Workgroup on Numerics of PDEs

Univ.Prof. Dipl.-Math. Dr.techn. Dirk Praetorius

Professor of Numerics of PDEs

Phone: +43 1 58801 10150 Call Dirk Praetorius

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Research interests

Our research deals with the development of numerical methods for PDEs, where we mainly consider the finite element method (FEM), the boundary element method (BEM), as well as coupled discretizations. Of recent interest are the analysis of adaptive strategies and, in particular, of the optimal interplay of local mesh-refinement and iterative solvers. Another field of expertise are numerical methods for computational micromagnetics, where we also address analytical questions like well-posedness and strong-weak uniqueness of the arising coupled PDE.

Administration

Brigitte Ecker

Administration office

Phone: +43 1 58801 10117 Call Brigitte Ecker

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Postdocs

Univ.Ass. Dr.techn. Julian Streitberger BSc MSc

Numerics of PDEs (Prof. PRAETORIUS)

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https://www.tuwien.at/mg/asc/numpdes/streitberger , opens an external URL in a new window

PhD students

Projektass.(FWF) Dott.mag. Michele Alde

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Projektass.(FWF) Dipl.-Ing. Alexander Freiszlinger BSc

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Student Assistants

Aleksandar Dadic BSc

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Paula Hilbert BSc

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Recent journal publications (since 2023)

Bringmann, P., Brunner, M., Praetorius, D., & Streitberger, J. (2024). Optimal complexity of goal-oriented adaptive FEM for nonsymmetric linear elliptic PDEs. Journal of Numerical Mathematics. https://doi.org/10.1515/jnma-2023-0150, opens an external URL in a new window
| Optimal complexity of goal-oriented adaptive FEM for nonsymmetric linear elliptic PDEs at reposiTUm , opens an external URL in a new window
Bringmann, P., Carstensen, C., & Streitberger, J. (2024). Local parameter selection in the C⁰ interior penalty method for the biharmonic equation. Journal of Numerical Mathematics, 32(3), 257–273. https://doi.org/10.1515/jnma-2023-0028, opens an external URL in a new window
| Local parameter selection in the C⁰ interior penalty method for the biharmonic equation at reposiTUm , opens an external URL in a new window
Bringmann, P., Miraçi, A., & Praetorius, D. (2024). Chapter Four - Iterative solvers in adaptive FEM: Adaptivity yields quasi-optimal computational runtime. ADVANCES IN APPLIED MECHANICS, 59, 147–212. https://doi.org/10.1016/bs.aams.2024.08.002, opens an external URL in a new window
| Chapter Four - Iterative solvers in adaptive FEM: Adaptivity yields quasi-optimal computational runtime at reposiTUm , opens an external URL in a new window
Innerberger, M., Miraçi, A., Praetorius, D., & Streitberger, J. (2024). hp-robust multigrid solver on locally refined meshes for FEM discretizations of symmetric elliptic PDEs. ESAIM: Mathematical Modelling and Numerical Analysis, 58(1), 247–272. https://doi.org/10.1051/m2an/2023104, opens an external URL in a new window
| hp-robust multigrid solver on locally refined meshes for FEM discretizations of symmetric elliptic PDEs at reposiTUm , opens an external URL in a new window

