Publications

MathSciNet ID: 915658
Scopus Author ID: 7003291822
Orcid ID: 0000-0002-1102-6332
Google scholar: Thomas Wick


♦Preprints and submitted work:

See Google Scholar or arXiv



♦Books:

2) T. Richter, T. Wick; Einführung in die numerische Mathematik - Begriffe, Konzepte und zahlreiche Anwendungsbeispiele
Springer, December 2017
Link
1) S. Frei, B. Holm, T. Richter, T. Wick, H. Yang (eds.); Fluid-Structure Interaction: Modeling, Adaptive Discretisations and Solvers
Radon Series on Computational and Applied Mathematics 20, de Gruyter, November 2017
Link



♦Lecture notes with doi:

2) P. Bastian, T. Wick; PeC3 Spring School on Introduction to Numerical Modeling with Differential Equations
Hannover : Institutionelles Repositorium der Leibniz Universität Hannover, 2019.
DOI: https://doi.org/10.15488/6427
DOI: Pre-course
DOI: Exercises
PeCCC - Peruvian Competence Center of Scientific Computing
Link
1) K. Mang, T. Wick; Numerical Methods for Variational Phase-Field Fracture Problems
Hannover : Institutionelles Repositorium der Leibniz Universität Hannover, 2019.
DOI: https://doi.org/10.15488/5129
Link



♦GAMM-Leitartikel:

T. Wick; Zielorientierte Numerik für Multiphysiksimulationen,
GAMM-Rundbrief, Nr. 2, 2018 (in german)
pdf



♦Refereed Journal Publications:

