Preprints
[all]   [unpublished]

Year Authors Title Link
2022 M. Brunner, P. Heid, M. Innerberger, A. Miraci, D. Praetorius, J. Streitberger Adaptive FEM with quasi-optimal overall cost for nonsymmetric linear elliptic PDEs arXiv:2212.00353
2022 R. Becker, M. Brunner, M. Innerberger, J.M. Melenk, D.Praetorius Cost-optimal adaptive iterative linearized FEM for semilinear elliptic PDEs arXiv:2211.04123
2022 M. Innerberger, A. Miraci, D. Praetorius, J. Streitberger Optimal computational costs of AFEM with optimal local hp-robust multigrid solver arXiv:2210.10415
2022 V. Helml, M. Innerberger, D. Praetorius Plain convergence of goal-oriented adaptive FEM arXiv:2208.10143
2022 A. Bespalov, D. Praetorius, M. Ruggeri Goal-oriented adaptive multilevel stochastic Galerkin FEM arXiv:2208.09388
2022 G. Di Fratta, C.-M. Pfeiler, D. Praetorius, M. Ruggeri The mass-lumped midpoint scheme for computational micromagnetics: Newton linearization and application to magnetic skyrmion dynamics [published]
arXiv:2203.06445
2022 M. Innerberger, D. Praetorius MooAFEM: An object oriented Matlab code for higher-order (nonlinear) adaptive FEM [published]
arXiv:2203.01845
2022 G. Gantner, D. Praetorius, S. Schimanko Stable implementation of adaptive IGABEM in 2D in Matlab [published]
arXiv:2203.00394
2022 R. Becker, M. Brunner, M. Innerberger, J.M. Melenk, D.Praetorius Goal-oriented adaptive finite element method for semilinear elliptic PDEs [published]
arXiv:2112.06687
2021 R. Becker, M. Brunner, M. Innerberger, J.M. Melenk, D.Praetorius Rate-optimal goal-oriented adaptive FEM for semilinear elliptic PDEs [published]
arXiv:2112.06687
2021 N.J. Mauser, C.-M. Pfeiler, D. Praetorius, M. Ruggeri Unconditional well-posedness and IMEX improvement of a family of predictor-corrector methods in micromagnetics [published]
arXiv:2112.00451
2021 R. Becker, M. Innerberger, D. Praetorius Adaptive FEM for parameter-errors in elliptic linear-quadratic parameter estimation problems [published]
arXiv:2111.03627
2021 H. Oezelt, L. Qu, A. Kovacs, J. Fischbacher, M. Gusenbauer, R. Beigelbeck, D. Praetorius, Y. Masao, T. Shoji, A. Kato, R. Chantrell, M. Winklhofer, G. Zimanyi, T. Schrefl Full-spin-wave-scaled finite element stochastic micromagnetism: Mesh-independent FUSSS LLG simulations of ferromagnetic resonance and reversal [published]
arXiv:2108.10582
2021 G. Gantner, D. Praetorius Adaptive BEM for elliptic PDE systems, part II: Isogeometric analysis with hierarchical B-splines for weakly-singular integral equations [published]
arXiv:2107.06613
2021 A. Buffa, G. Gantner, C. Gianelli, D. Praetorius, R. Vazquez Mathematical foundations of adaptive isogeometric analysis [published]
arXiv:2107.02023
2021 A.A.S Amad, P.D. Ledger, T. Betcke, D. Praetorius Accurate benchmark computations of the polarizability tensor for characterising small conducting inclusions [published]
arXiv:2106.15157
2021 A. Kovacs, L. Exl, A. Kornell, J. Fischbacher, M. Hovorka, M. Gusenbauer, L. Breth, H. Oezelt, D. Praetorius, D. Suess, T. Schrefl Magnetostatics and micromagnetics with physics informed neural networks [published]
arXiv:2106.03362
