Volker Elling
I am an Associate Professor in the
Mathematics
Department
at University of
Michigan.
I work on hyperbolic systems
of conservation laws, with focus on selfsimilar solutions and mixedtype and degenerate problems.
My email: velling@umich.edu
Office: East Hall 2856
Grants
NSF CAREER grant (20112016)
Sloan Research Fellowship (20112013)
Rackham Spring/Summer Research Grant (summer 2010)
Rackham Faculty Research Grant (2010/11)
NSF DMS0904074 (20092012)
Publications
In scientific journals:

Realizing distributed computational laboratories
Beth Plale, Volker Elling, Greg Eisenhauer, Karsten Schwan,
Davis King,
Vernard Martin
Int. J. of Parallel and Distributed Systems and Networks, Vol 2.,
No. 3,
1999

A possible counterexample to wellposedness of entropy solutions and to Godunov scheme convergence
Volker Elling
Preprint arXiv:math.NA/0509333 (older versions: Technical report SCCM0305, SCCM Program, Stanford University, 2003)
Mathematics of Computation, Vol. 75 no. 256 (2006), p. 17211733

A LaxWendroff type theorem for unstructured quasiuniform grids
Volker Elling
Preprint arXiv:math.NA/0509331
(older versions: Technical report SCCM0307, SCCM Program, Stanford University, 2003)
Mathematics of Computation, vol. 76, no. 257 (2007), p. 251272

The ellipticity principle for selfsimilar polytropic potential flow
Volker Elling, TaiPing Liu
Preprint arXiv:math.AP/0509332
(older versions: Technical report SCCM0401, SCCM Program, Stanford University, 2004)
Journal of Hyperbolic Differential Equations, Vol. 2, No. 4 (December 2005), p. 909917

The carbuncle phenomenon is incurable
Volker Elling
Acta Math. Sci. (ser. B) vol. 29 no. 6 (2009), p. 16471656

Supersonic flow onto a solid wedge
Volker Elling and TaiPing Liu
Preprint arXiv:0707.2108 [mathph]
Communications on Pure and Applied Mathematics, vol. 61 no. 10 (Oct. 2008), p. 13471448

Regular reflection in selfsimilar potential flow and the sonic criterion
Volker Elling
Preprint arXiv:0710.0104 [mathph]
Commun. Math. Anal., vol. 8 no. 2 (2010), p. 2269

Counterexamples to the sonic criterion
Volker Elling
Preprint arXiv:0810.2137 [mathph]
Arch. Rat. Mech. Anal., vol. 195 no. 3 (Dec. 2009), p. 9871010

Instability of strong regular reflection and counterexamples to the detachment criterion
Volker Elling
Preprint arXiv:0908.0106 [mathph]
SIAM J. Appl. Math., vol. 70 no. 4 (2009), p. 13301340

Hölder continuity and differentiability on converging subsequences
Volker Elling
Accepted by Acta Math. Sci.

Nonexistence of strong regular reflections in selfsimilar potential flow
Volker Elling
Preprint arXiv:1104.0330
Accepted by J. Diff. Eqns.

Existence of multibranched algebraic vortex spirals
Volker Elling
submitted

Steady selfsimilar inviscid flow
Volker Elling and Joseph Roberts
Preprint arXiv:1104.0331
submitted
Other scientific publications:

A spectral method for mapping dataflow graphs
Volker Elling
Master's Thesis, Georgia Institute of Technology, 1998

Mincut methods for mapping dataflow graphs
Volker Elling, Karsten Schwan
In: Proceedings of EuroPar '99, pages 203212, Lecture Notes in Computer Science 1685, Springer 1999

Numerical simulation of gas flow in moving domains
Volker Elling
Diploma thesis, RWTH Aachen, Germany, 2000

A LaxWendroff type theorem for unstructured grids
Volker Elling
Ph.D. dissertation, SCCM Program, Stanford University, 2004

Carbuncles as similar entropy solutions
Volker Elling
Preprint arXiv:math.AP/0609666

Nonuniqueness of entropy solutions and the carbuncle phenomenon
Volker Elling
Hyperbolic Problems. Theory, Numerics and Applications. (Proceedings of the 10th Conference on Hyperbolic Problems (HYP2004), Osaka, Japan, September 1317, 2004). Vol. I, p. 375382

Physicality of Weak PrandtlMeyer Reflection
Volker Elling, TaiPing Liu
Mathematical Analysis in Fluid and Gas Dynamics. (RIMS Kokyuroku no. 1495, May 2006, Research Institute for Mathematical Sciences, Kyoto University.) Pages 112117.

Exact solutions to supersonic flow onto a solid wedge
Volker Elling, TaiPing Liu
Hyperbolic Problems. Theory, Numerics, Applications. (Proceedings of the 11th Conference on Hyperbolic Problems (HYP2006), Lyon, France, July 1721, 2006), p. 101112

Counterexamples to the sonic and detachment criteria
Volker Elling
Hyperbolic Problems. Theory, Numerics, Applications. (Proceedings of the 12th Conference on Hyperbolic Problems (HYP2008), College Park, MD, USA, June 2008)