49) M. K. Brun, T. Wick, I. Berre, J. M. Nordbotten, F. A. Radu; An iterative staggered scheme for phase field brittle fracture propagation with stabilizing parameters,
Comp. Meth. Appl. Mech. Engrg. (CMAME),
accepted Nov 2019
arXiv
48) N. Noii, F. Aldakheel, T. Wick, P. Wriggers; An adaptive global-local approach for phase-field modeling of anisotropic brittle fracture,
Comp. Meth. Appl. Mech. Engrg. (CMAME),
accepted Nov 2019
arXiv
47) V. Mohammadi, M. Dehghan, A. Khodadadian, T. Wick; Numerical investigation on the transport equation in spherical coordinates via generalized moving least squares and moving kriging least squares approximations,
Engineering with Computers (EWCO), accepted in October 2019
46) B. Endtmayer, U. Langer, T. Wick; Two-side a posteriori error estimates for the DWR method,
SIAM Journal on Scientific Computing (SISC), accepted in October 2019
arXiv
45) K. Mang, , T. Wick, W. Wollner; A phase-field model for fractures in nearly incompressible solids,
Computational Mechanics, accepted in July 2019
arXiv journal
44) D. Feng, I. Neuweiler, U. Nackenhorst, T. Wick; A time-space flux-corrected transport finite element formulation for solving multi-dimensional advection-diffusion-reaction equations,
Journal of Computational Physics (JCP), accepted in June 2019
journal
43) K. Mang, M. Walloth, T. Wick, W. Wollner; Mesh adaptivity for quasi-static phase-field fractures based on a residual-type a posteriori error estimator,
GAMM-Mitteilungen, accepted in June 2019
arXiv journal
42) I. Neitzel, T. Wick, W. Wollner; An Optimal Control Problem Governed by a Regularized Phase-Field Fracture Propagation Model. Part II The Regularization Limit,
SIAM Journal on Control and Optimization (SICON),
Vol. 57(3), 2019, pp. 1672-1690
pdf journal
41) N. Noii, T. Wick; A Phase-Field Description for Pressurized and Non-Isothermal Propagating Fractures,
Comp. Meth. Appl. Mech. Engrg. (CMAME),
Vol. 351 (2019), pp. 860-890
pdf journal
40) C. J. van Duijn, A. Mikelic, M.F. Wheeler, T. Wick; Thermoporoelasticity via homogenization I. Modeling and formal two-scale expansions,
International Journal of Engineering Science (IJES),
Vol. 138 (2019), pp. 1-25
HAL journal
39) T. Wick, W. Wollner; On the differentiability of stationary fluid-structure interaction problems with respect to the problem data,
Journal of Mathematical Fluid Mechanics (JMFM),
Vol. 21 (3), 2019, pages 34
pdf journal
38) A. Mikelic, M.F. Wheeler, T. Wick; Phase-field modeling
through iterative splitting of hydraulic fractures in a poroelastic medium,
GEM - International Journal on Geomathematics,
Vol. 10, 2019
Older preprint version ICES Preprint 14-18, July 2014 on 1418
Older preprint version ICES Preprint 13-15, June 2013 on 1315
pdf journal
37) D. Jodlbauer, U. Langer, T. Wick; Parallel Block-Preconditioned Monolithic Solvers for Fluid-Structure-Interaction Problems,
International Journal for Numerical Methods in Engineering, Vol. 117 (6), 2019, pp. 623-643
journal
36) C.J. van Duijn, A. Mikelic, T. Wick; A monolithic phase-field model of a fluid-driven fracture in a nonlinear poroelastic medium,
Mathematics and Mechanics of Solids,
Vol. 24 (5), 2019, pp. 1530-1555
journal
35) S. Lee, A. Mikelic, M. F. Wheeler, T. Wick; Phase-field modeling of two phase fluid filled fractures in a poroelastic medium,
SIAM Multiscale Modeling and Simulation (MMS),
