If you are intersted in a paper that is not available from this site, please send me an email.
T. Schorlepp, S. Tong, T. Grafke and G. Stadler, Scalable Methods for Computing Sharp Extreme Event Probabilities in Infinite-Dimensional Stochastic Systems, [arXiv:2303.11919]
T. Hartland, G. Stadler, M. Perego, K. Liegeois and N. Petra, Hierarchical off-diagonal low-rank approximation of Hessians in inverse problems, with application to ice sheet model initializaiton, [arXiv:2301.03644]
L. Holbach, M. Gurnis and G. Stadler, A Bayesian Level Set Method for Identifying SubsurfaceGeometries and Rheological Properties in Stokes Flow, [eartharXiv:4925]
H. Dinh, D. Giannakis, J. Slawinska, G. Stadler: Phase-field Models of Floe Fracture in Sea Ice, 2022, [ EGUsphere ]
M. Dunlop and G. Stadler, A gradient-free subspace-adjusting ensemble sampler for infinite-dimensional Bayesian inverse problems, 2022, [ arXiv:2202.11088 ]
S. Tong, G. Stadler, Large deviation theory-based adaptive importance sampling for rare events in high dimensions, SIAM/ASA Journal on Uncertainty Quantification, to appear, 2023 [ arXiv:2209.06278 ]
Y. Shih, C. Mehlmann, M. Losch, G. Stadler, Robust and efficient primal-dual Newton-Krylov solvers for viscous-plastic sea-ice models, Journal of Computational Physics, to appear [arXiv:2204.10822]
S. Tong, E. Vanden-Eijnden, G. Stadler, Estimating earthquake-induced tsunami height probabilities without sampling, Pure and Applied Geophysics, to appear, 2023 [arXiv:2111.14325]
A. Giuliani, F. Wechsung, A. Cerfon, M. Landreman, G. Stadler, Direct stellarator coil optimization for nested magnetic surfaces with precise quasisymmetry, Physics of Plasmas, 30, 042511, 2023, [ arXiv:2210.03248 ]
F. Wechsung, M. Landreman, A. Giuliani, A. Cerfon and G. Stadler, Precise stellarator quasi-symmetry can be achieved with electromagnetic coils, Proceedings of the National Academy of Sciences, 119(3), 2022, [ PNAS ]
Y. Shih, G. Stadler and F. Wechsung, Robust multigrid techniques for augmented Lagrangian preconditioning of incompressible Stokes equations with extreme viscosity variations, SIAM Journal on Scientific Computing, 2022, [arXiv:2107.00820 | SISC ]
A. Giuliani, F. Wechsung, M. Landreman, G. Stadler, A. Cerfon, Direct computation of magnetic surfaces in Boozer coordinates and coil optimization for quasi-symmetry, Journal of Plasma Physics, 88(4), 905880401, 2022 [ arXiv:2202.11088 | JPP ]
J. Rudi, M. Gurnis and G. Stadler, Simultaneous inference of plate boundary stresses and mantle rheology using adjoints: Large-scale two-dimensional models, Geophysical Journal International, 231 (1), pp 597-614, 2022 [eartharXiv:10.31223 | GJI ]
C. Li, M. Dunlop, G. Stadler, Bayesian neural network priors for edge-preserving inversion, Inverse Problems and Imaging, 2022, [ arXiv:2112.10663|link ]
F. Wechsung, A. Giuliani, M. Landreman, A. Cerfon, G. Stadler, Stochastic and a posteriori optimization to mitigate coil manufacturing errors in stellarator design, Plasma Physics and Controlled Fusion, to appear [ arXiv:2203.10164 | PPCF ].
F. Wechsung, A. Giuliani, M. Landreman, A. Cerfon and G. Stadler, Single-stage gradient-based stellarator coil design: stochastic optimization, Nuclear Fusion 62(7), 2022, [arXiv:2106.12137|NF]
A. Giuliani, F. Wechsung, A. Cerfon, G. Stadler, M. Landreman, Single-stage gradient-based stellarator coil design: Optimization for near-axis quasi-symmetry, Journal of Computational Physics 459, 2022, [arXiv:2010:02033|JCP]
S. Mukerjee, T. Yang, G. Stadler and S. Gonzalez-Bailon, What Counts as a Weak Tie? A Comparison of Filtering Techniques to Analyze Co-Exposure to News, Social Networks, 68, 386-393, 2022 [ SSRN | SN ]
J. Hu, M. Gurnis, J. Rudi, G. Stadler, R. D. Müller, Dynamics of the abrupt change in Pacific Plate motion around 50 Ma, Nature Geoscience 15, 75-78, 2022 [NatureGeo].
