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### Recent

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 ]

### 2022

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 Fusion62(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 Physics459, 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 Geoscience15, 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 ]

### 2021

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 Quantification9(1), 163-184, 2021 [ arXiv:2006.11939 | SIUQ ]

### 2020

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 Computing42(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 Problems36(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 Problems36(7), 2020 [ arXiv:1912:08915 | IP link ]

### 2019

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 Optimization57(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]

### 2018

B. Crestel, G. Stadler and O. Ghattas, A comparative study of structural similarity and regularization for joint inverse problems governed by PDEs,

Inverse Problems35(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 Imaging12(5), pp 1083-1102, 2018. [arXiv:1610.05280 | link]

### 2017

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 International209(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]

### 2016

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]

### 2015

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 Physics296, 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 implementationHoMGis 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 ]

### 2014

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 ].

### 2013

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 ].

### 2012

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 ].

### 2011

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 ]

### 2010

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).

### 2009

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 ]

### 2008

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, inProceedings 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, InComputational Vision and Medical Image Processing, Taylor & Francis Group, pp. 91-96 (2008).

### 2007

G. Stadler:

Path-following and augmented Lagrangian methods for contact problems in linear elasticity,Journal of Computational and Applied Mathematics203, 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 Structures85, Nr. 7-8 pp. 385-403 (2007).

### 2006

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).

### 2005

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).

### 2002-2004

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).

# Theses

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.St.G. Stadler:

Beschränkte linear-quadratische Optimalsteuerprozesse und eine primal-duale Strategie zur Lösung,Master thesis, University of Graz, 2001.