Vol. 16 (4), 2018, pp. 1542-1580
pdf journal
34) B. Endtmayer, U. Langer, T. Wick; Multigoal-Oriented Error Estimates for Non-linear Problems,
Journal of Numerical Mathematics (JNUM), accepted in July 2018
arXiv journal
33) L. Failer, T. Wick; Adaptive Time-Step Control for Nonlinear Fluid-Structure Interaction,
Journal of Computational Physics (JCP), Vol. 366, 2018,
pp. 448 - 477
journal
32) S. Weißer, T. Wick; The dual-weighted residual estimator realized on polygonal meshes,
Computational Methods in Applied Mathematics (CMAM), Vol. 18(4), 2018, pp. 753-776
journal
31) C. Goll, T. Wick, W. Wollner; DOpElib: Differential Equations and Optimization Environment; A Goal Oriented Software
Library for Solving PDEs and Optimization Problems
with PDEs,
Archive of Numerical Software (ANS), Vol. 5(2), 2017, pp. 1-14
DOpElib journal
30) T. Wick; Modified Newton methods for solving fully monolithic phase-field quasi-static brittle fracture propagation,
Comp. Meth. Appl. Mech. Engrg., Vol. 325, 2017, pp. 577-611
pdf journal
29) T. Wick; An error-oriented Newton/inexact augmented Lagrangian approach for fully monolithic phase-field fracture propagation,
SIAM J. Sci. Comput., Vol. 39(4), 2017, pp. B589-B617
pdf journal
28) B. Endtmayer, T. Wick; A partition-of-unity dual-weighted residual approach for multi-objective goal functional error
estimation applied to elliptic problems
Computational Methods in Applied Mathematics (CMAM),
Vol. 17(4), 2017, pp. 575-599
journal
27) I. Neitzel, T. Wick, W. Wollner; An Optimal Control Problem Governed by a Regularized Phase-Field Fracture Propagation Model,
SIAM Journal on Control and Optimization, Vol. 55(4), 2017,
pp. 2271-2288
pdf journal
26) I. Toulopoulos, T. Wick; Numerical methods for power-law diffusion problems,
SIAM J. Sci. Comput., Vol. 39(3), 2017, pp. A681-A710
pdf journal
25) S. Lee, M.F. Wheeler, T. Wick; Iterative coupling of flow, geomechanics and adaptive phase-field fracture including level-set crack width approaches,
Journal of Computational and Applied Mathematics, Vol. 314 (2017), pp. 40-60
1623 journal
24) T. Wick; Coupling fluid-structure interaction with phase-field fracture,
Journal of Computational Physics, Vol. 327 (2016), pp. 67-96
pdf journal
23) S. Frei, T. Richter, T. Wick; Long-term simulation of large deformation, mechano-chemical fluid-structure interactions in ALE and fully Eulerian coordinates,
Journal of Computational Physics, Vol. 321 (2016), pp. 874-891
journal
22) S. Lee, M. F. Wheeler, T. Wick, S. Srinivasan; Initialization of phase-field fracture propagation in porous media using probability maps of fracture networks,
Mechanics Research Communications, in press, doi: 10.1016/j.mechrescom.2016.04.002
journal
21) S. Lee, M. F. Wheeler, T. Wick; Pressure and fluid-driven fracture propagation in porous media using an adaptive finite element phase field model,
Comp. Meth. Appl. Mech. Engrg., Vol. 305 (2016),
pp. 111–132
pdf journal
20) T. Wick; Goal functional evaluations for phase-field fracture
using PU-based DWR mesh adaptivity,
Computational Mechanics, Vol. 57(6), 2016, pp. 1017-1035
journal
19) S. Lee, A. Mikelic, M. F. Wheeler, T. Wick; Phase-field
modeling of proppant-filled fractures in a poroelastic medium,
Comp. Meth. Appl. Mech. Engrg., Vol. 312 (2016), pp. 509-541
pdf journal
