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Kristoffer van der Zee

Professor of Numerical Analysis & Computational Applied Mathematics, Director of Automation Innovation, Faculty of Science

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Biography

  • Full Professor of Numerical Analysis & Computational Applied Mathematics, School of Mathematical Sciences, 糖心原创 (since Aug 2023)
  • Director of Automation Innovation, School of Mathematical Sciences, 糖心原创 (since Aug 2023)
  • Interim PGR Student Advisor, School of Mathematical Sciences, 糖心原创 (since Aug 2023)
  • Director of PGR Studies, School of Mathematical Sciences, 糖心原创 (Aug 2020-2023)
  • Associate Professor of Scientific Computation, School of Mathematical Sciences, 糖心原创 (Aug 2020 - Aug 2023)
  • Editor, , since Oct 2023 (Associate Editor, Sep 2021 - Sep 2023).
  • Associate Fellow of the (AFHEA) (since 2018).
  • Nottingham SIAM-IMA Student Chapter Faculty Advisor, inaugural (Nov 2017 - Aug 2020)
  • Royal Society Kan Tong Po International Exchange Fellow, City University of Hong Kong (Nov 2015 - Jan 2016)
  • School PGR Student Advisor, School of Mathematical Sciences, 糖心原创 (Aug 2015 - Aug 2020)
  • Nottingham Node Representative (Mathematics Access Grid: Instruction and Collaboration) (Aug 2015 - Aug 2020)
  • Lecturer (Assistant Prof) of Scientific Computation, School of Mathematical Sciences, 糖心原创 (Oct 2013 - Aug 2020)

Other biography

  • Feb 2011 - Oct 2013 :: Assistant Professor (NWO Veni Early Career Fellow), Multiscale Engineering Fluid Dynamics, Dept Mathematics & Computer Science and Mechanical Engineering, Eindhoven University of Technology
  • July 2009 - Jan 2011 :: Postdoctoral Researcher, Multiscale Modeling Group, Institute for Computational Engineering and Sciences, The University of Texas at Austin
  • June 2009 :: PhD Degree, Delft University of Technology (PhD Thesis: -- )
  • Oct 2004 :: MSc Degree, Aerospace Engineering, Delft University of Technology (MSc Thesis: )

Research Summary

  • Numerical analysis, scientific computation, and computational PDEs;
  • Neural networks and machine-learning for scientific computation;
  • Optimal discretisation theory, minimal residual (MRes) and Petrov-Galerkin methods;
  • Foundations of error estimation and optimality of adaptive FEM;
  • Reduced-order, multi-scale, and adaptive modelling;
  • Uncertainty quantification, validation and optimal Bayesian experimental design;
  • Evolving-interface phenomena, free- and moving-boundary problems;
  • Multiphase flows and materials, and phase-field/diffuse-interface models;
  • Applications to fluid dynamics, mechanobiology and engineering mechanics.

Member of School of Mathematical Sciences' Research Themes and Centres

Some recent talks

  • , Marie Sk艂odowska-Curie Doctoral Network "IN-DEEP", Consortium Meeting, Bilbao (2024)
  • , Workshop MinRes/LS FEM, BCAM, Bilbao (2024)
  • , Workshop, MathGeo: Phase-Field Models for Geoenergy Applications (2022)
  • , UKACM 2022 School, UK Association for Computational Mechanics (2022)
  • , Australian Seminar Series on Computational Mathematics (2021)
  • , Workshop, Phase 2019: Engineering to Biology, University of Pavia (2019)

Organiser

Postgraduate Projects

  • (2024), Real-time inversion using self-explainable deep learning driven by expert knowledge, European Commision, MSCA Doctoral Network, PhD Vacancies:
  • Please contact me if you're interested in pursuing a postgraduate degree in one of the above research topics! Also have a look at our School's , and .

