Gunilla Kreiss – Professor in Numerical Analysis
Head of Division (Scientific Computing)
Head of Research
Head of Research
Address: | Division of Scientific Computing Department of Information Technology Uppsala University Box 337 SE-751 05 Uppsala Sweden |
Visit: | ITC building 2, floor 4, room 2442 |
Phone: | +46 18 - 471 2968 |
Mobile: | +46 70 167 90 16 |
Fax: |
+46 18 523049 +46 18 511925 |
Email: | Gunilla.Kreiss@it.uu.se |
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.
Navier-Stokes 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
Publications
- Finite difference methods. In Encyclopedia of Applied and Computational Mathematics, pp 516-521, Springer, 2015. (DOI).
- Boundary conditions and stability of a perfectly matched layer for the elastic wave equation in first order form. In Journal of Computational Physics, volume 303, pp 372-395, 2015. (DOI).
- Interface waves in almost incompressible elastic materials. In Journal of Computational Physics, volume 303, pp 313-330, 2015. (DOI).
- Coupling of Gaussian beam and finite difference solvers for semiclassical Schrödinger equations. In Advances in Applied Mathematics and Mechanics, volume 7, pp 687-714, 2015. (DOI, fulltext).
- Stable and high-order accurate boundary treatments for the elastic wave equation on second-order form. In SIAM Journal on Scientific Computing, volume 36, pp A2787-A2818, 2014. (DOI).
- Boundary waves and stability of the perfectly matched layer for the two space dimensional elastic wave equation in second order form. In SIAM Journal on Numerical Analysis, volume 52, pp 2883-2904, 2014. (DOI).
- Numerical interaction of boundary waves with perfectly matched layers in two space dimensional elastic waveguides. In Wave motion, volume 51, pp 445-465, 2014. (DOI).
- Efficient and stable perfectly matched layer for CEM. In Applied Numerical Mathematics, volume 76, pp 34-47, 2014. (DOI).
- A delayed feedback control for network of open canals. In International Journal of Dynamics and Control, volume 1, pp 316-329, 2013. (DOI).
- A Riemann problem at a junction of open canals. In Journal of Hyperbolic Differential Equations, volume 10, pp 431-460, 2013. (DOI).
- Discrete stability of perfectly matched layers for anisotropic wave equations in first and second order formulation. In BIT Numerical Mathematics, volume 53, pp 641-663, 2013. (DOI).
- A uniformly well-conditioned, unfitted Nitsche method for interface problems. In BIT Numerical Mathematics, volume 53, pp 791-820, 2013. (DOI).
- High order stable finite difference methods for the Schrödinger equation. In Journal of Scientific Computing, volume 55, pp 173-199, 2013. (DOI).
- On the accuracy and stability of the perfectly matched layer in transient waveguides. In Journal of Scientific Computing, volume 53, pp 642-671, 2012. (DOI).
- Stability at nonconforming grid interfaces for a high order discretization of the Schrödinger equation. In Journal of Scientific Computing, volume 53, pp 528-551, 2012. (DOI).
- An algebraic approach for controlling cascade of reaches in irrigation canals. In Problems, Perspectives and Challenges of Agricultural Water Management, pp 369-390, InTech, Rijeka, Croatia, 2012.
- A well-posed and discretely stable perfectly matched layer for elastic wave equations in second order formulation. In Communications in Computational Physics, volume 11, pp 1643-1672, 2012. (DOI).
- Spurious currents in finite element based level set methods for two-phase flow. In International Journal for Numerical Methods in Fluids, volume 69, pp 1433-1456, 2012. (DOI).
- A computer-assisted proof of the existence of traveling wave solutions to the scalar Euler equations with artificial viscosity. In NoDEA. Nonlinear differential equations and applications (Printed ed.), volume 19, pp 97-131, 2012. (DOI).
- An optimized perfectly matched layer for the Schrödinger equation. In Communications in Computational Physics, volume 9, pp 147-179, 2011. (DOI).
- A computer-assisted proof of the existence of solutions to a boundary value problem with an integral boundary condition. In Communications in nonlinear science & numerical simulation, volume 16, pp 1227-1243, 2011. (DOI).
- Numerical Mathematics and Advanced Applications: 2009. Springer-Verlag, Berlin, 2010.
- Stable perfectly matched layers for the Schrödinger equations. In Numerical Mathematics and Advanced Applications: 2009, pp 287-295, Springer-Verlag, Berlin, 2010. (DOI).
- A perfectly matched layer applied to a reactive scattering problem. In Journal of Chemical Physics, volume 133, pp 054306:1-11, 2010. (DOI).
- Direct numerical simulations of localized disturbances in pipe Poiseuille flow. In Computers & Fluids, volume 39, pp 926-935, 2010. (DOI).
- Analysis of stretched grids as buffer zones in aero-acoustic simulations. In Proc. 15th AIAA/CEAS Aeroacoustics Conference, volume 2009-3113 of Conference Proceeding Series, AIAA, 2009.
- A conservative level set method for contact line dynamics. In Journal of Computational Physics, volume 228, pp 6361-6375, 2009. (DOI).
- A hybrid level-set Cahn–Hilliard model for two-phase flow. In Proc. 1st European Conference on Microfluidics, pp 59:1-10, La Société Hydrotechnique de France, 2008. (fulltext).
- An interface capturing method for two-phase flow with moving contact lines. In Proc. 1st European Conference on Microfluidics, pp 118:1-10, La Société Hydrotechnique de France, 2008. (fulltext).
- Analysis of stresses in two-dimensional isostatic granular systems. In Physica A: Statistical Mechanics and its Applications, volume 387, pp 6263-6276, 2008. (DOI).
- Stress chain solutions in two-dimensional isostatic granular systems: Fabric-dependent paths, leakage, and branching. In Physical Review Letters, volume 101, pp 098001:1-4, 2008. (DOI).
- Stability of viscous shocks on finite intervals. In Archive for Rational Mechanics and Analysis, volume 187, pp 157-183, 2008. (DOI).
- Modeling of contact line dynamics for two-phase flow. In Proceedings in Applied Mathematics and Mechanics: PAMM, volume 7, number 1, pp 1141603-1141604, 2007. (DOI).
- Application of a perfectly matched layer to the nonlinear wave equation. In Wave motion, volume 44, pp 531-548, 2007. (DOI).
- A conservative level set method for two phase flow II. In Journal of Computational Physics, volume 225, pp 785-807, 2007. (DOI).
- Perfectly matched layers for hyperbolic systems: General formulation, well-posedness, and stability. In SIAM Journal on Applied Mathematics, volume 67, pp 1-23, 2006. (DOI).
- Elimination of first order errors in shock calculations. In SIAM Journal on Numerical Analysis, volume 38, pp 1986-1998, 2001. (DOI).