List of Publications:



Preprints
[1] G. Birke, C. Engwer, J. Giesselmann, S. May. Error analysis of a first-order DoD cut cell method for 2D unsteady advection. arXiv, 2024.
 


Refereed Journals
[13] S. May, F. Laakmannn. Accuracy analysis for explicit-implicit finite volume schemes on cut cell meshes. Commun. Appl. Math. Comput. (CAMC), 2024.
[12] S. May, F. Thein. Explicit implicit domain splitting for two phase flows with phase transition. Physics of Fluids, vol. 35, 016108, 2023.
[11] S. May, F. Streitbuerger. DoD Stabilization for non-linear hyperbolic conservation laws on cut cell meshes in one dimension. Appl. Math. Comput., vol. 419, 126854, 2022.
[10] T. Schorlepp, T. Grafke, S. May, R. Grauer. Spontaneous symmetry breaking for extreme vorticity and strain in the 3D Navier-Stokes equations. Philos. Trans. Royal Soc. A., vol. 38, 20210051, 2022.
[9] X. Kerkhoff, S. May. Commutative properties for conservative space-time DG discretizations of optimal control problems involving the viscous Burgers equation. Math. Control Relat. Fields., 2023 (online first 2021).
[8] C. Engwer, S. May, A. Nuessing, F. Streitbuerger. A stabilized DG cut cell method for discretizing the linear transport equation. SIAM J. Sci. Comput., vol. 42, no. 6, pp. A3677-A3703, 2020.
[7] A. Hiltebrand, S. May. Entropy stable spacetime discontinuous Galerkin methods for the two-dimensional compressible Navier-Stokes equations. Comm. Math. Sci., vol. 16, no. 8, pp. 2095-2124, 2018.
[6] S. May. Spacetime discontinuous Galerkin methods for solving convection-diffusion systems . M2AN, vol. 51, no. 5, pp. 1755-1781, 2017.
[5] S. May, M. Berger. An Explicit Implicit Scheme for Cut Cells in Embedded Boundary Meshes . J. Sci. Comput., vol. 71, no. 3, pp. 919-943, 2017.
[4] S. May, M. Berger. Two-dimensional slope limiters for finite volume schemes on non-coordinate-aligned meshes. SIAM J. Sci. Comput., vol. 35, no. 2, pp. A2163-A2187, 2013.
[3] S. May, R. Rannacher, and B. Vexler. Error analysis for a finite element approximation of elliptic Dirichlet boundary control problems. SIAM J. Control Optim., vol. 51, no. 3, pp. 2585-2611, 2013.
[2] A. Nonaka, S. May, A. S. Almgren, J. B. Bell. A three-dimensional, unsplit Godunov method for scalar conservation laws. SIAM J. Sci. Comput., vol. 33, no. 4, pp. 2039-2062, 2011.
[1] S. May, A. Nonaka, A. S. Almgren, J. B. Bell. An unsplit, higher order Godunov method using quadratic reconstruction for advection in two dimensions. Comm. App. Math. and Comp. Sci., vol. 6, no. 1, pp. 27-61, 2011.
 


Refereed Proceedings and Oberwolfach reports
[11] G. Birke, C. Engwer, S. May, F. Streitbuerger. Domain of Dependence stabilization for the acoustic wave equation on 2D cut-cell meshes. Finite Volumes for Complex Applications X, 2023.
[10] G. Birke, C. Engwer, S. May, F. Streitbuerger. DoD stabilization of linear hyperbolic PDEs on general cut-cell meshes. PAMM 2022, 202200198, 2023.
[9] F. Streitbuerger, G. Birke, C. Engwer, S. May. DoD stabilization for higher-order advection in two dimensions. ICOSAHOM 2020+1, vol. 137, pp. 495-508, 2023.
[8] F. Streitbuerger, C. Engwer, S. May, A. Nuessing. Monotonicity considerations for stabilized DG cut cell schemes for the unsteady advection equation. Numerical Mathematics and Advanced Applications, pp. 929-937, Springer, 2021.
The final publication is available at link.springer.com.
[7] S. May. Time-dependent conservation laws on cut cell meshes and the small cell problem. Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples, pp. 33-53, Springer, 2020.
The final publication is available at link.springer.com.
[6] S. May, M. Berger, F. Laakmann. Accuracy considerations of mixed explicit implicit schemes for embedded boundary meshes . PAMM. Proc. Appl. Math. Mech., 201900411, 2019.
[5] S. May (joint with C. Engwer, A. Nuessing, F. Streitbuerger). A stabilized DG cut cell method for discretizing the linear transport equation. Oberwolfach Report, Workshop: Nonlinear Hyperbolic Problems: Modeling, Analysis, and Numerics, Report no. 24/2019, 2019.
[4] S. May (joint with X. Kerkhoff). Towards optimal control for compressible Navier-Stokes. Oberwolfach Report, Mini-Workshop: Numerical Analysis for Non-Smooth PDE-Constrained Optimal Control Problems, Report no. 55/2018, 2018.
[3] S. May. Spacetime discontinuous Galerkin methods for convection-diffusion equations. Bull. Braz. Math. Soc., New Series, vol 47(2), pp. 561-573, Sociedade Brasileira de Matematica, 2016.
[2] S. May, M. Berger. A mixed explicit implicit time stepping scheme for Cartesian embedded boundary meshes. Finite Volumes for Complex Applications VII - Methods and Theoretical Aspects, pp. 393-400, Springer, 2014.
The final publication is available at link.springer.com.
[1] S. May, R. Rannacher, and B. Vexler. A priori error analysis for the finite element approximation of elliptic Dirichlet boundary control problems. Numerical Mathematics and Advanced Applications, pp. 637-644, Springer, 2008.