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Blessing, Lea

Lea Blessing

M.Sc.

Research Assistant
Institute of Applied Analysis and Numerical Simulation
Research Group Computational Methods for Uncertainty Quantification

Contact

+49 711 685 61717
Email

Allmandring 5b
70569 Stuttgart
Deutschland
Room: 1.36

Office Hours

TBA

Subject

Bayesian Inverse Problems
Porous Media
Uncertainty Quantification

Publications

L. Blessing and A. Barth, “An Inverse Boundary Value Problem for the Porous Medium Equation: Numerical Methods,” GAMM Archive for Students, vol. 7, Art. no. 1, Dec. 2025, doi: 10.14464/gammas.v7i1.907.
- BibTeX
- Link
BibTeX
@article{Blessing_Barth_2025, abstractnote = {&lt;p&gt;Inverse boundary value problems aim to infer a material&#039;s properties from boundary measurements. This article addresses an inverse problem for the porous medium equation, focusing on determining two coefficients characterizing the medium&#039;s diffusivity and porosity. As this problem has mainly been discussed in theory, a main contribution is the development of efficient numerical approaches for solving this problem. Based on the Dirichlet-to-Neumann map&#039;s injectivity, the diffusion coefficient&#039;s inversion can be related to the Calder\&#039;on problem, leveraging its favorable properties. A key advantage of the proposed method is the decoupled inversion approach: After inferring the diffusion coefficient, the original problem only has to be solved for the porosity coefficient which can be done using a Bayesian inversion approach. This article lays the foundation for developing numerical methods solving the considered problem, highlighting the benefits of the decoupled strategy. Numerical frameworks are established for both the classical and Bayesian inversion of the diffusion coefficient. In the classical setting, noise-free measurements lead to a well-posed inverse problem. For noisy data, the Bayesian inversion maintains the problem&#039;s well-posedness.&lt;/p&gt;}, author = {Blessing, Lea and Barth, Andrea}, doi = {10.14464/gammas.v7i1.907}, journal = {GAMM Archive for Students}, month = {12}, number = 1, title = {An Inverse Boundary Value Problem for the Porous Medium Equation: Numerical Methods}, url = {https://www.bibliothek.tu-chemnitz.de/ojs/index.php/GAMMAS/article/view/907}, volume = 7, year = 2025 }
Link
https://www.bibliothek.tu-chemnitz.de/ojs/index.php/GAMMAS/article/view/907

Teaching

Winter term 2025/2026	Numerical Analysis of SPDEs
Summer term 2025	Advanced Numerics of PDEs

Vita

Since May 2025	University of Stuttgart Department of Mathematics	PhD-student at the Institute of Applied Analysis and Numerical Simulation, University of Stuttgart Advisor: Prof. Dr. Andrea Barth
2022-2025	University of Stuttgart, Stuttgart Center for Simulation Science	Master of Science in Simulation Technology Thesis: An Inverse Boundary Value Problem for the Porous Medium Equation - Theory and Numerical Methods Advisor: Prof. Dr. Andrea Barth
2022-2025	University of Stuttgart	Student Assistant at the Institute of Applied Analysis and Numerical Simulation
2018-2022	University of Stuttgart Stuttgart Center for Simulation Science	Bachelor of Science in Simulation Technology Thesis: Regularization Techniques for Full Waveform Inversion in Geophysical Imaging Advisor: Prof. Dr. Dominik Göddeke
2020-2022	University of Stuttgart	Student Assistant at the Institute of Applied Analysis and Numerical Simulation and the Department of Hydromechanics and Modelling of Hydrosystems

Awards and Distinctions

2025	IC SimTech e. V. Award “Herausragende Arbeit” for an outstanding Master’s thesis within the Cluster of Excellence EXC 2075 Data-Integrated Simulation Science.
2021-2025	Scholarship from the German Academic Scholarship Foundation

Lea Blessing

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BibTeX

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Teaching

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Lea Blessing

Contact

Office Hours

Subject

Publications

BibTeX

Link

Teaching

Vita

Awards and Distinctions

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Audience

Formalities

Services

Organization