Postdoctoral opportunities (general UK fellowships)

Teaching Summary

2024-2025

  • MAGIC098 - Adaptive Finite Element Methods (autumn semester) (Link to )
  • MATH3036 - Scientific Computation and Numerical Analysis (spring semester) (Link to )
  • MATH31xx - PDE Modelling and Applied Analysis (development)

2023-2024

  • MATH2019 - Introduction to Scientific Computation (autumn semester) (Link to )
  • MAGIC098 - Adaptive Finite Element Methods (autumn semester) (Link to )
  • MATH3036 - Scientific Computation and Numerical Analysis (spring semester) (Link to )

2022-2023

  • MATH2019 - Introduction to Scientific Computation (autumn semester) (Link to )
  • MAGIC098 - Adaptive Finite Element Methods (autumn semester) (Link to )
  • MATH3036 - Scientific Computation and Numerical Analysis (spring semester) (Link to )

2021-2022

  • MATH2019 (G12ISC) - Introduction to Scientific Computation (autumn semester) (Link to )
  • MATH3036 - Scientific Computation and Numerical Analysis (development)

2020-2021

  • MATH2019 (G12ISC) - Introduction to Scientific Computation (autumn semester) (Link to )
  • MATH4064 (G14CAM) - Computational Applied Mathematics (Link to )

2019-2020

  • MATH2019 (G12ISC) - Introduction to Scientific Computation (autumn semester) (Link to )
  • MATH4064 (G14CAM) - Computational Applied Mathematics (Link to )

2018-2019

  • MATH2019 (G12ISC) - Introduction to Scientific Computation (autumn semester) (Link to )

2017-2018

  • G12ISC - Introduction to Scientific Computation (spring semester) (Link to )
  • G14CAM - Computational Applied Mathematics (Link to )

2016-2017

  • G12ISC - Introduction to Scientific Computation (spring semester) (Link to )
  • G14CAM - Computational Applied Mathematics (Link to )
  • Advanced Discretization: Theory, Applications and Numerical Implementation (part of )

2015-2016

  • G12INM / HG2INM - Introduction to Numerical Methods (spring semester) (Link to )
  • G14CAM - Computational Applied Mathematics (Link to )

2014-2015

  • G12INM / HG2INM - Introduction to Numerical Methods (spring semester) (Link to and )
  • HG4MPD (UK) - Mathematical Techniques in PDEs for Engineers (Link to and )

2013-2014

  • HG4MPD (UK) - Mathematical Techniques in PDEs for Engineers (Link to and )
  • Introduction to Phase-Field Modeling (part of )

2012-2013

  • Interfaces and Free Boundaries: Modeling and Computation (; MSc class)
  • Advanced Discretization Techniques (; MSc class)
  • Goal-Oriented Methods: Error Estimation, Adaptive Algorithms, Multiscale Modeling ()

2011-2012

  • Advanced Discretization Techniques (; MSc class)
  • Fundamentals of Fluid-Structure Interaction ( MSc class)
  • Shape Calculus (part of )
  • Introduction to Phase-Field Modeling (part of )

2010, 2011

  • Goal-Oriented Methods: Error Estimation, Adaptive Algorithms, Multiscale Modeling ()
  • Introduction to Phase-Field Modeling and the Cahn-Hilliard Equation (part of )