Optimization and Control for Partial Differential Equations: Uncertainty quantification, open and closed-loop control, and shape optimization, De Gruyter, Edited by R. Herzog, M. Heinkenschloss, D. Kalise, G. Stadler and E. Trelat, 2022. [ DeGruyter]
B. F. Lee, E. J. Paul, G. Stadler, M. Landreman, Stellarator coil optimization supporting multiple magnetic configurations, Nuclear Fusion, 63, 014002, 2022, [ arXiv:2208.01096 | NF ]
S. Tong, E. Vanden-Eijnden, G. Stadler, Extreme event probability estimation using PDE-constrained optimization and large deviation theory, with application to tsunamis, Communications in Applied Mathematics and Computational Science, 16(2), pp 181-225, 2021, [ arXiv:2007:13930, CAMCOS]
A. Alexanderian, N. Petra, G. Stadler, I. Sunseri, Optimal design of large-scale Bayesian linear inverse problems under reducible model uncertainty: good to know what you dont know, SIAM/ASA Journal on Uncertainty Quantification 9(1), 163-184, 2021 [ arXiv:2006.11939 | SIUQ ]
J. Rudi, Y. Shih and G. Stadler, Advanced Newton methods for geodynamical models of Stokes flow with viscoplastic rheologies, Geochemistry, Geophysics Geosystems, 21(9), 2020, [ arXiv:2003.11115 | Gcubed link ]
I. Ambartsumyan, W. Boukaram, T. Bui-Thanh, O. Ghattas, D. Keyes, G. Stadler, G. Turkiyyah and S. Zampini, Hierarchical matrix approximations of Hessians arising in inverse problems governed by PDEs, SIAM Journal on Scientific Computing 42(5), A3397-A3426, 2020. [ arXiv:2003.10173 | SISC link ]
A. Carpio, S. Iakunin and G. Stadler, Bayesian approach to inverse scattering with topological priors, Inverse Problems 36(10), 2020 [ arXiv:2003:09318 | IP link]
K. Koval, A. Alexanderian and G. Stadler, Optimal experimental design under irreducible uncertainty for inverse problems governed by PDEs, Inverse Problems 36(7), 2020 [ arXiv:1912:08915 | IP link ]
L. Lu, M. Morse, A. Rahimian, G. Stadler and D. Zorin, Scalable Simulation of Realistic Volume Fraction Red Blood Cell Flows through Vascular Networks, in ACM/IEEE Supercomputing SC19, 2019. [ arXiv:1909.11085 | SC link]
C. Li and G. Stadler, Sparse solutions in optimal control of PDEs with uncertain parameters: the linear case, SIAM Journal on Control and Optimization 57(1), pp. 633-658, 2019. [arXiv:1804.05678 | Sicon link]
L. Mertz, G. Stadler, J. Wylie, A Feynman-Kac formula approach for computing expectations and threshold crossing probabilities of non-smooth stochastic dynamical systems, Physica D: Nonlinear Phenomena, 397, pp 25-38, 2019. [arXiv:1704.02170 | link]
B. Crestel, G. Stadler and O. Ghattas, A comparative study of structural similarity and regularization for joint inverse problems governed by PDEs, Inverse Problems 35(2) 2018. [arXiv:1808.05441 | link]
Y. Daon and G. Stadler, Mitigating the Influence of the Boundary on PDE-based Covariance Operators, Inverse Problems and Imaging 12(5), pp 1083-1102, 2018. [arXiv:1610.05280 | link]
B. Crestel, A. Alexanderian, G. Stadler and O. Ghattas, A-optimal encoding weights for nonlinear inverse problems, with applications to the Helmholtz inverse problem, Inverse Problems, 33(7), 2017. [arXiv:1612.02358 | link]
D. Li, M. Gurnis and G. Stadler, Towards adjoint-based inversion of time-dependent mantle convection with non-linear viscosity, Geophysical Journal International 209(1), pp. 86-105. [link], 2017.
J. Rudi, G. Stadler and O. Ghattas, Weighted BFBT Preconditioner for Stokes Flow Problems with Highly Heterogeneous Viscosity, SIAM Journal on Scientific Computing, 39(5), pp. 272–297, 2017. [arXiv:1607.03936 | link]
A. Alexanderian, N. Petra, G. Stadler and O. Ghattas: Mean-variance risk-averse optimal control of systems governed by PDEs with random parameter fields using quadratic approximations, SIAM/ASA Journal on Uncertainty Quantification, 5(1), pp. 1166-1192, 2017. [arXiv:1602.07592 | link]
H. Zhu, N. Petra, G. Stadler, T. Isaac, T. J. R. Hughes, O. Ghattas. Inversion of geothermal heat flux in a thermomechanically coupled nonlinear Stokes ice sheet model. The Cryosphere, 10, 1477-1494, (2016). [link].
