Publications and Preprints

Authors

Title

Journal

Link

Preprint

Year


93
T. Führer,
G. Gantner,
D. Praetorius,
S. Schimanko
Optimal additive Schwarz preconditioning for adaptive 2D IGA boundary element methods (preprint) 2018

92
J. Kraus,
C.-M. Pfeiler,
D. Praetorius,
M. Ruggeri,
B. Stiftner
Iterative solution and preconditioning for the tangent plane scheme in computational micromagnetics (preprint) 2018

91
M. Bernkopf,
J. M. Melenk
Analysis of the $hp$-version of a first order system least squares method for the Helmholtz equation to appear in Advanced Finite Element Methods with Applications - Proceedings of the 30th Chemnitz FEM Symposium 2017 (2018) (preprint) 2018

90
A. Arnold,
C. Klein,
B. Ujvari
WKB-method for the 1D Schrödinger equation in the semi-classical limit: enhanced phase treatment (preprint) 2018

89
L. Mascotto,
I. Perugia,
A. Pichler
A nonconforming Trefftz virtual element method for the Helmholtz problem: numerical aspects (preprint) 2018

88
A. Bespalov,
D. Praetorius,
L. Rocchi,
M. Ruggeri
Goal-oriented error estimation and adaptivity for elliptic PDEs with parametric or uncertain inputs (preprint) 2018

87
C. Erath,
G. Gantner,
D. Praetorius
Optimal convergence behavior of adaptive FEM driven by simple $(h-h/2)$-type error estimators (preprint) 2018

86
A. Arnold,
K. Döpfner
Stationary Schrödinger equation in the semi-classical limit: WKB-based scheme coupled to a turning point (preprint) 2018

85
G. Favre,
G. Schimperna
On a Navier-Stokes-Allen-Cahn model with inertial effects (preprint) 2018

84
L. Mascotto,
I. Perugia,
A. Pichler
A nonconforming Trefftz virtual element method for the Helmholtz problem (preprint) 2018

83
E. S. Daus,
A. Jüngel,
B. Quoc Tang
Exponential time decay of solutions to reaction-cross-diffusion systems of Maxwell-Stefan type (preprint) 2018

82
F. Achleitner,
A. Arnold,
B. Signorello
On optimal decay estimates for ODEs and PDEs with modal decomposition (preprint) 2018

81
A. Geyer,
R. Quirchmayr
Traveling wave solutions of a highly nonlinear shallow water equation Discrete & Continuous Dynamical Systems - A, 38 (2018), 3:1567 - 1604 article 2018

80
L. Mascotto,
I. Perugia,
A. Pichler
Non-conforming harmonic virtual element method: $h$- and $p$-versions to appear in Journal of Scientific Computing (2018) article (preprint) 2018

79
H. Luong
Local well-posedness for the Zakharov system on the background of a line soliton Communications on pure and applied analysis, 17 (2018), 6:2657 - 2682 article (preprint) 2018

78
H. Luong,
J.-C. Saut,
N. J. Mauser
On the Cauchy problem for the Zakharov-Rubenchik/Benney-Roskes system Communications on Pure and Applied Analysis, 17 (2018), 4:1573 - 1594 article (preprint) 2018

77
A. Arnold,
A. Einav,
T. Wöhrer
On The Rates of Decay to Equilibrium in Degenerate and Defective Fokker-Planck Equations Journal of Differential Equations, 264 (2018), 11:6843 - 6872 article (preprint) 2018

76
X. Chen,
E. S. Daus,
A. Jüngel
Global existence analysis of cross-diffusion population systems for multiple species Archive Rat. Mech. Anal, 2 (2018), 715 - 747 article (preprint) 2018

75
A. Geyer,
R. Quirchmayr
Shallow water equations for equatorial tsunami waves Phil. Trans. R. Soc. A 376.2111, DOI 10.1098/rsta.2017.0100, 20170100 (2018) article 2018

74
A. Iuorio,
C. Kuehn,
P. Szmolyan
Geometry and numerical continuation of multiscale orbits in a nonconvex variational problem to appear in Discrete and Continuous Dynamical Systems-S (2018) (preprint) 2018

73
A. Iuorio,
S. Melchionna
Long-time behavior of a nonlocal Cahn-Hilliard equation with reaction Discrete and Continuous Dynamical Systems, 38 (2018), 8:3765 - 3788 article (preprint) 2018

