Research

Numerics of PDEs
Finite Element Methods
contractive iterative solvers
optimal computational cost of adaptive FEM

P. Bringmann, M. Brunner, D. Praetorius, J. Streitberger: Optimal complexity of goal-oriented adaptive FEM for nonsymmetric linear elliptic PDEs, Journal of Numerical Mathematics, published online first (2024). [www] (open access), [arXiv:2312.00489]
M. Brunner, D. Praetorius, J. Streitberger: Cost-optimal adaptive FEM for semilinear elliptic PDEs, accepted for publication in Proceedings of ENUMATH 2023 (2024).
M. Brunner, D. Praetorius, J. Streitberger: Optimal cost of (goal-oriented) adaptive FEM for general second-order linear elliptic PDEs, accepted for publication in Proceedings of ENUMATH 2023 (2024).
M. Innerberger, A. Miraçi, D. Praetorius, J. Streitberger: hp-robust multigrid solver on locally refined meshes for FEM discretizations of symmetric elliptic PDEs, ESAIM: Mathematical Modelling and Numerical Analysis, 58 (2024), 247–272 . [www] (open access), [arXiv:2210.10415]
P. Bringmann, C. Carstensen, J. Streitberger: Local parameter selection in the C⁰ interior penalty method for the biharmonic equation, Journal of Numerical Mathematics, 32 (2024), 257-273. [www] (open access), [arXiv:2209.05221]
M. Brunner, P. Heid, M. Innerberger, A. Miraçi, D. Praetorius, J. Streitberger: Adaptive FEM with quasi-optimal overall cost for nonsymmetric linear elliptic PDEs, IMA Journal of Numerical Analysis, 44 (2024), 1560–1596 and 1903–1909. [www] (open access), [corrigendum] (open access), [arXiv:2212.00353]

A. Miraçi, D. Praetorius, J. Streitberger: Parameter-robust full linear convergence and optimal complexity of adaptive iteratively linearized FEM for nonlinear PDEs, [arXiv:2401.17778], 2024
M. Brunner, D. Praetorius, J. Streitberger: Cost-optimal adaptive FEM with linearization and algebraic solver for semilinear elliptic PDEs, [arXiv:2401.06486], 2024
P. Bringmann, M. Feischl, A. Miraçi, D. Praetorius, J. Streitberger: On full linear convergence and optimal complexity of adaptive FEM with inexact solver, [arXiv:2311.15738], 2023

P. Bringmann, M. Brunner, A. Miraçi, D. Praetorius, J. Streitberger: Optimal complexity of goal-oriented adaptive FEM with nested iterative solvers, CMAM-10, Bonn, 12. Juni 2024 [slides]
P. Bringmann, M. Brunner, M. Feischl, A. Miraçi, D. Praetorius, J. Streitberger: 2fast2converge - Optimal complexity of adaptive FEM for second-order elliptic PDEs, PhD Colloquium of the Vienna School of Mathematics, Wien, 15. April 2024 [slides]
P. Bringmann, M. Brunner, A. Miraçi, D. Praetorius, J. Streitberger: Cost-optimal goal-oriented adaptive FEM for linear elliptic PDEs, ENUMATH 2023, Lisbon, Portugal, 04. September 2023 [slides]
M. Brunner, P. Heid, M. Innerberger, A. Miraçi, D. Praetorius, J. Streitberger: Adaptive FEM for linear elliptic PDEs: optimal complexity, 17th Austrian Numerical Analysis Day, Wien, 27.-28. April 2023 [slides]
M. Brunner, A. Miraçi, D. Praetorius, J. Streitberger: Optimal cost of AFEM for linear elliptic PDEs, 2nd SFB International Workshop 2023 "Taming Complexity in Partial Differential Systems", Wien, 19.-21. April 2023

Thesis: Optimal complexity of standard and goal-oriented adaptive FEM for general second-order linear elliptic PDEs [www], opens a file in a new window [slides], opens a file in a new window

Dissertation: Optimal complexity of standard and goal-oriented adaptive FEM for general second-order linear elliptic PDEs [www], opens a file in a new window [slides], opens a file in a new window

Poster pdf 1 MB , download

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SimpleSAMLAuthToken	This is needed to distinguish between the sessions of the logged-in users.	session	HTTP	Login TU Wien
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HSID	Contains the Google account ID and the last login time of the user.	2 years	HTTP	Google
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SID	Contains the Google account ID and the last login time of the user.	2 years	HTTP	Google
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SSID	Is needed to collect visitor information for videos hosted by YouTube on Google Maps integrated maps.	persistent	HTTP	Google
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__SECURE-3PSIDCC	Is needed for targeting purposes to create a profile of the interests of website visitors.	2 years	HTTP	Google
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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)
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_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)
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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)
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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)
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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)
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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
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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

Current fields of research

Publications (peer-reviewed)

Preprints

Talks

Thesis

Thesis