Helml, V., Innerberger, M., & Praetorius, D. (2023). Plain convergence of goal-oriented adaptive FEM. Computers and Mathematics with Applications, 147, 130–149. https://doi.org/10.1016/j.camwa.2023.07.022, opens an external URL in a new window
| Plain convergence of goal-oriented adaptive FEM at reposiTUm , opens an external URL in a new window
Becker, R., Brunner, M., Innerberger, M., Melenk, J. M., & Praetorius, D. (2023). Cost-optimal adaptive iterative linearized FEM for semilinear elliptic PDEs. ESAIM: Mathematical Modelling and Numerical Analysis, 57(4), 2193–2225. https://doi.org/10.1051/m2an/2023036, opens an external URL in a new window
| Cost-optimal adaptive iterative linearized FEM for semilinear elliptic PDEs at reposiTUm , opens an external URL in a new window
Brunner, M., Innerberger, M., Miraçi, A., Praetorius, D., Streitberger, J., & Heid, P. (2023). Adaptive FEM with quasi-optimal overall cost for nonsymmetric linear elliptic PDEs. IMA Journal of Numerical Analysis, 44(3), 1560–1596. https://doi.org/10.1093/imanum/drad039, opens an external URL in a new window
| Adaptive FEM with quasi-optimal overall cost for nonsymmetric linear elliptic PDEs at reposiTUm , opens an external URL in a new window
Innerberger, M., & Praetorius, D. (2023). MooAFEM: An object oriented Matlab code for higher-order adaptive FEM for (nonlinear) elliptic PDEs. Applied Mathematics and Computation, 442, Article 127731. https://doi.org/10.1016/j.amc.2022.127731, opens an external URL in a new window
| MooAFEM: An object oriented Matlab code for higher-order adaptive FEM for (nonlinear) elliptic PDEs at reposiTUm , opens an external URL in a new window
Bringmann, P. (2023). How to prove optimal convergence rates for adaptive least-squares finite element methods. Journal of Numerical Mathematics, 31(1), 43–58. https://doi.org/10.1515/jnma-2021-0116, opens an external URL in a new window
| How to prove optimal convergence rates for adaptive least-squares finite element methods at reposiTUm , opens an external URL in a new window
Di Fratta, G., Jüngel, A., Praetorius, D., & Slastikov, V. (2023). Spin-diffusion model for micromagnetics in the limit of long times. Journal of Differential Equations, 343, 467–494. https://doi.org/10.1016/j.jde.2022.10.012, opens an external URL in a new window
| Spin-diffusion model for micromagnetics in the limit of long times at reposiTUm , opens an external URL in a new window
Becker, R., Gantner, G., Innerberger, M., & Praetorius, D. (2023). Goal-oriented adaptive finite element methods with optimal computational complexity. Numerische Mathematik, 153, 111–140. https://doi.org/10.1007/s00211-022-01334-8, opens an external URL in a new window
| Goal-oriented adaptive finite element methods with optimal computational complexity at reposiTUm , opens an external URL in a new window
Di Fratta, G., Pfeiler, C.-M., Praetorius, D., & Ruggeri, M. (2023). The Mass-Lumped Midpoint Scheme for Computational Micromagnetics: Newton Linearization and Application to Magnetic Skyrmion Dynamics. Computational Methods in Applied Mathematics, 23(1), 145–175. https://doi.org/10.1515/cmam-2022-0060, opens an external URL in a new window
| The Mass-Lumped Midpoint Scheme for Computational Micromagnetics: Newton Linearization and Application to Magnetic Skyrmion Dynamics at reposiTUm , opens an external URL in a new window

Current Preprints (since 2023)

Bringmann, P., Miraci, A., & Praetorius, D. (2024). Iterative Solvers in Adaptive FEM: Adaptivity Yields Quasi-Optimal Computational Runtime. arXiv. https://doi.org/10.48550/arXiv.2404.07126, opens an external URL in a new window
| Iterative Solvers in Adaptive FEM: Adaptivity Yields Quasi-Optimal Computational Runtime at reposiTUm , opens an external URL in a new window
Bringmann, P., Feischl, M., Miraci, A., Praetorius, D., & Streitberger, J. (2024). On full linear convergence and optimal complexity of adaptive FEM with inexact solver. arXiv. https://doi.org/10.48550/arXiv.2311.15738, opens an external URL in a new window
| On full linear convergence and optimal complexity of adaptive FEM with inexact solver at reposiTUm , opens an external URL in a new window
Miraci, A., Praetorius, D., & Streitberger, J. (2024). Parameter-robust full linear convergence and optimal complexity of adaptive iteratively linearized FEM for nonlinear PDEs. arXiv. https://doi.org/10.48550/arXiv.2401.17778, opens an external URL in a new window
| Parameter-robust full linear convergence and optimal complexity of adaptive iteratively linearized FEM for nonlinear PDEs at reposiTUm , opens an external URL in a new window
Brunner, M., Praetorius, D., & Streitberger, J. (2024). Cost-optimal adaptive FEM with linearization and algebraic solver for semilinear elliptic PDEs. arXiv. https://doi.org/10.48550/arXiv.2401.06486, opens an external URL in a new window
| Cost-optimal adaptive FEM with linearization and algebraic solver for semilinear elliptic PDEs at reposiTUm , opens an external URL in a new window