72
G. Gantner,
A. Haberl,
D. Praetorius,
B. Stiftner
Rate optimal adaptive FEM with inexact solver for nonlinear operators to appear in IMA Journal of Numerical Analysis (2018) article (preprint) 2018

71
D. Praetorius,
M. Ruggeri,
B. Stiftner
Convergence of an implicit-explicit midpoint scheme for computational micromagnetics Computers & Mathematics with Applications, 75 (2018), 5:1719 - 1738 article (preprint) 2018

70
D. Stürzer,
A. Arnold,
A. Kugi
Closed-loop Stability Analysis of a Gantry Crane with Heavy Chain International Journal of Control, 91 (2018), 8:1931 - 1943 article (preprint) 2018

69
L. Banjai,
A. Rieder
Convolution quadrature for the wave equation with a nonlinear impedance boundary condition Mathematics of Computation, 87 (2018), 312:1783 - 1819 article (preprint) 2018

68
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 (preprint) 2017

67
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 (preprint) 2017

66
T. Qiu,
A. Rieder,
F.-J. Sayas,
S. Zhang
Time-domain boundary integral equation modeling of heat transmission problems (preprint) 2017

65
R. Quirchmayr
A steady, purely azimuthal flow model for the Antarctic Circumpolar Current Monatsh. Math. (2017), 1 - 8 article 2017

64
G. Gantner,
D. Haberlik,
D. Praetorius
Adaptive IGAFEM with optimal convergence rates: hierarchical B-splines Mathematical Models and Methods in Applied Sciences, 27 (2017), 2631 - 2674 article (preprint) 2017

63
J. D. Backhoff Veraguas,
M. Beiglböck,
Y. Lin,
A. Zalashko
Causal transport in discrete time and applications SIAM Journal on Optimization, 27 (2017), 4:2528 - 2562 article (preprint) 2017

62
J. M. Melenk,
A. Rieder
Runge-Kutta convolution quadrature and FEM-BEM coupling for the time dependent linear Schrödinger equation J. Integral Equations Applications, 29 (2017), 1:189 - 250 article (preprint) 2017

61
J. A. Iglesias Martínez,
C. Kirisits
Convective regularization for optical flow to appear in Variational Methods in Imaging and Geometric Control, Radon Series on Computational and Applied Mathematics (2017) (preprint) 2017

60
A. Jüngel,
P. Shpartko,
N. Zamponi
Energy-transport models for spin transport in ferromagnetic semiconductors Communications in Mathematical Sciences, 15 (2017), 6:1527 - 1563 article (preprint) 2017

59
P. Elbau,
O. Scherzer,
C. Shi
Singular Values of the Attenuated Photoacoustic Imaging Operator Journal of Differential Equations, 263 (2017), 9:5330 - 5376 article (preprint) 2017

58
M. Feischl,
T. Führer,
D. Praetorius,
E. P. Stephan
Optimal additive Schwarz preconditioning for hypersingular integral equations on locally refined triangulations Calcolo, 54 (2017), 1:367 - 399 article 2017

57
R. Quirchmayr
On Irrotational Flows Beneath Periodic Traveling Equatorial Waves R. J. Math. Fluid Mech., 19 (2017), 2:283 - 304 article 2017

56
J. A. Iglesias Martínez,
M. Rumpf,
O. Scherzer
Shape-aware matching of implicit surfaces based on thin shell energies Found. Comp. Math. (2017), 1 - 37 article (preprint) 2017

55
M. Feischl,
G. Gantner,
A. Haberl,
D. Praetorius
Optimal convergence for adaptive IGA boundary element methods for weakly-singular integral equations Numer. Math., 136 (2017), 1:147 - 182 article (preprint) 2017

54
S. Hirsch,
A. Manhart,
C. Schmeiser
Mathematical modeling of Myosin induced bistability of Lamellipodial fragments Journal of Mathematical Biology, 74 (2017), 1-2:1 - 22 article (preprint) 2017

53
A. Manhart,
C. Schmeiser
Existence and decay to equilibrium of the filament end density along the leading edge of the lamellipodium J. Math. Biol., 74 (2017), 1-2:169 - 193 article (preprint) 2017

