Eskil Hansen
Preprints
- M. Eisenmann, E. Hansen, M. Jans,
Error bounds for full space-time splitting discretizations of semi-linear SPDEs – with a focus on DG domain decompositions
[ pdf preprint ] - E. Engström, E. Hansen,
An abstract approach to the Robin-Robin method,
DD28 proceeding.
[ pdf preprint ]
Articles
- E. Engström, E. Hansen,
Linearly convergent nonoverlapping domain decomposition methods for quasilinear parabolic equations,
BIT, 64 (2024) #37.
[ doi.org/10.1007/s10543-024-01038-5 ] [ pdf preprint ] - E. Engström, E. Hansen,
Modified Neumann–Neumann methods for semi- and quasilinear elliptic equations,
Applied Numerical Mathematics, 206 (2024) pp. 322–339.
[ doi.org/10.1016/j.apnum.2024.08.011 ] [ pdf preprint ] - E. Engström, E. Hansen,
Convergence analysis of the nonoverlapping Robin–Robin method for nonlinear elliptic equations,
SIAM Journal on Numerical Analysis, 60 (2022) pp. 585–605.
[ doi 10.1137/21M1414942 ] [ pdf preprint ] - M. Eisenmann, E. Hansen,
A variational approach to the sum splitting scheme,
IMA Journal of Numerical Analysis, 42 (2022) pp. 923–950.
[ doi 10.1093/imanum/draa100 ] [ pdf preprint ] - M. Eisenmann, E. Hansen,
Convergence analysis of domain decomposition based time integrators for degenerate parabolic equations,
Numerische Mathematik, 140 (2018) pp. 913–938.
[ doi 10.1007/s00211-018-0985-z ] [ pdf preprint ] - E. Hansen, E. Henningsson,
Additive domain decomposition operator splittings – convergence analyses in a dissipative framework,
IMA Journal of Numerical Analysis, 37 (2017) pp. 1496–1519.
[ doi 10.1093/imanum/drw043 ] [ pdf preprint ]
- E. Hansen, A. Ostermann,
High-order splitting schemes for semilinear evolution equations,
BIT, 56 (2016) pp. 1303–1316.
[ doi 10.1007/s10543-016-0604-2 ] [ pdf preprint ] - E. Hansen, A. Ostermann, K. Schratz,
The error structure of the Douglas-Rachford splitting method for stiff linear problems,
Journal of Computational and Applied Mathematics, 303 (2016) pp. 140–145.
[ doi 10.1016/j.cam.2016.02.037 ] [ pdf preprint ] - E. Hansen, E. Henningsson,
A full space-time convergence order analysis of operator splittings for linear dissipative evolution equations,
Communications in Computational Physics, 19 (2016) pp. 1302–1316.
[ doi 10.4208/cicp.scpde14.22s ] [ pdf preprint ] - P. Ståhle, E. Hansen,
Phase field modelling of stress corrosion,
Engineering Failure Analysis, 47 (2015) pp. 241–251.
[ doi 10.1016/j.engfailanal.2014.07.025 ] [ pdf preprint @ Ståhle ] - E. Hansen, T. Stillfjord,
Convergence analysis for splitting of the abstract differential Riccati equation,
SIAM Journal on Numerical Analysis, 52 (2014) pp. 3128–3139.
[ doi 10.1137/130935501 ] [ pdf preprint ] - E. Hansen, T. Stillfjord,
Splitting of dissipative evolution equations,
Oberwolfach Reports, 11 (2014) pp. 814–816.
[ doi 10.4171/OWR/2014/14 ] [ pdf preprint ] - E. Hansen, T. Stillfjord,
Implicit Euler and Lie splitting discretizations of nonlinear parabolic equations with delay,
BIT, 54 (2014) pp. 673–689.
[ doi 10.1007/s10543-014-0480-6 ] [ pdf preprint ] - P. Dörsek, E. Hansen,
High order splitting schemes with complex timesteps and their application in mathematical finance,
Journal of Computational and Applied Mathematics, 262 (2014) pp. 234–243.
[ doi 10.1016/j.cam.2013.07.037 ] [ pdf preprint ] - E. Hansen, E. Henningsson,
A convergence analysis of the Peaceman-Rachford scheme for semilinear evolution equations,
SIAM Journal on Numerical Analysis, 51 (2013) pp. 1900–1910.
[ doi 10.1137/120890570 ] [ pdf preprint ] - E. Hansen, T. Stillfjord,
Convergence of the implicit-explicit Euler scheme applied to perturbed dissipative evolution equations,
Mathematics of Computation, 82 (2013) pp. 1975–1985.
[ doi 10.1090/S0025-5718-2013-02702-0 ] [ pdf preprint ] - E. Hansen, F. Kramer, A. Ostermann,
A second-order positivity preserving scheme for semilinear parabolic problems,
Applied Numerical Mathematics, 62 (2012) pp. 1428-1435.
[ doi 10.1016/j.apnum.2012.06.003 ] [ pdf preprint ] - E. Hansen, A. Ostermann,
Dimension splitting for quasilinear parabolic equations,
IMA Journal of Numerical Analysis, 30 (2010) pp. 857-869.
[ doi 10.1093/imanum/drn078 ] [ pdf preprint ] - E. Hansen, A. Ostermann,
Unconditional convergence of DIRK schemes applied to dissipative evolution equations,
Applied Numerical Mathematics, 60 (2010) pp. 55-63.
[ doi 10.1016/j.apnum.2009.09.001 ] [ pdf preprint ] - E. Hansen, A. Ostermann,
Dimension splitting for time dependent operators,
Discrete and Continuous Dynamical Systems, 2009 Suppl. (2009) pp. 322-332.
[ journal link ] [ pdf preprint ] - E. Hansen, A. Ostermann,
High order splitting methods for analytic semigroups exist,
BIT, 49 (2009) pp. 527-542.
[ doi 10.1007/s10543-009-0236-x ] [ pdf preprint ] - E. Hansen, A. Ostermann,
Exponential splitting for unbounded operators,
Mathematics of Computation, 78 (2009) pp. 1485-1496. - E. Hansen, A. Ostermann,
Dimension splitting for evolution equations,
Numerische Mathematik, 108 (2008) pp. 557-570. - E. Hansen, A. Ostermann,
Finite element Runge-Kutta discretizations of porous medium type equations,
SIAM Journal on Numerical Analysis, 46 (2008) pp. 1769-1779. - E. Hansen,
Galerkin/Runge-Kutta discretizations of nonlinear parabolic equations,
Journal of Computational and Applied Mathematics, 205 (2007) pp. 882-890. - E. Hansen,
Runge-Kutta time discretizations of nonlinear dissipative evolution equations,
Mathematics of Computation, 75 (2006) pp. 631-640. - E. Hansen,
Convergence of multistep time discretizations of nonlinear dissipative evolution equations,
SIAM Journal on Numerical Analysis, 44 (2006) pp. 55-65. - J. Persson, E. Hansen, L. Lidgren, I. McCarthy,
Modeling of the heat distribution in the intervertebral disk,
Ultrasound in Medicine and Biology, 31 (2005) pp. 709-717. - E. Hansen,
Modelling heat transfer in a bone-cement-prosthesis system,
Journal of Biomechanics, 36 (2003) pp. 787-795. - C. Evju, E. Hansen, S. Hansen,
Simulating the hydration of cementitious phases with an oscillating rate of reaction,
Cement and Concrete Research, 29 (1999) pp. 1513-1517.