Gunilla Kreiss – Professor in Numerical Analysis
Research
I am interested in numerical methods for partial differential equations.
Hyperbolic systems has been a special interest for a long time. Currantly I am working on methods for second order wave equations, and models for the flow in a network of channels based on the shallow water equation.
NavierStokes equations is another interest. Currently my work is directed towards numerical simulation of multiphase flow.
Over the last 10 years much work has concerned perfectly matched absorbing layers for wave propagation problems.
The Schrödinger equation also supports waves. In the group working on numerical methods for Quantum Dynamics I have focused on high order approximations and accurate numerical boundary closures.
Graduate Students
Kristoffer Virta
Hanna Holmgren
Siyang Wang
Simon Sticko
Publications
Older publications

Stable and highorder accurate boundary treatments for the elastic wave equation on secondorder form. Kenneth Duru, Gunilla Kreiss, and Ken Mattsson. In SIAM Journal on Scientific Computing, volume 36, pp A2787A2818, 2014. (DOI).

Boundary waves and stability of the perfectly matched layer for the two space dimensional elastic wave equation in second order form. Kenneth Duru and Gunilla Kreiss. In SIAM Journal on Numerical Analysis, volume 52, pp 28832904, 2014. (DOI).

Numerical interaction of boundary waves with perfectly matched layers in two space dimensional elastic waveguides. Kenneth Duru and Gunilla Kreiss. In Wave motion, volume 51, pp 445465, 2014. (DOI).

Efficient and stable perfectly matched layer for CEM. Kenneth Duru and Gunilla Kreiss. In Applied Numerical Mathematics, volume 76, pp 3447, 2014. (DOI).

A delayed feedback control for network of open canals. Mouhamadou Samsidy Goudiaby, Abdou Sene, and Gunilla Kreiss. In International Journal of Dynamics and Control, volume 1, pp 316329, 2013. (DOI).

A Riemann problem at a junction of open canals. Mouhamadou Samsidy Goudiaby and Gunilla Kreiss. In Journal of Hyperbolic Differential Equations, volume 10, pp 431460, 2013. (DOI).

Discrete stability of perfectly matched layers for anisotropic wave equations in first and second order formulation. Gunilla Kreiss and Kenneth Duru. In BIT Numerical Mathematics, volume 53, pp 641663, 2013. (DOI).

A uniformly wellconditioned, unfitted Nitsche method for interface problems. Eddie Wadbro, Sara Zahedi, Gunilla Kreiss, and Martin Berggren. In BIT Numerical Mathematics, volume 53, pp 791820, 2013. (DOI).

High order stable finite difference methods for the Schrödinger equation. Anna Nissen, Gunilla Kreiss, and Margot Gerritsen. In Journal of Scientific Computing, volume 55, pp 173199, 2013. (DOI).

On the accuracy and stability of the perfectly matched layer in transient waveguides. Kenneth Duru and Gunilla Kreiss. In Journal of Scientific Computing, volume 53, pp 642671, 2012. (DOI).

Stability at nonconforming grid interfaces for a high order discretization of the Schrödinger equation. Anna Nissen, Gunilla Kreiss, and Margot Gerritsen. In Journal of Scientific Computing, volume 53, pp 528551, 2012. (DOI).

An algebraic approach for controlling cascade of reaches in irrigation canals. Mouhamadou Samsidy Goudiaby, Abdou Sene, and Gunilla Kreiss. In Problems, Perspectives and Challenges of Agricultural Water Management, pp 369390, InTech, Rijeka, Croatia, 2012.

A wellposed and discretely stable perfectly matched layer for elastic wave equations in second order formulation. Kenneth Duru and Gunilla Kreiss. In Communications in Computational Physics, volume 11, pp 16431672, 2012. (DOI).

Spurious currents in finite element based level set methods for twophase flow. Sara Zahedi, Martin Kronbichler, and Gunilla Kreiss. In International Journal for Numerical Methods in Fluids, volume 69, pp 14331456, 2012. (DOI).

A computerassisted proof of the existence of traveling wave solutions to the scalar Euler equations with artificial viscosity. Oswald Fogelklou, Warwick Tucker, and Gunilla Kreiss. In NoDEA. Nonlinear differential equations and applications (Printed ed.), volume 19, pp 97131, 2012. (DOI).