52
M. Aurada,
M. Feischl,
T. Führer,
M. Karkulik,
J. M. Melenk,
D. Praetorius
Local inverse estimates for non-local boundary integral operators Math. Comput., 86 (2017), 2651 - 2686 article (preprint) 2017

51
A. Manhart,
D. Oelz,
C. Schmeiser,
N. Sfakianakis
Numerical treatment of the filament based Lamellipodium model Modeling Cellular Systems, Contributions in Mathematical and Computational Sciences, CMCS, 11 (2017), 141 - 159 article (preprint) 2017

50
P. Degond,
A. Manhart,
H. Yu
A continuum model for nematic alignment of self propelled particles Discrete and continuous dynamical systems Series B, 22 (2017), 4:1295 - 1327 article (preprint) 2017

49
M. Feischl,
T. Führer,
D. Praetorius,
E. P. Stephan
Optimal preconditioning for the symmetric and non-symmetric coupling of adaptive finite elements and boundary elements Numer. Methods Partial Differential Equations, 33 (2017), 3:603 - 632 article (preprint) 2017

48
B. Acciaio,
J. D. Backhoff Veraguas,
A. Zalashko
Causal optimal transport and its links to enlargement of filtrations and continuous-time stochastic optimization (preprint) 2016

47
M. Holzleitner,
A. Kostenko,
G. Teschl
Dispersion Estimates for Spherical Schrödinger Equations with Critical Angular Momentum (preprint) 2016

46
M. Miletić,
D. Stürzer,
A. Arnold,
A. Kugi
Stability of an Euler-Bernoulli beam with a nonlinear dynamic feedback system IEEE Trans. Autom. Control, 61 (2016), 10:2782 - 2795 article (preprint) 2016

45
M. Briant,
E. S. Daus
The Boltzmann Equation for a Multi-species Mixture Close to Global Equilibrium Arch. Rat. Mech., 222 (2016), 3:1367 - 1443 article (preprint) 2016

44
C. Abert,
M. Ruggeri,
F. Bruckner,
C. Vogler,
A. Manchon,
D. Praetorius,
D. Suess
A self-consistent spin-diffusion model for micromagnetics Scientific Reports, 6 (2016) article (preprint) 2016

43
M. Feischl,
D. Praetorius,
K. G. van der Zee
An abstract analysis of optimal goal-oriented adaptivity SIAM J. Numer. Anal., 54 (2016), 3:1423 - 1448 article (preprint) 2016

42
M. Feischl,
G. Gantner,
A. Haberl,
D. Praetorius
Adaptive 2D IGA boundary element methods Eng. Anal. Bound. Elem., 62 (2016), 141 - 153 article (preprint) 2016

41
M. Holzleitner,
A. Kostenko,
G. Teschl
Dispersion Estimates for Spherical Schrödinger Equations: The Effect of Boundary Conditions Opuscula Math., 36 (2016), 6:769 - 786 article (preprint) 2016

40
K. Andreiev,
I. Egorova,
T. Lange,
G. Teschl
Rarefaction Waves of the Korteweg-de Vries Equation via Nonlinear Steepest Descent J. Differential Equations, 261 (2016), 10:5371 - 5410 article (preprint) 2016

39
C. Abert,
M. Ruggeri,
G. Hrkac,
D. Praetorius,
D. Suess
Coupling of dynamical micromagnetism and a stationary spin drift-diffusion equation: A step towards a fully self-consistent spintronics framework Physica B: Condensed Matter, 486 (2016), 88 - 91 article 2016

38
Z. Ammari,
M. Falconi,
B. Pawilowski
On the rate of convergence for the mean field approximation of bosonic many-body quantum dynamics Commun. Math. Sci., 14 (2016), 1417 - 1442 article (preprint) 2016

37
M. Feischl,
T. Führer,
G. Gantner,
A. Haberl,
D. Praetorius
Adaptive boundary element methods for optimal convergence of point errors Numer. Math., 132 (2016), 3:541 - 567 article 2016

36
M. Halla
Convergence of Hardy space infinite elements for Helmholtz scattering and resonance problems Numer. Math., 133 (2016), 103 - 139 article (preprint) 2016

35
C. Chainais-Hillairet,
A. Jüngel,
P. Shpartko
A finite-volume scheme for a spinoral matrix drift-diffusion model for semiconductors Numer. Meth. Part. Diff. Eqs., 32 (2016), 819 - 846 article (preprint) 2016