Bringmann, P., Brunner, M., Praetorius, D., & Streitberger, J. (2023). Optimal complexity of goal-oriented adaptive FEM for nonsymmetric linear elliptic PDEs. arXiv. https://doi.org/10.48550/arXiv.2312.00489, opens an external URL in a new window
| Optimal complexity of goal-oriented adaptive FEM for nonsymmetric linear elliptic PDEs at reposiTUm , opens an external URL in a new window
Bespalov, A., Praetorius, D., & Ruggeri, M. (2023). Goal-oriented adaptivity for multilevel stochastic Galerkin FEM with nonlinear goal functionals. arXiv. https://doi.org/10.48550/arXiv.2208.09388, opens an external URL in a new window
| Goal-oriented adaptivity for multilevel stochastic Galerkin FEM with nonlinear goal functionals at reposiTUm , opens an external URL in a new window

Recent talks (since 2023)

Bringmann, P., Feischl, M., Miraci, A., Praetorius, D., & Streitberger, J. (2024). On full linear convergence and optimal complexity of adaptive FEM with inexact solver. In Chemnitz FE-Symposium 2024 : Programme, Collection of abstracts, List of participants (pp. 52–52).
| On full linear convergence and optimal complexity of adaptive FEM with inexact solver at reposiTUm , opens an external URL in a new window
Bringmann, P., Feischl, M., Miraci, A., Praetorius, D., & Streitberger, J. (2024, August 8). On full linear convergence and optimal complexity of adaptive FEM with inexact solver. 2CCC Workshop on Numerical Analysis 2024, Berlin, Germany.
| On full linear convergence and optimal complexity of adaptive FEM with inexact solver at reposiTUm , opens an external URL in a new window
Praetorius, D., Kurz, S., Pauly, D., Repin, S., Sebastian, D., & Freiszlinger, A. (2024, August 8). Functional a-posteriori error estimates for BEM. 2CCC Workshop on Numerical Analysis 2024, Berlin, Germany.
| Functional a-posteriori error estimates for BEM at reposiTUm , opens an external URL in a new window
Bringmann, P. (2024, June 25). Scaling-robust built-in a posteriori error estimation for discontinuous least-squares finite element methods. Workshop on Minimum Residual & Least-Squares Finite Element Methods (MINRES&LS-FEM 2024), Bilbao, Spain.
| Scaling-robust built-in a posteriori error estimation for discontinuous least-squares finite element methods at reposiTUm , opens an external URL in a new window
Bringmann, P., Brunner, M., Praetorius, D., & Streitberger, J. (2024). Cost-optimal goal-oriented adaptive FEM with nested iterative solvers. In Book of Abstracts: 10th International Conference on Computational Methods in Applied Mathematics (CMAM-10) (pp. 72–72).
| Cost-optimal goal-oriented adaptive FEM with nested iterative solvers at reposiTUm , opens an external URL in a new window
Freiszlinger, A., & Praetorius, D. (2024). Convergence of adaptive multilevel stochastic Galerkin FEM for parametric PDEs. In Book of Abstracts: 10th International Conference on Computational Methods in Applied Mathematics (CMAM-10) (pp. 82–82).
| Convergence of adaptive multilevel stochastic Galerkin FEM for parametric PDEs at reposiTUm , opens an external URL in a new window