H. Zhu, S. Li, S. Fomel, G. Stadler and O. Ghattas. A Bayesian approach to estimate uncertainty for full waveform inversion with a priori information from depth migration, Geophysics, 81(5), pp. R307-R323, (2016). [link].
A. Alexanderian, N. Petra, G. Stadler and O. Ghattas: A fast and scalable method for A-optimal design of experiments for infinite-dimensional Bayesian nonlinear inverse problems, SIAM Journal on Scientific Computing, 38(1), A243-A272 (2016). [link | arXiv:1410.5899]
J. Rudi, A. C. I. Malossi, T. Isaac, G. Stadler, M. Gurnis, P. Staar, Y. Ineichen, C. Bekas, A. Curioni, O. Ghattas: An Extreme-Scale Implicit Solver for Complex PDEs: Highly Heterogeneous Flow in Earth’s Mantle, ACM/IEEE Supercomputing SC15, (2015), [ link ], Gordon Bell Prize.
T. Isaac, G. Stadler and O. Ghattas: Solution of nonlinear Stokes equations discretized by high-order finite elements on nonconforming and anisotropic meshes, with application to ice sheet dynamics, SIAM Journal on Scientific Computing, 37(6), pp. B804-B833, (2015). [link | arXiv:1406.6573]
T. Isaac, N. Petra, G. Stadler and O. Ghattas: Scalable and efficient algorithms for the propagation of uncertainty from data through inference to prediction for large-scale problems, with application to flow of the Antarctic ice sheet, Journal of Computational Physics 296, pp. 348-368 (2015). [link | arXiv:1410.1221]
H. Sundar, G. Stadler and G. Biros: Comparison of multigrid algorithms for high-order continuous finite element discretizations, Numerical Linear Algebra with Applications, 22(4), pp. 664-680, (2015). [arXiv:1402.5938 | link]. The corresponding Matlab implementation HoMG is available from Github.
L. C. Wilcox, G. Stadler, T. Bui-Thanh and O. Ghattas: Discretely exact derivatives for hyperbolic PDE-constrained optimization problems discretized by the discontinuous Galerkin method, Journal of Scientific Computing, 63(1), pp. 138-162, (2015). [arXiv:1311.6900 | link ]
V. Ratnaswamy, G. Stadler and M. Gurnis: Adjoint-based estimation of plate coupling in a non-linear mantle flow model: theory and examples, Geophysical Journal International, 202(2), pp. 768-786, (2015). [ link ]
M. Perego, S. Price and G. Stadler: Optimal initial conditions for coupling ice sheet models to earth science models, Journal of Geophysical Research: Earth Surface, 119(9), pp. 1894-1917, (2014) [ JGR link ].
J. C. De los Reyes and G. Stadler: A nonsmooth model for discontinuous shear thickening fluids: analysis and numerical solution, Interfaces and Free Boundaries, 16(4), pp. 575-602, (2014) [ link pdf ].
A. Alexanderian, N. Petra, G. Stadler and O. Ghattas: A-optimal design of experiments for infinite-dimensional Bayesian linear inverse problems with regularized l_0-sparsification, SIAM Journal on Scientific Computing, 36(5), pp. A2122-2148, (2014). [SISC link | arXiv:1308.4084]
N. Petra, J. Martin, G. Stadler and O. Ghattas: A computational framework for infinite-dimensional Bayesian inverse problems Part II: Stochastic Newton MCMC with application to ice sheet flow inverse problems, SIAM Journal on Scientific Computing, 36(4), pp. A1525-1555 (2014). [ SISC link | arXiv:1308.6221]
J. Worthen, G. Stadler, N. Petra, M. Gurnis and O. Ghattas: Towards adjoint-based inversion for rheological parameters in nonlinear viscous mantle flow, Physics of the Earth and Planatery Interiors, 234, 23-34 (2014). [ PEPI link ]
M. Hesse and G. Stadler: Joint inversion in coupled quasistatic poroelasticity, Journal of Geophysical Research: Solid Earth, 103, No. 2, 1425-1445. [ link ].