2021 R. Becker, G. Gantner, M. Innerberger, D.Praetorius Goal-oriented adaptive finite element methods with optimal computational complexity [published]
arXiv:2101.11407
2020 A. Bespalov, D. Praetorius, M. Ruggeri Convergence and rate optimality of adaptive multilevel stochastic Galerkin FEM [published]
arXiv:asc37x2020
2020 E. Davoli, G. Di Fratta, D. Praetorius, M. Ruggeri Micromagnetics of thin films in the presence of Dzyaloshinskii-Moriya interaction [published]
arXiv:2010.15541
asc28x2020.pdf
2020 G. Di Fratta, A. Jüngel, D. Praetorius, V. Slastikov Spin-diffusion model for micromagnetics in the limit of long times [published]
arXiv:2009.14534
asc26x2020.pdf
2020 G. Gantner, D. Praetorius Plain convergence of adaptive algorithms without exploiting reliability and efficiency [published]
arXiv:2009.01349
asc25x2020.pdf
2020 P. Heid, D. Praetorius, T.P. Wihler Energy contraction and optimal convergence of adaptive iterative linearized finite element methods [published]
arXiv:2007.10750
asc21x2020.pdf
2020 A. Bespalov, D. Praetorius, M. Ruggeri Two-level a posteriori error estimation for adaptive multilevel stochastic Galerkin FEM [published]
arXiv:2006.02255
asc18x2020.pdf
2020 T. Führer, D. Praetorius A short note on plain convergence of adaptive least-squares finite element methods [published]
arXiv:2005.11015
asc16x2020.pdf
2020 A. Haberl, D. Praetorius, S. Schimanko, M. Vohralik Convergence and quasi-optimal cost of adaptive algorithms for nonlinear operators including iterative linearization and algebraic solver [published]
arXiv:2004.13137
asc12x2020.pdf
2020 G. Gantner, D. Praetorius Adaptive BEM for elliptic PDE systems, Part I: Abstract framework for weakly-singular integral equations [published]
arXiv:2004.07762
asc10x2020.pdf
2020 R. Becker, M. Innerberger, D. Praetorius Optimal convergence rates for goal-oriented FEM with quadratic goal functional [published]
arXiv:2003.13270
asc07x2020.pdf
2020 G. Gantner, A. Haberl, D. Praetorius, S. Schimanko Rate optimality of adaptive finite element methods with respect to the overall computational costs [published]
arXiv:2003.10785
asc04x2020.pdf
2019 S. Kurz, D. Pauly, D. Praetorius, S. Repin, D. Sebastian Functional a posteriori error estimates for boundary element methods [published]
arXiv:1912.05789
asc29x2019.pdf
2019 G. Di Fratta, M. Innerberger, D. Praetorius Weak-strong uniqueness for the Landau-Lifshitz-Gilbert equation in micromagnetics [published]
arXiv:1910.04630 
asc26x2019.pdf
2019 G. Gantner, D. Praetorius Adaptive IGAFEM with optimal convergence rates: T-splines [published]
arXiv:1910.01311
asc25x2019.pdf
2019 C.-M. Pfeiler, D. Praetorius Dörfler marking with minimal cardinality is a linear complexity problem [published]
arXiv:1907.13078
asc20x2019.pdf
2019 M. Innerberger, D. Praetorius Instance-optimal goal-oriented adaptivity [published]
arXiv:1907.13035
asc21x2019.pdf
2019 D. Praetorius, M. Ruggeri, E.P. Stephan The saturation assumption yields optimal convergence of two-level adaptive BEM [published]
arXiv:1907.06612
asc18x2019.pdf
2019 M. Faustmann, J.M. Melenk, D. Praetorius Quasi-optimal convergence rate for an adaptive method for the integral fractional Laplacian [published]