Praetorius, D., Bringmann, P., Gantner, G., Miraci, A., & Streitberger, J. (2024). Optimal interplay of adaptive mesh-refinement and iterative solvers for elliptic PDEs. In Book of Abstracts: 10th International Conference on Computational Methods in Applied Mathematics (CMAM-10) (pp. 13–13).
| Optimal interplay of adaptive mesh-refinement and iterative solvers for elliptic PDEs at reposiTUm , opens an external URL in a new window
Bringmann, P. (2024). Scaling-robust built-in a posteriori error estimation for discontinuous least-squares finite element methods. In Book of Abstracts: 10th International Conference on Computational Methods in Applied Mathematics (CMAM-10) (pp. 55–55).
| Scaling-robust built-in a posteriori error estimation for discontinuous least-squares finite element methods at reposiTUm , opens an external URL in a new window
Praetorius, D., Bringmann, P., Gantner, G., Miraci, A., & Streitberger, J. (2024, May 30). Optimal interplay of adaptive mesh-refinement and iterative solvers for elliptic PDEs. JAM Walkshop on Computational PDEs (2024), Jena, Germany.
| Optimal interplay of adaptive mesh-refinement and iterative solvers for elliptic PDEs at reposiTUm , opens an external URL in a new window
Bringmann, P., Feischl, M., Miraci, A., Praetorius, D., & Streitberger, J. (2024). On full linear convergence and optimal complexity of adaptive FEM with inexact solver. In Austrian Numerical Analysis Day 2024, 16– 17 May 2024: Abstracts (pp. 9–9).
| On full linear convergence and optimal complexity of adaptive FEM with inexact solver at reposiTUm , opens an external URL in a new window
Miraci, A., Innerberger, M., Papež, J., Praetorius, D., Streitberger, J., & Vohralik, M. (2024, May 14). Role of hp-Robust Iterative Solvers in Adaptive Finite Element Algorithms for Optimal Complexity. SIAM Conference on Applied Linear Algebra (LA24), Paris, France.
| Role of hp-Robust Iterative Solvers in Adaptive Finite Element Algorithms for Optimal Complexity at reposiTUm , opens an external URL in a new window
Miraci, A. (2024, May 3). Role of hp-robust solvers in optimal complexity of AFEM. Numerical Analysis and Scientific Computing Seminar (2024), Manchester, United Kingdom of Great Britain and Northern Ireland (the).
| Role of hp-robust solvers in optimal complexity of AFEM at reposiTUm , opens an external URL in a new window
Miraci, A. (2024, April 24). Parameter-robust convergence and optimal complexity of AFEM. Seminar in the Framework of the PDE Afternoon (2024), Wien, Austria.
| Parameter-robust convergence and optimal complexity of AFEM at reposiTUm , opens an external URL in a new window
Praetorius, D., Gantner, G., Innerberger, M., Miraci, A., & Streitberger, J. (2024, February 28). Optimal complexity of adaptive FEM for nonlinear PDEs. Numerical Analysis Seminar at the University of Hongkong (2024), Hong Kong, China.
| Optimal complexity of adaptive FEM for nonlinear PDEs at reposiTUm , opens an external URL in a new window