T. Bui-Thanh, O. Ghattas, J. Martin, and G. Stadler: A computational framework for infinite-dimensional Bayesian problems Part I: The linearized case, with applications to global seismic inversion, SIAM Journal on Scientific Computing, 35(6), A2494-2523, (2013). [ link | pdf | arXiv:1308.1313]
C. Burstedde, G. Stadler, L. Alisic, L. C. Wilcox, E. Tan, M. Gurnis, and O. Ghattas: Large-scale adaptive mantle convection simulations, Geophysical Journal International, 103 No. 3, pp. 889-906, (2013) [ link ].
T. Bui-Thanh, C. Burstedde, O. Ghattas, J. Martin, G. Stadler and L. C. Wilcox: Extreme-scale UQ for Bayesian inverse problems governed by PDEs, ACM/IEEE Supercomputing SC12, (2012), [ link ], Gordon Bell Prize Finalist.
H. Sundar, G. Biros, C. Burstedde, J. Rudi, O. Ghattas and G. Stadler: Parallel geometric-algebraic multigrid on unstructured forsts of octrees, ACM/IEEE Supercomputing SC12, (2012) [ link ]
L. Alisic, M. Gurnis, G. Stadler, C. Burstedde and O. Ghattas: Multi-scale dynamics and rheology of mantle flow with plates, Journal of Geophysical Research, 117, B10402 (2012) [ link ]
N. Petra, H. Zhu, G. Stadler, T. J. R. Hughes and O. Ghattas: An inexact Gauss-Newton method for inversion of basal sliding and rheology parameters in a nonlinear Stokes ice sheet model, Journal of Glaciology, 58, No. 211, (2012), [ link | pdf ]
R. Herzog, G. Stadler and G. Wachsmuth: Directional sparsity in optimal control of partial differential equations, SIAM Journal on Control and Optimization, 50, pp. 943-963, (2012), [ link | pdf ]. Please not the following ERRATUM: R. Herzog, G. Stadler and G. Wachsmuth: Erratum: Directional Sparsity In Optimal Control of Partial Differential Equations, SIAM Journal on Control and Optimization, 53(4), pp. 2722-2723, (2015), [ link ].
S. Yang, G. Stadler, R. Moser and O. Ghattas: A shape Hessian-based boundary roughness analysis of Navier-Stokes flow, SIAM Journal on Applied Mathematics, 71, Nr. 1, pp. 333-355, (2011). [ link | pdf ]
G. Stadler, C. Burstedde and M. Gurnis: Plattentektonik im Supercomputer, Spektrum der Wissenschaft, pp. 12-14, (April 2011).
N. Petra, G. Stadler: Model variational inverse problems governed by partial differential equations, ICES Report No. 11-05, The Institute for Computational Engineering and Sciences, The University of Texas at Austin, (2011). [ pdf | code ]
L.C. Wilcox, G. Stadler, C. Burstedde and O. Ghattas: A high-order discontinuous Galerkin method for wave propagation through coupled elastic-acoustic media, Journal of Computational Physics, 229, Nr. 24, pp. 9373-9396, (2010). [ pdf | link ]
G. Stadler, M. Gurnis, C. Burstedde, L. C. Wilcox, L. Alisic and O. Ghattas: The Dynamics of Plate Tectonics and Mantle Flow: From Local to Global Scales, Science, 27 August 2010, 329, No. 5995, pp. 1033-1038 (2010). [ link | Supporting Online Material | Perspectives | CoS ]
C. Burstedde, O. Ghattas, M. Gurnis, T. Isaac, G. Stadler, T. Warburton, and L. C. Wilcox: Extreme-scale AMR, ACM/IEEE Supercomputing SC10 (2010), Gordon Bell Prize Finalist, 2010. [ link ]
L. Alisic, M. Gurnis, G. Stadler, C. Burstedde, L.C. Wilcox and O. Ghattas: Slab Stress and Strain Rate as Constraints on Global Mantle Flow, Geophysical Research Letters, 37, L22308 (2010). [ link ]
I. Figueiredo, P. Figueiredo, G. Stadler, O. Ghattas, and A. Araujo: Variational image segmentation for endoscopic human colonic aberrant crypt foci, IEEE Transactions on Medical Imaging, 29, Nr. 4, pp. 998-1011 (2010).
G. Stadler: Elliptic optimal control problems with L1-control cost and applications for the placement of control devices, Computational Optimization and Applications, 44, Nr. 2, pp. 159-181, (2009). [ pdf | link ] Errata: The proof for Theorem 4.3 in the original publication is not correct. Please find the corrected proof here [ pdf ].