An optimized perfectly matched layer for the Schrödinger equation. Anna Nissen and Gunilla Kreiss. In Communications in Computational Physics, volume 9, pp 147179, 2011. (DOI).

A computerassisted proof of the existence of solutions to a boundary value problem with an integral boundary condition. Oswald Fogelklou, Warwick Tucker, Gunilla Kreiss, and Malin Siklosi. In Communications in nonlinear science & numerical simulation, volume 16, pp 12271243, 2011. (DOI).

Numerical Mathematics and Advanced Applications: 2009. Gunilla Kreiss, Per Lötstedt, Axel Målqvist, and Maya Neytcheva (eds). SpringerVerlag, Berlin, 2010.

Stable perfectly matched layers for the Schrödinger equations. Kenneth Duru and Gunilla Kreiss. In Numerical Mathematics and Advanced Applications: 2009, pp 287295, SpringerVerlag, Berlin, 2010. (DOI).

A perfectly matched layer applied to a reactive scattering problem. Anna Nissen, Hans O. Karlsson, and Gunilla Kreiss. In Journal of Chemical Physics, volume 133, pp 054306:111, 2010. (DOI).

Direct numerical simulations of localized disturbances in pipe Poiseuille flow. PerOlov Åsén, Gunilla Kreiss, and Dietmar Rempfer. In Computers & Fluids, volume 39, pp 926935, 2010. (DOI).

Analysis of stretched grids as buffer zones in aeroacoustic simulations. Gunilla Efraimsson and Gunilla Kreiss. In Proc. 15th AIAA/CEAS Aeroacoustics Conference, volume 20093113 of Conference Proceeding Series, AIAA, 2009.

A conservative level set method for contact line dynamics. Sara Zahedi, Katarina Gustavsson, and Gunilla Kreiss. In Journal of Computational Physics, volume 228, pp 63616375, 2009. (DOI).

A hybrid levelset Cahn–Hilliard model for twophase flow. Martin Kronbichler and Gunilla Kreiss. In Proc. 1st European Conference on Microfluidics, pp 59:110, La Société Hydrotechnique de France, 2008. (fulltext).

An interface capturing method for twophase flow with moving contact lines. Sara Zahedi, Gunilla Kreiss, and Katarina Gustavsson. In Proc. 1st European Conference on Microfluidics, pp 118:110, La Société Hydrotechnique de France, 2008. (fulltext).

Analysis of stresses in twodimensional isostatic granular systems. Margot Gerritsen, Gunilla Kreiss, and Raphael Blumenfeld. In Physica A: Statistical Mechanics and its Applications, volume 387, pp 62636276, 2008. (DOI).

Stress chain solutions in twodimensional isostatic granular systems: Fabricdependent paths, leakage, and branching. Margot Gerritsen, Gunilla Kreiss, and Raphael Blumenfeld. In Physical Review Letters, volume 101, pp 098001:14, 2008. (DOI).

Stability of viscous shocks on finite intervals. Gunilla Kreiss, HeinzOtto Kreiss, and Jens Lorenz. In Archive for Rational Mechanics and Analysis, volume 187, pp 157183, 2008. (DOI).

Modeling of contact line dynamics for twophase flow. Gunilla Kreiss. In Proceedings in Applied Mathematics and Mechanics: PAMM, volume 7, number 1, pp 11416031141604, 2007. (DOI).

Application of a perfectly matched layer to the nonlinear wave equation. Daniel Appelö and Gunilla Kreiss. In Wave motion, volume 44, pp 531548, 2007. (DOI).

A conservative level set method for two phase flow II. Elin Olsson, Gunilla Kreiss, and Sara Zahedi. In Journal of Computational Physics, volume 225, pp 785807, 2007. (DOI).

Perfectly matched layers for hyperbolic systems: General formulation, wellposedness, and stability. Daniel Appelö, Thomas Hagstrom, and Gunilla Kreiss. In SIAM Journal on Applied Mathematics, volume 67, pp 123, 2006. (DOI).

Elimination of first order errors in shock calculations. Gunilla Kreiss, Gunilla Efraimsson, and Jan Nordström. In SIAM Journal on Numerical Analysis, volume 38, pp 19861998, 2001. (DOI).
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