Bringmann, P. (2023, November 16). Scaling-robust built-in a posteriori error estimation for discontinuous least-squares finite element methods. BI.discrete23: Numerical Analysis Workshop, Bielefeld, Germany.
| Scaling-robust built-in a posteriori error estimation for discontinuous least-squares finite element methods at reposiTUm , opens an external URL in a new window
Brunner, M., Becker, R., Innerberger, M., Melenk, J. M., & Praetorius, D. (2023, September 4). Rate-optimal goal-oriented adaptive FEM for semilinear elliptic PDEs. European Conference on Numerical Mathematics and Advanced Applications (ENUMATH 2023), Lissabon, Portugal.
| Rate-optimal goal-oriented adaptive FEM for semilinear elliptic PDEs at reposiTUm , opens an external URL in a new window
Streitberger, J., Bringmann, P., Brunner, M., Miraci, A., & Praetorius, D. (2023, September 4). Cost-optimal goal-oriented adaptive FEM for linear elliptic PDEs. European Conference on Numerical Mathematics and Advanced Applications (ENUMATH 2023), Lissabon, Portugal.
| Cost-optimal goal-oriented adaptive FEM for linear elliptic PDEs at reposiTUm , opens an external URL in a new window
Bringmann, P. (2023, August 31). Least-squares finite element methods - An introduction. Indian Institute of Technology Bombay (IITB): Department of Mathematics Seminar 2023, Mumbai, India.
| Least-squares finite element methods - An introduction at reposiTUm , opens an external URL in a new window
Praetorius, D., Brunner, M., Heid, P., Innerberger, M., Miraci, A., & Streitberger, J. (2023, June 13). Adaptive FEM for linear elliptic PDEs: Optimal complexity. FoCM 2023, Paris, France.
| Adaptive FEM for linear elliptic PDEs: Optimal complexity at reposiTUm , opens an external URL in a new window
Melenk, J. M., Bahr, B., Faustmann, M., Parvizi, M., & Praetorius, D. (2023, June 12). AFEM for the fractional Laplacian. Foundations of Computational Mathematics (FoCM 2023), Paris, France.
| AFEM for the fractional Laplacian at reposiTUm , opens an external URL in a new window
Brunner, M., Praetorius, D., Becker, R., Innerberger, M., & Melenk, J. M. (2023, June 8). Goal-oriented adaptivity for semilinear elliptic PDEs. Jena-Augsburg-Meeting (JAM) on Numerical Analysis, Augsburg, Germany.
| Goal-oriented adaptivity for semilinear elliptic PDEs at reposiTUm , opens an external URL in a new window
Bringmann, P. (2023, May 3). Discontinuous least-squares finite element methods with built-in a posteriori error estimation. Forschungsseminar Numerische Mathematik der Friedrich-Schiller-Universität Jena 2023, Jena, Germany.
| Discontinuous least-squares finite element methods with built-in a posteriori error estimation at reposiTUm , opens an external URL in a new window
Streitberger, J., Brunner, M., Heid, P., Innerberger, M., Miraci, A., & Praetorius, D. (2023, April 27). Adaptive FEM for linear elliptic PDEs: optimal complexity. Austrian Numerical Analysis Day 2023, Wien, Austria.
| Adaptive FEM for linear elliptic PDEs: optimal complexity at reposiTUm , opens an external URL in a new window
Miraci, A., Brunner, M., Heid, P., Innerberger, M., Praetorius, D., & Streitberger, J. (2023, March 22). Adaptive FEM for linear elliptic PDEs: Optimal complexity. Finite Element Workshop 2023, Jena, Germany.
| Adaptive FEM for linear elliptic PDEs: Optimal complexity at reposiTUm , opens an external URL in a new window

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Name	Purpose	Lifetime	Type	Provider
CookieConsent	Saves your settings for the use of cookies on this website.	1 year	HTML	Homepage TU Wien
SimpleSAML	This is needed to distinguish between the sessions of the logged-in users.	session	HTTP	Login TU Wien
SimpleSAMLAuthToken	This is needed to distinguish between the sessions of the logged-in users.	session	HTTP	Login TU Wien
fe_typo_user	Is needed so that in case of a Typo3 frontend login the session ID is recognized to grant access to protected areas.	session	HTTP	Homepage TU Wien
staticfilecache	Is needed to optimize the delivery time of the website.	session	HTTP	Homepage TU Wien
JESSIONSID	Is needed so that in case of a LectureTube the session ID is recognized to grant access to protected areas.	session	HTTP	LectureTube TU Wien
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Name	Purpose	Lifetime	Type	Provider
_pk_id	Used to store a few details about the user such as the unique visitor ID.	13 months	HTML	Matomo TU Wien
_pk_ref	Is used to store the information of the users home website.	6 months	HTML	Matomo TU Wien
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nmstat	Is used to record the behaviour on the website. It is used to collect statistics about website usage, such as when the visitor last visited the website. The cookie does not contain any personal data and is only used for website analysis.	1000 days	HTML	Siteimprove
siteimproveses	Is used to track the sequence of pages that a visitor views during his/her visit to the website. The cookie does not contain any personal data and is used solely for website analysis.	session	HTTP	Siteimprove
AWSELB	Always occurs in pairs with siteimproveses (for load balancing on the provider server)	session	HTTP	Siteimprove