18) A. Mikelic, M. F. Wheeler, T. Wick; Phase-field modeling of a fluid-driven fracture in a poroelastic medium,
Computational Geosciences, Vol. 19(6), 2015, pp. 1171-1195
pdf journal
17) T. Wick, G. Singh, M. F. Wheeler; Fluid-Filled Fracture
Propagation using a Phase-Field Approach and Coupling to a Reservoir Simulator, SPE Journal, Vol. 21 (03), 2016, pp. 981-999
journal
16) D. Wick, T. Wick, R.J. Hellmig, H.-J. Christ; Numerical simulations of crack propagation in screws with phase-field modeling,
Comput. Mater. Sci., Vol. 109 (2015), pp. 367-379
pdf journal
15) T. Heister, M. F. Wheeler, T. Wick; A primal-dual active set method and predictor-corrector mesh adaptivity for computing fracture propagation using a phase-field approach,
Comp. Meth. Appl. Mech. Engrg., Vol. 290 (2015), pp. 466-495
pdf journal
14) A. Mikelic, M. F. Wheeler, T. Wick; A quasistatic phase field approach to pressurized fractures,
Nonlinearity, Vol. 28(5), 2015, pp. 1371-1399
pdf journal
13) A. Mikelic, M. F. Wheeler, T. Wick; A phase-field method for propagating fluid-filled fractures coupled to a surrounding
porous medium,
SIAM Multiscale Modeling and Simulation, Vol. 13(1), 2015,
pp. 367-398
pdf journal
12) T. Richter, T. Wick; Variational Localizations of the Dual-Weighted Residual Estimator,
Journal of Computational and Applied Mathematics,
Vol. 279 (2015), pp. 192-208
pdf journal
11) M. F. Wheeler, T. Wick, W. Wollner; An Augmented-Lagrangian Method for the Phase-Field Approach for
Pressurized Fractures,
Comp. Meth. Appl. Mech. Engrg., Vol. 271 (2014), pp. 69-85
journal
10) B. Ganis, M. Mear, A. Sakhaee-Pour,
M. F. Wheeler, T. Wick; Modeling Fluid Injection in Fractures with a Reservoir Simulator Coupled to a Boundary Element Method,
Computational Geosciences, Vol. 18(5), (2014), pp. 613-624
journal
9) K. Kumar, M. F. Wheeler, T. Wick; Reactive Flow and Reaction-Induced Boundary Movement in a Thin Channel,
SIAM J. Sci. Comput., Vol. 35(6), 2013, pp. B1235-B1266
journal
8) T. Wick; Flapping and Contact FSI Computations with the Fluid-Solid Interface-Tracking/Interface-Capturing Technique and Mesh Adaptivity,
Computational Mechanics, Vol. 53 (1), 2014, pp. 29-43
journal
7) T. Richter, T. Wick; Optimal Control and Parameter Estimation for Stationary Fluid-Structure Interaction Problems,
SIAM J. Sci. Comput., Vol. 35(5), 2013, pp. B1085-B1104
journal
6) T. Wick; Coupling of Fully Eulerian and Arbitrary Lagrangian-Eulerian Methods for Fluid-Structure Interaction Computations,
Computational Mechanics, Vol. 52 (2013), pp. 1113-1124
journal
5) T. Wick; Solving Monolithic Fluid-Structure Interaction
Problems in Arbitrary Lagrangian Eulerian Coordinates with the deal.II Library,
Archive of Numerical Software (ANS), Vol. 1 (2013), pp. 1-19
pdf journal
4) T. Wick; Fully Eulerian Fluid-Structure Interaction for Time-Dependent Problems,
Comp. Meth. Appl. Mech. Engrg. 255 (2013), pp. 14-26
journal
3) T. Wick; Goal-Oriented Mesh Adaptivity for Fluid-Structure Interaction with Application to Heart-Valve Settings,
Archive of Mechanical Engineering 59 (2012), pp. 73-99
journal
2) T. Wick; Fluid-Structure Interactions using Different Mesh Motion Techniques,
Comput. Struct. 89 (2011), pp. 1456-1467
journal
1) T. Richter, T. Wick; Finite Elements for Fluid-Structure Interaction in ALE and Fully Eulerian Coordinates,
Comp. Meth. Appl. Mech. Engrg., Vol. 199 (41-44), 2010, pp. 2633-2642
journal