34
E. S. Daus,
A. Jüngel,
C. Mouhot,
N. Zamponi
Hypocoercivity for a linearized multi-species Boltzmann system SIAM J. Math. Anal., 48 (2016), 538 - 568 article (preprint) 2016

33
R. Quirchmayr
A new highly nonlinear shallow water wave equation R. J. Evol. Equ., 16 (2016), 3:539 - 567 article 2016

32
I. Egorova,
M. Holzleitner,
G. Teschl
Properties of the Scattering Matrix and Dispersion Estimates for Jacobi Operators J. Math. Anal. Appl., 434 (2016), 1:956 - 966 article (preprint) 2016

31
S. Hirsch,
D. Oelz,
C. Schmeiser
Existence and uniqueness of solutions for a model of non-sarcomeric actomyosin bundles to appear in Discr. Cont. Dyn. Sys. Ser. A. (2016) (preprint) 2016

30
P. Aceves Sanchez,
C. Schmeiser
Fractional-Diffusion-Advection Limit of a Kinetic Model SIAM Journal on Mathematical Analysis, 48 (2016), 4:2806 - 2818 article (preprint) 2016

29
R. Quirchmayr
On the existence of benthic storms J. Nonlin. Math. Phys., 22 (2015), 540 - 544 article 2015

28
A. Manhart,
C. Schmeiser
A kinetic transport model for actin-myosin interaction (preprint) 2015

27
I. Egorova,
M. Holzleitner,
G. Teschl
Zero Energy Scattering for One-Dimensional Schrödinger Operators and Applications to Dispersive Estimates Proc. Amer. Math. Soc. Ser. B, 2 (2015), 51 - 59 article (preprint) 2015

26
M. Halla
A new proof of convergence for radial perfectly matched layer discretizations of Helmholtz scattering and resonance problems (preprint) 2015

25
I. Egorova,
Z. Gladka,
T. Lange,
G. Teschl
Inverse scattering theory for Schrödinger operators with steplike potentials Zh. Mat. Fiz. Anal. Geom., 11 (2015), 123 - 158 (preprint) 2015

24
M. Feischl,
G. Gantner,
D. Praetorius
Reliable and efficient a posteriori error estimation for adaptive IGA boundary element methods for weakly-singular integral equations Comput. Methods Appl. Mech. Engrg., 290 (2015), 362 - 386 article (preprint) 2015

23
M. Feischl,
T. Führer,
M. Karkulik,
J. M. Melenk,
D. Praetorius
Quasi-optimal convergence rates for adaptive boundary element methods with data approximation - Part II: Hyper-singular integral equation Electron. Trans. Numer. Anal., 44 (2015), 153 - 176 article (preprint) 2015

22
A. Manhart,
D. Oelz,
C. Schmeiser,
N. Sfakianakis
An Extended Filament Based Lamellipodium Model Produces Various Moving Cell Shapes in the Presence of Chemotactic Signals Journal of Theoretical Biology, 382 (2015), 244 - 258 article (preprint) 2015

21
M. Miletić,
D. Stürzer,
A. Arnold
An Euler-Bernoulli beam with nonlinear damping and a nonlinear spring at the tip Discrete Contin. Dyn. Sys. Ser. B, 20 (2015), 9:3029 - 3055 (preprint) 2015

20
C. Abert,
M. Ruggeri,
F. Bruckner,
C. Vogler,
G. Hrkac,
D. Praetorius,
D. Suess
A three-dimensional spin-diffusion model for micromagnetics Scientific Reports, 5 (2015), 14855 article (preprint) 2015

19
A. Jüngel,
C. Negulescu,
P. Shpartko
Bounded weak solutions to a matrix drift-diffusion model for spin-coherent electron transport in semiconductors Math. Models Meth. Appl. Sci., 25 (2015), 5:929 - 958 article (preprint) 2015

18
B. Pawilowski
Mean field approximation of many-body quantum dynamics for Bosons in a discrete numerical model (preprint) 2015

17
T. Führer,
J. M. Melenk,
D. Praetorius,
A. Rieder
Optimal additive Schwarz methods for the $hp$-BEM: the hypersingular integral operator in 3D on locally refined meshes Comput. Math. Appl., 70 (2015), 1583 - 1605 article (preprint) 2015