Name	Purpose	Lifetime	Type	Provider
_ga	Is needed to distinguish the sessions of the users from each other.	persistent	HTTP	Google Analytics
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_gcl_au	Contains a randomly generated user ID.	90 days	HTTP	Google
_gcl_aw	Is set when users click on a Google ad on the website and contains information about which ad was clicked.	90 days	HTTP	Google
__utma	Is used to record visits and visitors.	2 years	HTTP	Google Analytics
__utmb	Is used to detect new visits.	30 minutes	HTTP	Google Analytics
__utmc	Is used in connection with __utmb to determine whether it is a new (recent) visit.	session	HTTP	Google Analytics
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__utmvc	Is needed to collect information about user behavior on multiple websites. This information is used to optimize the relevance of advertising on the website.	24 hours	HTTP	Google AdSense
utm_source	Is needed to tag URLs with parameters to identify the campaigns that forward traffic.	expires immediately	HTTP	Google Analytics
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gtag	Is needed to perform remarketing.	30 days	HTTP	Google AdSense
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1P_JAR	Is needed to optimize advertising, provide ads that are relevant to users, improve campaign performance reports, or prevent users from seeing the same ads more than once.	2 years	HTTP	Google
AID	Is needed to activate targeted advertising.	2 years	HTTP	Google Analytics
ANID	Is needed to display Google ads on non-Google websites.	2 years	HTTP	Google AdSense
APISID	Unknown functionality	2 years	HTTP	Google Ads Optimization
AR	Is needed to profile visitors' interests and display relevant ads on other websites. This cookie works by uniquely identifying your browser and device.	2 years	HTTP	Google AdSense
CONSENT	Is needed to store the preferences of visitors and personalize advertising.	persistent	HTTP	Google
DSID	Is needed by DoubleClick for advertising displayed in various places on the web and used to store the preferences of users.	2 years	HTTP	Doubleclick
DV	Is needed to store user preferences and other information. This includes, in particular, the preferred language, the number of search results to be displayed on the page, and the decision whether or not to activate the Google SafeSearch filter.	2 years	HTTP	Google
HSID	Contains the Google account ID and the last login time of the user.	2 years	HTTP	Google
IDE	Is needed by DoubleClick to record and report the actions of users on the website after viewing or clicking on one of the provider's ads, with the purpose of measuring the effectiveness of an advertisement and displaying targeted advertisements to users.	2 years	HTTP	Doubleclick
LOGIN_INFO	Is used to store the credentials of users of Google services.	2 years	HTTP	Google
NID	Is used to store information about user settings.	6 months	HTTP	Google
OTZ	Is needed to link activities of visitors with other devices that are previously logged in via the Google account. In this way, advertising is tailored to different devices.	1 month	HTTP	Google
RUL	Is needed by DoubleClick to determine whether advertising has been displayed correctly in order to make marketing activities more efficient.	1 year	HTTP	Doubleclick
SAPISID	Is needed by YouTube to store user settings and to calculate user bandwidth.	persistent	HTTP	Google
SEARCH_SAMESITE	Enables servers to mitigate the risk of CSRF and information leakage attacks by specifying that a particular cookie may only be sent on requests originating from the same registerable domain.	6 months	HTTP	Google
SID	Contains the Google account ID and the last login time of the user.	2 years	HTTP	Google
SIDCC	Is needed to store information about user settings and information for Google Maps.	3 months	HTTP	Google
SSID	Is needed to collect visitor information for videos hosted by YouTube on Google Maps integrated maps.	persistent	HTTP	Google