♦Book articles (peer-reviewed):

4) D. Jodlbauer, T. Wick; A monolithic FSI solver applied to the FSI 1,2,3 benchmarks, to appear in 'Fluid-structure interaction: Modeling, Adaptive Discretizations and Solvers' (Radon Series 20, de Gruyter), Nov 2017 Link
3) T. Wick; Coupling fluid-structure interaction with phase-field fracture: algorithmic details, to appear in 'Fluid-structure interaction: Modeling, Adaptive Discretizations and Solvers' (Radon Series 20, de Gruyter), Nov 2017 Link
2) T. Wick; Variational-monolithic ALE fluid-structure interaction: Comparison of computational cost and mesh regularity using different mesh motion techniques,
accepted in May 2016 for the HPSC Hanoi proceedings
Link
1) T. Richter, T. Wick; On time discretizations of fluid-structure interactions,
in: T. Carraro, M. Geiger, S. Körkel, and R. Rannacher (eds), "Multiple Shooting and Time Domain Decomposition Methods", Contributions in Mathematical and Computational Science, Springer, 2014.
Link



♦Conference and Workshop Proceedings:

22) M. Fan, T. Wick, Y. Jin; A phase-field model for mixed-mode fracture,
8th GACM Colloquium on Computational Mechanics (GACM 2019), Kassel, 28-30 Aug, 2019
E-Book
21) B. Endtmayer, U. Langer, I. Neitzel, T. Wick, W. Wollner; Mesh adaptivity and error estimates applied to a regularized p-Laplacian constrained optimal control problem for multiple quantities of interest,
PAMM, 2019
20) S. Frei, T. Richter, T. Wick; Long-term simulation of large deformation, mechano-chemical FSI in ALE and fully Eulerian coordinates,
Oberwolfach report, No. 39, 2018
19) T. Heister, T. Wick; Parallel solution, adaptivity, computational convergence, and open-source code of 2d and 3d pressurized phase-field fracture problems,
PAMM, 2018
arXiv journal
18) B. Endtmayer, U. Langer, T. Wick; Multiple goal-oriented error estimates applied to 3D non-linear problems,
PAMM, 2018
journal
17) T. Almani, S. Lee, M.F. Wheeler, T. Wick; Multirate coupling for flow and geomechanics applied to hydraulic fracturing using an adaptive phase-field technique,
SPE RSC 182610-MS, Feb. 2017, Montgomery, Texas, USA
RSC
16) P. Mital, T. Wick, M.F. Wheeler, G. Pencheva; Discontinuous and enriched Galerkin methods for phase-field fracture propagation in elasticity,
Numerical Mathematics and Advanced Applications - ENUMATH 2015, Springer 2016
pdf Book
15) T. Wick; Coupling fluid-structure interaction with phase-field fracture: modeling and a numerical example,
Numerical Mathematics and Advanced Applications - ENUMATH 2015, Springer 2016
Book
14) T. Wick; Goal-oriented error estimation and mesh adaptivity for phase-field-based fracture propagation,
Proceedings of YIC-GACM conference in Aachen, July 20-23, Germany
pdf
13) T. Wick; Dual-weighted residual adaptivity for phase-field fracture propagation,
PAMM-Proceedings of Applied Mathematics and Mechanics, Vol. 15(1), 2015, pp. 619-620
pdf journal
12) T. Wick, S. Lee, M. F. Wheeler; 3D Phase-Field for Pressurized Fracture Propagation in Heterogeneous Media
ECCOMAS and IACM Coupled Problems, May 2015 at San Servolo, Venice/Italy
pdf E-book
11) S. Frei, T. Richter, T. Wick; Eulerian Techniques for Fluid-Structure Interactions - Part II: Applications.
Numerical Mathematics and Advanced Applications, Proceedings of ENUMATH 2013, August 2013, Lausanne, Switzerland
pdf
10) S. Frei, T. Richter, T. Wick; Eulerian Techniques for Fluid-Structure Interactions - Part I: Modeling and Simulation.
Numerical Mathematics and Advanced Applications, Proceedings of ENUMATH 2013, August 2013, Lausanne, Switzerland
pdf
9) K. Kumar, T. van Noorden, M. F. Wheeler, T. Wick; An ALE-based method for reaction-induced boundary movement towards clogging.
Numerical Mathematics and Advanced Applications, Proceedings of ENUMATH 2013, August 2013, Lausanne, Switzerland
pdf
8) T. Wick, G. Singh, M.F. Wheeler; Pressurized-Fracture propagation using a phase-field approach coupled to a reservoir simulator,
SPE 168597-MS, SPE HFTC Proceedings
web
7) G. Singh, G. Pencheva, T. Wick, B. Ganis, M.F. Wheeler; Impact of accurate fractured reservoir flow modeling on recovery predictions,
SPE 168630-MS, SPE HFTC Proceedings
web
6) T. Wick, A. Elsheikh, M. F. Wheeler; Parameter Estimation for the Coupled Biot-Lame-Navier Problem in Subsurface Modeling,
ARMA Conference in San Francisco, Jun 23-26, 2013
web
5) T. Wick; Stability estimates and numerical comparison of second-order time-stepping schemes for fluid-structure interaction,
Proc. ENUMATH 2011, Sep 6-10, 2011, Leicester, Great Britain
4) T. Wick; An Energy Absorbing Layer for the Structure Outflow Boundary Applied to 2D Heart Valve Dynamics with Multiple Structures,
ECCOMAS - SIMBIO, Sep 21-23, 2011, Brussels, Belgium
pdf
3) T. Wick; Adaptive Finite Elements for Monolithic Fluid-Structure Interaction on a Prolongated Domain: Applied to an Heart Valve Simulation,
CMM 2011, Comput. Meth. Mech., May 9-12, 2011, Warsaw, Poland
pdf Jan Szmelter
2) B. Janssen, T. Wick; Block Preconditioning with Schur Complements for Monolithic Fluid-Structure Interactions,
ECCOMAS CFD 2010, Lisbon, Portugal, 14-17 June 2010 (J.C.F. Pereira and A. Sequeira, eds)
1) T. Richter, T. Wick; Fluid-Structure Interactions in ALE and Fully Eulerian Coordinates, PAMM, 2010