Supervision

  • Emin Benny Chacko, Topic: Deep Learning for PDEs, Marie-Curie Network (in-deep.science) PhD project 2024-2027
  • Jingce Tao, Topic: Fluid Surfactant PDEs, PhD project 2024-2027
  • Ignacio Brevis (Postdoc), Topic: Scientific Machine Learning for membrane manufacturing, 2022-2025
  • Tanakorn Udomworarat, Topic: Scientific Machine Learning for wave modelling, PhD project 2022-2026
  • Sattam Alrashidy, Topic: Optimisation, control and estimation for nonlinear PDEs with applications in Fluid Mechanics, PhD project 2021-2024
  • Hamd Alsobhi, Topic: Optimisation algorithms for Minimal-Residual FEM, PhD project 2020-2023
  • Xuesi (Rose) Yang, Zhengyuan (Cassie) Zhang, Yu (Summer) Qi, Zeqi (Elain) Wang, Geometric Modelling of Human Bodies, UG Summer 2020
  • Anne Boschman, Topic: Bulk-surface phase-field modelling, PhD project 2019-2023
  • Isil Akpinar (Postdoc), Topic: Machine Learning for Membrane Manufacturing, 2019-2021
  • Fran Rourke (2nd supervisor), Topic: Adaptive FEM, PhD project 2019-2023
  • Yiyun Fan (2nd supervisor), Topic: Two-fluid flow asymptotics, PhD project 2019-2022
  • Toby Willis (with Matteo Icardi), Diffuse-domain approximations for porous media flow, UG Summer 2019, Nottingham
  • Matthew Tyler (with Donald Brown), Advanced discontinuous discretisation techniques for multiscale PDEs, Summer 2018 (LMS Undergraduate Bursary), Nottingham
  • Sarah Roggendorf, Topic: Adaptive FEM for nonlinear PDEs, PhD project 2016-2019, 糖心原创
  • Yuchen Yang (2nd supervisor), Topic: Bayesian inference for PDEs, PhD project 2015-2018, 糖心原创 (VC Scholarship for Research Excellence)
  • Chris Miles, Topic: Solar-cell computational phase-field modelling, PhD project 2015-2019, 糖心原创
  • Holly Smith (2nd supervisor), Topic: Tumour pattern formation, PhD project 2015-2018, 糖心原创
  • Lee Curtin (2nd supervisor), Topic: Mathematical modelling of brain tumour growth and therapy, 30 April 2019, 糖心原创
  • Xunxun Wu, , 28 June 2017, Eindhoven University of Technology
  • Gorkem Simsek, , 21 June 2017, Eindhoven University of Technology
  • Benjamin Dominguez, Modelling error estimation for granular solids, MSc thesis 2015, 糖心原创
  • James Malone, Truncation-induced error estimation for the Black-Scholes model, MSc thesis 2015, 糖心原创
  • Ian Roper, Partitioned-domain concurrent multiscale modelling, Master's thesis 2015, 糖心原创
  • Panagiotis Zacharis, Bayesian calibration and model selection for elastic continua, MSc thesis 2014, 糖心原创
  • Jack Litherland, Topic: Particle-continuum multiscale modeling, 2014 BSc Summer Studentship (Dean's Fund), 糖心原创
  • Rody van Tuijl, Energy stable discretisation of surfactant transport on fluid surfaces, MSc thesis 2013, Eindhoven University of Technology
  • G枚kt眉rk Kuru, , MSc thesis 2013, Eindhoven University of Technology
  • Peter Fick, , MSc thesis 2008, Delft University of Technology
  • Ted Heemskerk, , MSc thesis 2006, Delft University of Technology

Preprints

  • Alsobhi, Benny-Chacko, Brevis, Van der Zee,
  • Prudhomme, Romkes, Van der Zee, Goal-Oriented Adaptive Modeling: Oden's Legacy, Recent Results, and Future Trends, preprint
  • Vaughan, Piccinini, Zelzer, Farcot, Brook Van der Zee, Espath, A phase-field model for apoptotic cell death, preprint
  • H. Alsobhi, I. Brevis, D. Kalise, K.G. van der Zee, , preprint
  • Y. Fan, J. Billingham, K.G. van der Zee, , arXiv:2305.14254, 2023
  • M. ten Eikelder, K.G. van der Zee, D. Schillinger, , to appear, arXiv:2302.09287, 2023
  • K.G. VAN DER ZEE, S. PRUDHOMME, J.T. ODEN,
  • Publications at

