional problem, a randomized Gram-Schmidt (RGS) algorithm is beneficial in terms of both computational cost and numerical stability. We apply this dimension reduction technique by random sketching to Krylov subspace methods, e.g., to the ge ...

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The method of moments (MOM), as introduced by Roger F. Harrington more than 50 years ago, is reviewed in the context of the classic potential integral equation (IE) formulations applied to both electrostatic (part 1) and electrodynamic or full-wave problem ...

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Contribution to Integral Equation Techniques for Solving Electromagnetic Problems

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Testing the accuracy and convergence of scattering calculations using Lorentz reciprocity

Convergence analysis of the discretization of continuous-domain inverse problems

Self-congruent point in critical matrix product states: An effective field theory for finite-entanglement scaling

Numerical Analysis of Non-Insulated DEMO TF Coils

SPEEDING UP KRYLOV SUBSPACE METHODS FOR COMPUTING f(A)b VIA RANDOMIZATION

From low-rank retractions to dynamical low-rank approximation and back

The time-domain Cartesian multipole expansion of electromagnetic fields

Randomized low-rank approximation and its applications

Positivity bounds on electromagnetic properties of media

Learning the intrinsic dynamics of spatio-temporal processes through Latent Dynamics Networks

FENNECS: a novel particle-in-cell code for simulating the formation of magnetized non-neutral plasmas trapped by electrodes of complex geometries

Randomized flexible GMRES with deflated restarting

Adaptive Finite Elements with Large Aspect Ratio. Application to Aluminium Electrolysis

High-order geometric integrators for the variational Gaussian wavepacket dynamics and application to vibronic spectra at finite temperature

Error assessment of an adaptive finite elements-neural networks method for an elliptic parametric PDE

Pseudo-Three-Dimensional Analytical Model of Linear Induction Motors for High-Speed Applications

Roger F. Harrington and the Method of Moments: Part 2: Electrodynamics

Aerodynamic modeling of a delta-wing UAV for model-based navigation

SPACE-TIME REDUCED BASIS METHODS FOR PARAMETRIZED UNSTEADY STOKES EQUATIONS

Modelling of energetic particle drive and damping effects on TAEs in AUG experiment with ECCD