C. Burstedde, O. Ghattas, G. Stadler, T. Tu and L. C. Wilcox: Parallel scalable adjoint-based adaptive solution for variable-viscosity Stokes flows, Computer Methods Applied Mechanics and Engineering, 198, Nr. 21-26, pp. 1691-1700 (2009). [ link ]
S.L. Keeling, G. Propst, G. Stadler and W. Wackernagel: A mathematical model of the deformation of the eyeball by an elastic band, Mathematical Medicine and Biology, 26 Nr. 2 (2009). [ link ]
C. Burstedde, M. Burtscher, O. Ghattas, G. Stadler, T. Tu and L. C. Wilcox: ALPS: A framework for parallel adaptive PDE solution, Journal of Physics: Conference Series, 180, Issue 1, pp. 012009 (2009). [ link ]
I. N. Figueiredo and G. Stadler: Frictional contact of an anisotropic piezoelectric plate, ESAIM: Control, Optimization and Calculus of Variations, 15, pp. 149-172 (2009) [ pdf | link ]
C. Burstedde, O. Ghattas, M. Gurnis, G. Stadler, E. Tan, T. Tu, L. C. Wilcox, and S. Zhong: Scalable adaptive mantle convection simulation on petascale supercomputers, ACM/IEEE proceedings of SC08, 2008. Gordon Bell Prize finalist. [ link | pdf ]
C. Burstedde, O. Ghattas, G. Stadler, T. Tu and L. C. Wilcox: Towards Adaptive Mesh PDE Simulations on Petascale Computers, in Proceedings of Teragrid ‘08. [ pdf ] Winning paper of NSF Capability Computing Challenge.
S. Hueeber, G. Stadler and B. I. Wohlmuth: A primal-dual active set algorithm for three-dimensional contact problems with Coulomb friction, SIAM Journal on Scientific Computing, 30 Nr. 2, pp. 572-596 (2008) [ pdf | link ]
A. Araujo, D. Comissiong and G. Stadler: Numerical experiments for segmenting medical images using level sets, In Computational Vision and Medical Image Processing, Taylor & Francis Group, pp. 91-96 (2008).
G. Stadler: Path-following and augmented Lagrangian methods for contact problems in linear elasticity, Journal of Computational and Applied Mathematics 203, Nr. 2, 533-547 (2007). [ pdf | link ]
L. Costa, I. Figueiredo, R. Leal, P. Oliveira and G. Stadler: Modeling and numerical study of actuator and sensor effects for a laminated piezoelectric plate, Computers and Structures 85, Nr. 7-8 pp. 385-403 (2007).
M. Hintermüller and G. Stadler: An infeasible primal-dual algorithm for TV-based inf-convolution-type image restoration, SIAM Journal on Scientific Computing, 28, Nr.1, pp. 1-23 (2006). [ pdf | link ]
G. Stadler, T. Steiner, J. Beiglböck: A practical map labeling algorithm utilizing mor phological image processing and force-directed methods, Cartography and Geographic Information Science, 33, Nr. 3, 207-215 (2006).
K. Kunisch and G. Stadler: Generalized Newton methods for the 2D-Signorini contact problem with friction in function space, Mathematical Modelling and Numerical Analysis, 39, Nr. 4, pp. 827-854 (2005). [ link ]
U. Hohenester and G. Stadler: Optimal quantum control in electron-phonon scatterings in artificial atoms, Physica E, 29, pp. 320-324 (2005).
Hohenester and G. Stadler: Quantum control of electron-phonon scatterings in artificial atoms, Physical Review Letters, 92, 196801 (2004). [ link ]
G. Stadler: Semismooth Newton and Augmented Lagrangian methods for a simplified friction problem, SIAM Journal on Optimization, 15, Nr.1 pp. 39-62 (2004). [ pdf | link ]
M. Hintermüller and G. Stadler: A semi-smooth Newton method for constrained linear-quadratic control problems, Zeitschrift fuer angewandte Mathematik und Mechanik (ZAMM), 83, Nr. 4, 219-237 (2003).
A. Borzi, G. Stadler and U. Hohenester: Optimal quantum control in nanostructures: Theory and application to a generic three-level system, Physical Review A, 66 053811 (2002).
G. Stadler: Infinite-Dimensional Semi-Smooth Newton and Augmented Lagrangian Methods for Friction and Contact Problems in Elasticity, PhD thesis, University of Graz, 2004. [ link ]
G. Stadler: Beschränkte linear-quadratische Optimalsteuerprozesse und eine primal-duale Strategie zur Lösung, Master thesis, University of Graz, 2001.