__SECURE-1PAPISID	Is needed for targeting purposes to create a profile of the interests of website visitors.	2 years	HTTP	Google
__SECURE-1PSID	Is needed for targeting purposes to create a profile of the interests of website visitors.	2 years	HTTP	Google
__SECURE-3PAPISID	Is needed for targeting purposes to create a profile of the interests of website visitors.	2 years	HTTP	Google
__SECURE-3PSID	Is needed for targeting purposes to create a profile of the interests of website visitors.	2 years	HTTP	Google
__SECURE-3PSIDCC	Is needed for targeting purposes to create a profile of the interests of website visitors.	2 years	HTTP	Google
__SECURE-APISID	Is needed to profile the interests of website visitors in order to display relevant and personalized advertising through retargeting.	8 months	HTTP	Google
__SECURE-HSID	Is needed to secure digitally signed and encrypted data from the unique Google ID and to store the last login time that Google uses to identify visitors, prevent fraudulent use of login data, and protect visitor data from unauthorized parties. This may also be used for targeting purposes to display relevant and personalized advertising content.	8 months	HTTP	Google
__SECURE-SSID	Is needed to store information about how visitors use the site and about the ads they may have seen before visiting the site. Also used to customize ads on Google domains.	8 months	HTTP	Google
test_cookie	Is set as a test to check whether the browser allows cookies to be set. Does not contain any identification features.	15 minutes	HTTP	Google
VISITOR_INFO1_LIVE	Is needed by YouTube to store user settings and to calculate user bandwidth.	6 months	HTTP	Youtube
facebook	Is used to Enable ad delivery or retargeting	90 days	HTTP	Meta (Facebook)
__fb_chat_plugin	Is needed to store and track interactions (marketing/tracking).	persistent	HTTP	Meta (Facebook)
_js_datr	Is needed to save user settings.	2 years	HTTP	Meta (Facebook)
_fbc	Is needed to save the last visit (marketing/tracking).	2 years	HTTP	Meta (Facebook)
fbm	Is needed to store account data (marketing/tracking).	1 year	HTTP	Meta (Facebook)
xs	Is needed to store a unique session ID (marketing/tracking).	1 year	HTTP	Meta (Facebook)
wd	Is needed to log the screen resolution.	1 week	HTTP	Meta (Facebook)
fr	Is needed to serve ads and measure and improve their relevance.	3 months	HTTP	Meta (Facebook)
act	Is needed to store logged in users (marketing/tracking).	90 days	HTTP	Meta (Facebook)
_fbp	Is needed to store and track visits to various websites (marketing/tracking).	3 months	HTTP	Meta (Facebook)
datr	Is needed to identify the browser for security and website integrity purposes, including account recovery and identification of potentially compromised accounts.	2 years	HTTP	Meta (Facebook)
dpr	Is used for analysis purposes. Technical parameters are logged (e.g. aspect ratio and dimensions of the screen) so that Facebook apps can be displayed correctly.	1 week	HTTP	Meta (Facebook)
sb	Is needed to store browser details and security information of the Facebook account.	2 years	HTTP	Meta (Facebook)
dbln	Is needed to store browser details and security information of the Facebook account.	2 years	HTTP	Meta (Facebook)
spin	Is needed for promotional purposes and social campaign reporting.	session	HTTP	Meta (Facebook)
presence	Contains the "chat" status of logged in users.	1 month	HTTP	Meta (Facebook)
cppo	Is needed for statistical purposes.	90 days	HTTP	Meta (Facebook)
locale	Is needed to save the language settings.	session	HTTP	Meta (Facebook)
pl	Required for Facebook Pixel.	2 years	HTTP	Meta (Facebook)
lu	Required for Facebook Pixel.	2 years	HTTP	Meta (Facebook)
c_user	Required for Facebook Pixel.	3 months	HTTP	Meta (Facebook)
bcookie	Is needed to store browser data (marketing/tracking).	2 years	HTTP	LinkedIn
li_oatml	Is needed to identify LinkedIn members outside of LinkedIn for advertising and analytics purposes.	1 month	HTTP	LinkedIn
BizographicsOptOut	Is needed to save privacy settings.	10 years	HTTP	LinkedIn
li_sugr	Is needed to store browser data (marketing/tracking).	3 months	HTTP	LinkedIn
UserMatchHistory	Is needed to provide advertising or retargeting (marketing/tracking).	30 days	HTTP	LinkedIn
linkedin_oauth_	Is needed to provide cross-page functionality.	session	HTTP	LinkedIn
lidc	Is needed to store performed actions on the website (marketing/tracking).	1 day	HTTP	LinkedIn
bscookie	Is needed to store performed actions on the website (marketing/tracking).	2 years	HTTP	LinkedIn
X-LI-IDC	Is needed to provide cross-page functionality (marketing/tracking).	session	HTTP	LinkedIn
AnalyticsSyncHistory	Stores the time when the user was synchronized with the "lms_analytics" cookie.	30 days	HTTP	LinkedIn
lms_ads	Is needed to identify LinkedIn members outside of LinkedIn.	30 days	HTTP	LinkedIn
lms_analytics	Is needed to identify LinkedIn members for analytics purposes.	30 days	HTTP	LinkedIn
li_fat_id	Required for indirect member identification used for conversion tracking, retargeting and analytics.	30 days	HTTP	LinkedIn
U	Is needed to identify the browser.	3 months	HTTP	LinkedIn
_guid	Is needed to identify a LinkedIn member for advertising via Google Ads.	90 days	HTTP	LinkedIn

