Institute of Numerical Mathematics

2025

S. Beuchler, B. Endtmayer, U. Langer, A. Schafelner and T. Wick
A 5D concept for space-time optimal control problems with application to simplified Carreau flow.
JKU Linz, 11/2025, submitted
arXiv:2511.09086
H. Egger, F. Engertsberger, and A. Schafelner.
Efficient evaluation of forward and inverse energy-based magnetic hysteresis operators.
JKU Linz, 07/2025, submitted.
arXiv:2507.15289
H. Egger, and A. Schafelner.
A parallel-in-time solver for nonlinear degenerate time-periodic parabolic problems.
JKU Linz, 02/2025
arXiv:2502.21013

B. Endtmayer, U. Langer, T. Richter, A. Schafelner and T. Wick
A posteriori single- and multi-goal error control and adaptivity for partial differential equations.
AAMS Vol. 59: Error Control, Adaptive Discretizations, and Applications, Part 2, 19-108, 2024.
B. Endtmayer, U. Langer and A. Schafelner
Goal-oriented adaptive space-time finite element methods for regularized parabolic p-Laplace problems.
Comput. Math. Appl. 167, 286 - 297, 2024.

U. Langer and A. Schafelner.
Space-Time Hexahedral Finite Element Methods for Parabolic Evolution Problems.
In: Brenner, S.C., Chung, E., Klawonn, A., Kwok, F., Xu, J., Zou, J. (eds) Domain Decomposition Methods in Science and Engineering XXVI. Lecture Notes in Computational Science and Engineering, vol 145. Springer, Cham, 2022.

U. Langer and A. Schafelner.
Simultaneous space-time finite element methods for parabolic optimal control problems.
In I. Lirkov and S. Margenov (eds.): Large-Scale Scientific Computing, 13th International Conference, LSSC 2021, Sozopol, Bulgaria, June 7–11, 2021 Revised Selected Papers, p. 314 – 321, 2022.

U. Langer and A. Schafelner.
Adaptive space-time finite element methods for non-autonomous parabolic problems with distributional sources.
Computational Methods in Applied Mathematics, vol. 20 (4), p. 677 – 693, 2020.
U. Langer and A. Schafelner.
Space-Time Finite Element Methods for Parabolic Initial-Boundary Value Problems with Non-smooth Solutions..
In I. Lirkov and S. Margenov (eds.): Large-Scale Scientific Computing. LSSC 201, p. 593 – 600, 2020.

U. Langer, M. Neumüller, and A. Schafelner.
Space-time Finite Element Methods for Parabolic Evolution Problems with Variable Coefficients.
In T. Apel, U. Langer, A. Meyer, and O. Steinbach (eds.): Advanced Finite Element Methods with Applications - Selected Papers from the 30th Chemnitz Finite Element Symposium 2017, p. 229 – 256, 2019.
U. Langer and A. Schafelner.
Adaptive space-time finite element solvers for parabolic initial-boundary value problems with non-smooth solutions.
PAMM, vol. 1 (19), p. e201900305, 2019.