Selected Publications

  • I. BREVIS, I. MUGA, D. PARDO, O. RODRIGUEZ and K.G. VAN DER ZEE, 2024. Computers & Mathematics with Applications. 164, 139-149
  • M.F.P. TEN EIKELDER, K.G. VAN DER ZEE and D. SCHILLINGER, 2024. Thermodynamically consistent diffuse-interface mixture models of incompressible multicomponent fluids Journal of Fluid Mechanics. (In Press.)
  • A. BOSCHMAN, L. ESPATH and K.G. VAN DER ZEE, 2024. A bulk-surface continuum theory for fluid flows and phase segregation with finite surface thickness Physica D: Nonlinear Phenomena. (In Press.)
  • I. BREVIS, I.M. MUGA and K.G. VAN DER ZEE, 2023. Computer Methods in Applied Mechanics and Engineering. (In Press.)
  • A. BOSCHMAN, L. ESPATH and K.G. VAN DER ZEE, 2024. A bulk-surface continuum theory for fluid flows and phase segregation with finite surface thickness Physica D: Nonlinear Phenomena. (In Press.)
  • M.F.P. TEN EIKELDER, K.G. VAN DER ZEE and D. SCHILLINGER, 2024. Thermodynamically consistent diffuse-interface mixture models of incompressible multicomponent fluids Journal of Fluid Mechanics. (In Press.)
  • I. BREVIS, I. MUGA, D. PARDO, O. RODRIGUEZ and K.G. VAN DER ZEE, 2024. Computers & Mathematics with Applications. 164, 139-149
  • I. BREVIS, I.M. MUGA and K.G. VAN DER ZEE, 2023. Computer Methods in Applied Mechanics and Engineering. (In Press.)
  • M.F.P. TEN EIKELDER, K.G. VAN DER ZEE, I. AKKERMAN and D. SCHILLINGER, 2023. Mathematical Models and Methods in Applied Sciences. (In Press.)
  • NINIC, J., VAN DER ZEE, K.G., ICARDI, M. and WANG, F., 2023. Engineering with Computers: An International Journal for Simulation-Based Engineering.
  • M. SFERZA, J. NINIC, F. GLOCK, C. HOFER, F. DAOUD, D. CHRONOPOULOS and K. VAN DER ZEE, 2023. Engineering with Computers: An International Journal for Simulation-Based Engineering. 39(6), 4167-4184
  • P. HOUSTON, S. ROGGENDORF and K.G. VAN DER ZEE, 2022. ESAIM Mathematical Modelling and Numerical Analysis. 56, 177-211
  • F. MILLAR, I. MUGA, S. ROJAS and K.G. VAN DER ZEE, 2022. Numerische Mathematik. (In Press.)
  • P. HOUSTON, C.J. ROURKE and K.G. VAN DER ZEE, 2022. SIAM Journal of Scientific Computing. (In Press.)
  • J. ZHANG, JOHN EVANS, H. GOMEZ and K. VAN DER ZEE, 2022. Engineering with Computers. 38, 1
  • IGNACIO BREVIS, IGNACIO MUGA and KRISTOFFER G VAN DER ZEE, 2021. Computers and Mathematics with Applications. 95, 186-199
  • LEE CURTIN, ANDREA HAWKINS-DAARUD, KRISTOFFER G VAN DER ZEE, KRISTIN R SWANSON and MARKUS R OWEN, 2020. Bulletin of Mathematical Biology. 82(3), 43
  • PAUL HOUSTON, SARAH ROGGENDORF and KRISTOFFER G VAN DER ZEE, 2020. Computers and Mathematics with Applications. 80(5), 851-873
  • LEE CURTIN, ANDREA HAWKINS-DAARUD, ALYX B. PORTER, KRISTOFFER G. VAN DER ZEE, MARKUS R. OWEN and KRISTIN R. SWANSON, 2020. Bulletin of Mathematical Biology. 82, 143
