Scientific Articles in Journals | |
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• | Thomas Apel, Johannes Pfefferer, Sergej Rogovs, Max Winkler: Maximum norm error estimates for Neumann boundary value problems on graded meshes IMA Journal of Numerical Analysis, 40(1), pp. 474-497, Preprint arXiv: 1804.10904, 2020. |
• | Dominik Hafemeyer, Christian Kahle, Johannes Pfefferer: Finite element error estimates in L2 for regularized discrete approximations to the obstacle problem Numerische Mathematik, 144(1), pp. 133–156, 2020. (doi:10.1007/s00211-019-01081-3) |
• | Johannes Pfefferer, Max Winkler: Finite element error estimates for normal derivatives on boundary concentrated meshes SIAM Journal on Numerical Analysis, 57(5), pp. 2043-2073, 2019. (doi:10.1137/18M1181341) |
• | Harbir Antil, Johannes Pfefferer, Sergejs Rogovs: Fractional Operators with Inhomogeneous Boundary Conditions: Analysis, Control, and Discretization Communications in Mathematical Sciences, 16(5), pp. 1395-1426, 2018. (doi:10.4310/CMS.2018.v16.n5.a11) |
• | Thomas Apel, Mariano Mateos, Johannes Pfefferer, Arnd Rösch: Error estimates for Dirichlet control problems in polygonal domains: Quasi uniform meshes Mathematical Control & Related Fields, 8(1), pp. 217-245, 2018. (doi:10.3934/mcrf.2018010) |
• | Dominik Meidner, Johannes Pfefferer, Klemens Schürholz, Boris Vexler: hp-Finite Elements for Fractional Diffusion SIAM Journal on Numerical Analysis 56(4), pp. 2345–2374, 2018. (doi:10.1137/17M1135517) |
• | Harbir Antil, Johannes Pfefferer, Mahamadi Warma: A note on semilinear fractional elliptic equation: analysis and discretization ESAIM: Mathematical Modelling and Numerical Analysis, 51(6), pp. 2049-2067, 2017. (doi:10.1051/m2an/2017023) |
• | Thomas Apel, Johannes Pfefferer, Max Winkler: Error estimates for the postprocessing approach applied to Neumann boundary control problems in polyhedral domains IMA Journal of Numerical Analysis, 38(4) pp. 1984-2025, 2017. (doi:10.1093/imanum/drx059) |
• | Thomas Apel, Serge Nicaise, Johannes Pfefferer: Adapted numerical methods for the Poisson equation with L2 boundary data in nonconvex domains SIAM Journal on Numerical Analysis, 55(4), pp. 1937-1957, 2017. |
• | Thomas Apel, Serge Nicaise, Johannes Pfefferer: Discretization of the Poisson equation with non-smooth data and emphasis on non-convex domains Numer Methods Partial Differential Equations 32(5), pp. 1433-1454, 2016. (doi:10.1002/num.22057) |
• | Thomas Apel, Mariano Mateos, Johannes Pfefferer, Arnd Rösch: On the regularity of the solutions of Dirichlet optimal control problems in polygonal domains SIAM Journal on Control and Optimization 53(6), pp. 3620-3641, 2015. (doi:10.1137/140994186) |
• | Ira Neitzel, Johannes Pfefferer, Arnd Rösch: Finite element discretization of state-constrained elliptic optimal control problems with semilinear state equation SIAM Journal on Control and Optimization, 53(2), pp. 874-904, 2015. (doi:10.1137/140960645) |
• | Thomas Apel, Johannes Pfefferer, Max Winkler: Local Mesh Refinement for the Discretisation of Neumann Boundary Control Problems on Polyhedra Mathematical Methods in the Applied Sciences, 39(5), pp. 1206-1232, 2015. (doi:10.1002/mma.3566) |
• | Klaus Krumbiegel, Johannes Pfefferer: Superconvergence for Neumann boundary control problems governed by semilinear elliptic equations Computational Optimization and Applications 61(2), pp. 373-408, 2015. (doi:10.1007/s10589-014-9718-0) |
• | Thomas Apel, Johannes Pfefferer, Arnd Rösch: Finite element error estimates on the boundary with application to optimal control Mathematics of Computation 84, pp. 33-70, 2015. (doi:10.1090/S0025-5718-2014-02862-7) |
• | Thomas Apel, Serge Nicaise, Johannes Pfefferer: A dual singular complement method for the numerical solution of the Poisson equation with L2 boundary data in non-convex domains Preprint arXiv: 1505.00414, 2015. |
• | Thomas Apel, Johannes Pfefferer, Arnd Rösch: Finite Element Error Estimates for Neumann Boundary Control Problems on Graded Meshes Computational Optimization and Applications 52(1), pp. 3-28, 2012. (doi:10.1007/s10589-011-9427-x) |
Scientific Articles in Proceedings | |
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• | Thomas Apel, Mariano Mateos, Johannes Pfefferer, Arnd Rösch: Superconvergent graded meshes for an elliptic Dirichlet control problem. Advanced Finite Element Methods with Applications - Proceedings of the 30th Chemnitz FEM Symposium 2017, accepted, 2018. |
• | Thomas Apel, Johannes Pfefferer, Arnd Rösch: Locally refined meshes in optimal control for elliptic partial differential equations - an overview. Trends in PDE Constrained Optimization: Günter Leugering, Peter Benner, Sebastian Engell, Andreas Griewank, Helmut Harbrecht, Michael Hinze, Rolf Rannacher, Stefan Ulbrich (ed.), Springer Verlag, Basel, 2014. (doi:10.1007/978-3-319-05083-6_18) |
Technical Reports and Internal Research Reports | |
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• | H. Antil, J. Pfefferer: A short Matlab implementation of fractional Poisson equation with nonzero boundary conditions. Technical Report, 2017. (Code) |
• | H.-D. Ließ, F. Loos, J. Pfefferer: Berechnung der Erwärmung von Leiterbahnen. Interner Forschungsbericht, 2010. |
• | H.-D. Ließ, J. Pfefferer: Widerstandsverlauf beim Trennen eines Flachleiters. Interner Forschungsbericht, 2009. |
PhD and Diploma Theses | |
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• | Numerical analysis for elliptic Neumann boundary control problems on polygonal domains PhD Thesis, Universität der Bundeswehr München, 2014. (urn:nbn:de:bvb:706-3624) |
• | Efficient recursive Formulation of Optimal Control Problems for Industrial Manipulators Diploma Thesis, Technische Universität München, 2007. |
Poster | |
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• | Finite element error estimates for boundary control problems 6th Singular Days 2010, Berlin, 2010 |
• | Dirichlet boundary control problems: finite element discretization and error estimates FEM-Symposium, Chemnitz, 2012 |