arXiv:1903.10409
asc07x2019.pdf
2019 G. Gantner, D. Praetorius, S. Schimanko Adaptive isogeometric boundary element methods with local smoothness control [published]
arXiv:1903.01830
asc06x2019.pdf
2019 T. Betcke, A. Haberl, D. Praetorius Adaptive boundary element methods for the computation of the electrostatic capacity on complex polyhedra [published]
arXiv:1901.08393
asc03x2019.pdf
2018 G. Di Fratta, T. Führer, G. Gantner, D. Praetorius Adaptive Uzawa algorithm for the Stokes equation [published]
arXiv:1812.11798
asc34x2018.pdf
2018 C.-M. Pfeiler, M. Ruggeri, B. Stiftner, L. Exl, M. Hochsteger, G. Hrkac, J. Schöberl, N. Mauser, D. Praetorius Computational micromagnetics with Commics [published]
arXiv:1812.05931
asc33x2018.pdf
2018 A. Bespalov, D. Praetorius, L. Rocchi, M. Ruggeri Convergence of adaptive stochastic Galerkin FEM [published]
arXiv:1811.09462
asc31x2018.pdf
2018 J. Kraus, C.-M. Pfeiler, D. Praetorius, M. Ruggeri, B. Stiftner Iterative solution and preconditioning for the tangent plane scheme in computational micromagnetics [published]
arXiv:1808.10281
asc21x2018.pdf
2018 T. Führer, G. Gantner, D. Praetorius, S. Schimanko Optimal additive Schwarz preconditioning for adaptive 2D IGA boundary element methods [published]
arXiv:1808.04585
asc20x2018.pdf
2018 A. Bespalov, T. Betcke, A. Haberl, D. Praetorius Adaptive BEM with optimal convergence rates for the Helmholtz equation [published]
arXiv:1807.11802
asc18x2018.pdf
2018 C. Erath, D. Praetorius Optimal adaptivity for the SUPG finite element method [published]
arXiv:1806.11000 
asc17x2018.pdf
2018 A. Bespalov, D. Praetorius, L. Rocchi, M. Ruggeri Goal-oriented error estimation and adaptivity for elliptic PDEs with parametric or uncertain inputs [published]
arXiv:1806.03928
asc15x2018.pdf
2018 T. Führer, A. Haberl, D. Praetorius, S. Schimanko Adaptive BEM with inexact PCG solver yields almost optimal computational costs [published]
arXiv:1806.00313
asc12x2018.pdf
2018 C. Erath, G. Gantner, D. Praetorius Optimal convergence behavior of adaptive FEM driven by simple (h-h/2)-type error estimators [published]
arXiv:1805.00715
asc10x2018.pdf
2017 C. Erath, D. Praetorius Céa-type quasi-optimality and convergence rates for (adaptive) vertex-centered FVM [published]
arXiv:asc01x2017
2017 G. Hrkac, C.-M. Pfeiler, D. Praetorius, M. Ruggeri, A. Segatti, B. Stiftner Convergent tangent plane integrators for the simulation of chiral magnetic skyrmion dynamics [published]
arXiv:1712.03795
asc29x2017.pdf
2017 G. Di Fratta, C.-M. Pfeiler, D. Praetorius, M. Ruggeri, B. Stiftner Linear second-order IMEX-type integrator for the (eddy current) Landau-Lifshitz-Gilbert equation [published]
arXiv:1711.10715 
asc27x2017.pdf
2017 C. Erath, D. Praetorius Adaptive vertex-centered finite volume methods for general second-order linear elliptic PDEs [published]
arXiv:1709.07181
asc17x2017.pdf
2017 T. Führer, D. Praetorius A linear Uzawa-type FEM-BEM solver for nonlinear transmission problems [published]
arXiv:1703.10796
asc06x2017.pdf
2017 G. Gantner, D. Haberlik, D. Praetorius Adaptive IGAFEM with optimal convergence rates: Hierarchical B-splines [published]
arXiv:1701.07764
asc02x2017.pdf