16
M. Halla,
L. Nannen
Hardy space infinite elements for time-harmonic two-dimensional elastic waveguide problems Wave Motion, 59 (2015), 94 - 110 article (preprint) 2015

15
M. Halla,
T. Hohage,
L. Nannen,
J. Schöberl
Hardy space infinite elements for time harmonic wave equations with phase and group velocities of different signs Numer. Math., 133 (2015), 1:103 - 139 article (preprint) 2015

14
M. Feischl,
T. Führer,
N. Heuer,
M. Karkulik,
D. Praetorius
Adaptive boundary element methods: A posteriori error estimators, adaptivity, convergence, and implementation Arch. Comput. Methods Engrg., 22 (2015), 309 - 389 article (preprint) 2015

13
B. Pawilowski,
Q. Liard
Mean field limit for bosons with compact kernels interactions by Wigner measures transportation J. Math. Phys., 55 (2014), 092304 article (preprint) 2014

12
A. Marasco,
A. Iuorio,
F. Carteni,
G. Bonanomi,
D. M. Tartakovsky,
S. Mazzoleni,
F. Giannino
Vegetation Pattern Formation Due to Interactions Between Water Availability and Toxicity in Plant-Soil Feedback Bull. Math. Biol., 76 (2014), 11:2866 - 2883 article 2014

11
D. Boffi,
L. Gastaldi,
M. Ruggeri
Mixed formulation for interface problems with distributed Lagrange multiplier Comput. Math. Appl., 68 (2014), 12-B:2151 - 2166 article (preprint) 2014

10
C. Carstensen,
M. Feischl,
D. Praetorius
Rate optimality of adaptive algorithms ECCOMAS Newsletter, 07 (2014), 20 - 23 (preprint) 2014

9
M. Feischl,
T. Führer,
G. Mitscha-Eibl,
D. Praetorius,
E. P. Stephan
Convergence of adaptive BEM and adaptive FEM-BEM coupling for estimators without $h$-weighting factor Comput. Methods Appl. Math., 14 (2014), 485 - 508 article (preprint) 2014

8
C. Abert,
G. Hrkac,
M. Page,
D. Praetorius,
M. Ruggeri,
D. Suess
Spin-polarized transport in ferromagnetic multilayers: An unconditionally convergent FEM integrator Comput. Math. Appl., 60 (2014), 639 - 654 article (preprint) 2014

7
M. Summerer,
J. Horst,
G. Erhart,
H. Weißensteiner,
S. Schönherr,
D. Pacher,
L. Forer,
D. Horst,
A. Manhart,
B. Horst,
T. Sanguansermsri,
A. Kloss-Brandstätter
Large-scale mitochondrial DNA analysis in Southeast Asia reveals evolutionary effects of cultural isolation in the multi-ethnic population of Myanmar BMC Evol. Biol., 14 (2014), 17 article 2014

6
M. Feischl,
T. Führer,
M. Karkulik,
D. Praetorius
ZZ-type aposteriori error estimators for adaptive boundary element methods on a curve Eng. Anal. Bound. Elem., 38 (2014), 100:49 - 60 article (preprint) 2014

5
F. Bruckner,
M. Feischl,
T. Führer,
P. Goldenits,
M. Page,
D. Praetorius,
M. Ruggeri,
D. Suess
Multiscale modeling in micromagnetics: existence of solutions and numerical integration Math. Models Methods Appl. Sci., 24 (2014), 2627 article (preprint) 2014

4
D. Stürzer,
A. Arnold
Spectral Analysis and Long-Time Behaviour of a Fokker-Planck Equation with a Non-Local Perturbation Rendiconti Lincei Cl. Sci. Fis. Mat. Natur., 25 (2014), 1:53 - 89 article (preprint) 2014

3
C. Carstensen,
M. Feischl,
M. Page,
D. Praetorius
Axioms of Adaptivity Comput. Math. Appl., 67 (2014), 6:1195 - 1253 article (preprint) 2014

2
M. Feischl,
T. Führer,
D. Praetorius
Adaptive FEM with optimal convergence rates for a certain class of non-symmetric and possibly non-linear problems Siam J. Numer. Anal., 52 (2014), 2:601 - 625 article (preprint) 2014

1
P. Aceves Sanchez,
A. Minzoni,
P. Panayotaros
Numerical study of a nonlocal model for water-waves with variable depth Wave Motion, 50 (2013), 1:80 - 93 article 2013