12 citations · 32 across the 11 of their papers we have counts for
12 papers
Reconstructing wind fields from gravitational data on gas giants: An investigation of mathematical methods
Tim-Jonas Peter, Volker Michel, Franz-Theo Suttmeier +1
The atmospheric structure of gas giants, especially those of Jupiter and Saturn, has been an object of scientific studies for a long time. The measurement of the gravitational fiel…
Decorrelation of Poroelastic Data via Multiscale Mollifiers Wavelets
Bianca Kretz, Willi Freeden, Volker Michel
Poroelasticity can be classified with geophysics and describes the interaction between solids deformation and the pore pressure in a porous medium. The investigation of this effect…
A matching pursuit approach to the geophysical inverse problem of seismic travel time tomography under the ray theory approximation
Naomi Schneider, Volker Michel, Karin Sigloch +1
Seismic travel time tomography is a geophysical imaging method to infer the 3-D interior structure of the solid Earth. Most commonly formulated as a linear(ized) inverse problem, i…
High-dimensional experiments for the downward continuation using the LRFMP algorithm
Naomi Schneider, Volker Michel, Nico Sneeuw
Time-dependent gravity data from satellite missions like GRACE-FO reveal mass redistribution in the system Earth at various time scales: long-term climate change signals, inter-ann…
A Unified Approach to Scalar, Vector, and Tensor Slepian Functions on the Sphere and Their Construction by a Commuting Operator
Volker Michel, Alain Plattner, Katrin Seibert
We present a unified approach for constructing Slepian functions - also known as prolate spheroidal wave functions - on the sphere for arbitrary tensor ranks including scalar, vect…
A dictionary learning add-on for spherical downward continuation
Naomi Schneider, Volker Michel
We propose a novel dictionary learning add-on for existing approximation algorithms for spherical inverse problems such as the downward continuation of the gravitational potential.…
A first approach to learning a best basis for gravitational field modelling
Volker Michel, Naomi Schneider
Gravitational field modelling is an important tool for inferring past and present dynamic processes of the Earth. Functions on the sphere such as the gravitational potential are us…
A General Approach to Regularizing Inverse Problems with Regional Data using Slepian Wavelets
Volker Michel, Frederik J. Simons
Slepian functions are orthogonal function systems that live on subdomains (for example, geographical regions on the Earth's surface, or bandlimited portions of the entire spectrum)…
Vectorial Slepian Functions on the Ball
Volker Michel, Sarah Orzlowski, Naomi Schneider
Due to the uncertainty principle, a function cannot be simultaneously limited in space as well as in frequency. The idea of Slepian functions in general is to find functions that a…
On the Convergence Theorem for the Regularized Functional Matching Pursuit (RFMP) Algorithm
Prof. Dr. Volker Michel, Sarah Orzlowski
The RFMP is an iterative regularization method for a class of linear inverse problems. It has proved to be applicable to problems which occur, for example, in the geosciences. In t…
Study on parameter choice methods for the RFMP with respect to downward continuation
Martin Gutting, Bianca Kretz, Volker Michel +1
Recently, the regularized functional matching pursuit (RFMP) was introduced as a greedy algorithm for linear ill-posed inverse problems. This algorithm incorporates the Tikhonov-Ph…
Three-dimensional simulation of nonwoven fabrics using a greedy approximation of the distribution of fiber directions
Simone Gramsch, Max Kontak, Volker Michel
An elementary algorithm is used to simulate the industrial production of a fiber of a 3-dimensional nonwoven fabric. The algorithm simulates the fiber as a polyline where the direc…