♦Lecture Notes and Documentation:

9) L. Samolik, T. Wick; Numerische Mathematik II (Numerik GDGL, Eigenwerte)
SS 2019 Leibniz Universitaet Hannover, Mitschrift/Skriptum, Aug 2019
8) T. Wick; Numerical methods for partial differential equations
Lecture notes to the class (in English) Numerik partieller Differentialgleichungen 1+2, WS 2017/2018 Leibniz Universitaet Hannover (in English)
Webseite
7) T. Wick; Introduction to numerical modeling
Lecture notes for the class MAP 502 (STEEM) at Ecole Polytechnique, 2016 - 2018
Webpage
6) T. Wick; Modeling, Discretization, Optimization, and Simulation of Fluid-Structure Interaction;
Lecture notes, Jun 2018 (partially under construction)
pdf
5) C. Goll, T. Wick, W. Wollner; DOpE: Differential Equations Environment; Manual, updated since 2009 dopelib.net
4) T. Richter, T. Wick; Einführung in die Numerik; Script, Universität Heidelberg, April 2012; extended to book in October 2017 Book
3) T. Carraro, D. Gerecht, C. Goll, T. Wick; Optimierung mit partiellen Differentialgleichungen; Script, Universität Heidelberg, April 2012 per E-Mail
2) F.-J. Delvos, T. Wick; Approximation in periodischen Räumen; Script/Notes, University of Siegen, February 2008 Full text in pdf
1) F.-T. Suttmeier, T. Wick; Lösung von PDGL mit der Finite Elemente Methode; My notes, University of Siegen, April 2007 Full text in pdf



♦Reports:

3) T. Wick, M.F. Wheeler, A. Mikelic; A Phase-Field Framework for Propagating Pressurized-Fractures in Two- and Three Dimensions Computed with deal.II,
Internal Technical Report, CSM group at ICES, Apr 2014
2) T. Wick; Numerical Integration in FEM; Master seminar script, University of Siegen, January 2008 Full text in pdf
1) T. Wick; WITOP: Wissenschaftliches Topographie-Oberflächenprogramm mit Schnittstelle zur FE-Simulation des Mikrokosmos; Technical report ThyssenKruppSteel, March 2007



♦Contribution of findings:

R. Rannacher, T. Wick; Fluid-stucture interaction benchmarks FSI 1 and FSI 3 - numerical simulation and functional values using variational-monolithic ALE-FSI (Method 2b, p. 421ff). In 'Numerical Benchmarking of Fluid-Structure Interaction: a comparison of different discretization and solution approaches', eds. S. Turek, J. Hron, M. Razzaq, H. Wobker, M. Schäfer. Article appeared in 'Fluid Structure Interaction II: Modelling, Simulation, Optimization, eds. H.-J. Bungartz, M. Mehl, M. Schäfer, Springer, 2010.



♦Theses:

3) T. Wick; Adaptive Finite Element Simulation of Fluid-Structure Interaction with Application to Heart-Valve Dynamics; PhD thesis (doctoral thesis), University of Heidelberg, November 2011 Link
2) T. Wick; Untersuchung von Kopplungsmechanismen von Fluid-Struktur-Interaktion; Master thesis, University of Siegen, July 2008 Abstract in pdf
1) T. Wick; Konvergenzbeschleunigung durch Extrapolation am Beispiel der Romberg-Integration; Bachelor thesis, University of Siegen, December 2006 Full text in pdf







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