Workgroup on Numerics of PDEs

Univ.Prof. Dipl.-Math. Dr.techn. Dirk Praetorius

Research interests

Administration

Brigitte Ecker

Postdocs

Projektass.(FWF) Dr.rer.nat. Philipp Bringmann

Projektass.(FWF) Dipl.-Ing. Dr.techn. Maximilian Brunner BSc

Univ.Ass.in Ani Miraci PhD

Univ.Ass. Dr.techn. Julian Streitberger BSc MSc

PhD students

Projektass.(FWF) Dott.mag. Michele Alde

Projektass.(FWF) Dipl.-Ing. Alexander Freiszlinger BSc

Student Assistants

Aleksandar Dadic BSc

Paula Hilbert BSc

Recent journal publications (since 2023)

Current Preprints (since 2023)

Recent talks (since 2023)

Navigation

Links

TU internal

Editorial work

Navigation

Links

TU internal

Editorial work

Workgroup on Numerics of PDEs

Univ.Prof. Dipl.-Math. Dr.techn. Dirk Praetorius

Research interests

Administration

Brigitte Ecker

Postdocs

Projektass.(FWF) Dr.rer.nat. Philipp Bringmann

Projektass.(FWF) Dipl.-Ing. Dr.techn. Maximilian Brunner BSc

Univ.Ass.in Ani Miraci PhD

Univ.Ass. Dr.techn. Julian Streitberger BSc MSc

PhD students

Projektass.(FWF) Dott.mag. Michele Alde

Projektass.(FWF) Dipl.-Ing. Alexander Freiszlinger BSc

Student Assistants

Aleksandar Dadic BSc

Paula Hilbert BSc

Recent journal publications (since 2023)

2024

2023

Current Preprints (since 2023)

2024

2023

Recent talks (since 2023)

2024

2023

Navigation

Links

TU internal

Editorial work

Navigation

Links

TU internal

Editorial work