Publications

♦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



♦GAMM-Leitartikel:

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



♦Refereed Journal Publications:

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, accepted in April 2019
pdf
41) N. Noii, T. Wick; A Phase-Field Description for Pressurized and Non-Isothermal Propagating Fractures,
Comp. Meth. Appl. Mech. Engrg. (CMAME),
accepted in March 2019
pdf
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),
accepted in Dec 2018
pdf
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,
accepted in Oct 2018
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,
First published online, Oct 2018
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),
published online in Apr 2017
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:

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:

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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