  • IGNACIO MUGA and KRISTOFFER G. VAN DER ZEE, 2020. SIAM Journal in Numerical Analysis. 58(6), 3406-3426
  • JUDITH MU脩OZ-MATUTE, VICTOR M CALO, DAVID PARDO, ELISABETE ALBERDI and KRISTOFFER G VAN DER ZEE, 2019. Computer Methods in Applied Mechanics and Engineering. 347, 176-200
  • CHRISTOPHER MILES, KRISTOFFER G VAN DER ZEE, MATTHEW E HUBBARD and RODERICK MACKENZIE, 2019. . In: E.H. VAN BRUMMELEN, A. CORSINI, S. PEROTTO and G. ROZZA, eds., Numerical Methods for Flows: FEF 2017 Selected Contributions. Lecture Notes in Computational Science and Engineering https://www.springer.com/gp/book/9783030307042 132. Springer.
  • P. HOUSTON, I. MUGA, S. ROGGENDORF and K.G. VAN DER ZEE, 2019. Computational Methods in Applied Mathematics. 19(3), 503-522
  • I. MUGA, M.J.W. TYLER and K.G. VAN DER ZEE, 2019. Computational Methods in Applied Mathematics. 19(3), 557-579
  • R. DYJA, B. GANAPATHYSUBRAMANIAN and K.G. VAN DER ZEE, 2018. SIAM Journal on Scientific Computing: Software and High-Performance Computing. 40(3), 颁283鈥揅304
  • M. SHOKRPOUR-ROUDBARI, G. SIMSEK, E.H VAN BRUMMELEN and K.G. VAN DER ZEE, 2018. Mathematical Models and Methods in Applied Sciences. 28(4), 733鈥�770
  • X. WU, K.G. VAN DER ZEE, G. SIMSEK and E.H. VAN BRUMMELEN, 2018. SIAM Journal on Scientific Computing: Methods and Algorithms for Scientic Computing. 40(5), A3371-A3399
  • E.H. VAN BRUMMELEN, M. SHOKRPOUR ROUDBARI, G. SIMSEK and K.G. VAN DER ZEE, 2017. . In: Fluid-Structure Interaction: Modeling, Adaptive Discretisations and Solvers De Gruyter, Vol 20 of Radon Series on Computational and Applied Mathematics.
  • H. GOMEZ and K.G. VAN DER ZEE, 2017. . In: E. STEIN, R. DE BORST and T.J.R. HUGHES, eds., Encyclopedia of Computational Mechanics, 2nd Edition: Wiley, https://onlinelibrary.wiley.com/doi/book/10.1002/9781119176817
  • M. FEISCHL, D. PRAETORIUS and K.G. VAN DER ZEE, 2016. SIAM Journal of Numerical Analysis. 54(3), 1423-1448
  • I. MUGA and K.G. VAN DER ZEE, 2016. Oberwolfach Reports. 13(3), 2562-2564
  • D. HILHORST, J. KAMPMANN, T.N. NGUYEN and K.G. VAN DER ZEE, 2015. Mathematical Models and Methods in Applied Sciences. 25(6), 1011-1044
  • G. SIMSEK, X. WU, K.G. VAN DER ZEE and E.H. VAN BRUMMELEN, 2015. Computer Methods in Applied Mechanics and Engineering. 288, 83-109
  • M. LAFOREST, S. PRUDHOMME and K.G. VAN DER ZEE, 2015. Computer Methods in Applied Mechanics and Engineering. 288, 1
  • WU, X., VAN ZWIETEN, G. J. and VAN DER ZEE, K. G., 2014. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING. 30(2), 180-203
  • G. KURU, C.V. VERHOOSEL, K.G. VAN DER ZEE and E.H. VAN BRUMMELEN, 2014. Computer Methods in Applied Mechanics and Engineering. 270, 270-292
