Preprints
| 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 |