  • G.J. VAN ZWIETEN, E.H. VAN BRUMMELEN, K.G. VAN DER ZEE, M.A. GUTI脡RREZ and R.F. HANSSEN, 2014. Computer Methods in Applied Mechanics and Engineering. 271, 144-166
  • GARG, V.V., PRUDHOMME,. S., VAN DER ZEE, K.G. and CAREY, G.F., 2014. Advanced Modeling and Simulation in Engineering Sciences. 2, 15
  • A. HAWKINS-DAARUD, J.T. ODEN, S. PRUDHOMME and K.G. VAN DER ZEE, 2014. Oberwolfach Reports. 11(3), 2424-2426
  • HAWKINS-DAARUD, A., PRUDHOMME, S., VAN DER ZEE, K. G. and ODEN, J.T., 2013. JOURNAL OF MATHEMATICAL BIOLOGY. 67(6-7), 1457-1485
  • VAN DER ZEE, K. G., VAN ZWIETEN, G. J., VERHOOSEL, C. V. and VAN BRUMMELEN, E. H., 2013. . In: ECA, L., ONATE, E., GARCIA-ESPINOSA, J. and KVAMSDAL, T., eds., MARINE 2011, IV International Conference on Computational Methods in Marine Engineering: Selected Papers 29. Springer Netherlands. 85-102
  • VAN BRUMMELEN, E. H., VAN DER ZEE, K. G., GARG, V. V. and PRUDHOMME, S., 2012. JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME. 79(1),
  • HAWKINS-DAARUD, A., VAN DER ZEE, K. G. and ODEN, J. T., 2012. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING. 28(1), 3-24
  • VAN DER ZEE, K. G. and VERHOOSEL, C. V., 2011. FINITE ELEMENTS IN ANALYSIS AND DESIGN. 47(6), 600-609
  • VAN DER ZEE, K.G., VAN BRUMMELEN, E.H., AKKERMAN, I. and DE BORST, R., 2011. Computer Methods in Applied Mechanics and Engineering. 200(37-40), 2738-2757
  • VAN DER ZEE, K.G., ODEN, J.T., PRUDHOMME, S. and HAWKINS-DAARUD, A., 2011. Numerical Methods for Partial Differential Equations. 27(1), 160-196
  • AKKERMAN, I., HULSHOFF, S. J., VAN DER ZEE, K. G. and DE BORST, R., 2011. . In: DE BORST, R. and RAMM, R., eds., Multiscale Methods in Computational Mechanics: Progress and Accomplishments 55. Springer Netherlands. 53-73
  • VAN DER ZEE, K.G., VAN BRUMMELEN, E.H. and DE BORST, R., 2010. SIAM Journal on Scientific Computing. 32(2), 1064-1092
  • AKKERMAN, I., VAN DER ZEE, K. G. and HULSHOFF, S. J., 2010. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. 199(9-12), 502-513
  • VAN DER ZEE, K. G., VAN BRUMMELEN, E. H. and DE BORST, R., 2010. SIAM JOURNAL ON SCIENTIFIC COMPUTING. 32(2), 1093-1118
  • FICK, P. W., VAN BRUMMELEN, E. H. and VAN DER ZEE, K. G., 2010. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. 199(49-52), 3369-3385
  • VAN DER ZEE, K. G., VAN BRUMMELEN, E. H. and DE BORST, R., 2008. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS. 56(8), 1551-1557
  • VAN BRUMMELEN, E.H., VAN DER ZEE, K.G. and DE BORST, R., 2008. Applied Numerical Mathematics. 58(12), 1951-1971
  • VAN DER ZEE, K. G., VAN BRUMMELEN, E. H. and DE BORST, R., 2006. SIAM JOURNAL ON NUMERICAL ANALYSIS. 44(6), 2671-2698
  • FARHAT, C., VAN DER ZEE, K. G. and GEUZAINE, P., 2006. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. 195(17-18), 1973-2001

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