Research Interests
$\bullet$ Numerical analysis.
$\bullet$ Computational partial differential equations.
$\bullet$ A priori and a posteriori error analysis.
$\bullet$ Adaptive finite element methods.
$\bullet$ Computational mechanics.
Selected Publications of JProf. Dr. Mira Schedensack
$\bullet$ G. Li, D. Peterseim, and M. Schedensack. Error analysis of a variational multiscale stabilization for convection-dominated diffusion equations in two dimensions. IMA J. Numer. Anal. (in press), drx027, 2017+. {doi.org/10.1093/imanum/drx027}
$\bullet$ H. Alaeian, M. Schedensack, C. Bartels, D. Peterseim, and M. Weitz. Thermo-optical interactions in a dye-microcavity photon Bose-Einstein condensate. New Journal of Physics, 19(11):115009, 2017.
$\bullet$ M. Schedensack. A new generalization of the $P_1$ non-conforming {FEM} to higher polynomial degrees. Comput. Methods Appl. Math., 17(1):161–185, 2017.
$\bullet$ M. Schedensack. Mixed finite element methods for linear elasticity and the Stokes equations based on the Helmholtz decomposition. ESAIM Math. Model. Numer. Anal., 51(2):399–425, 2017.
$\bullet$ D. Peterseim and M. Schedensack. Relaxing the {CFL} condition for the wave equation on adaptive meshes. J. Sci. Comput., 72(3):1196–1213, 2017.
$\bullet$ M. Schedensack. A new discretization for $m$th- Laplace equations with arbitrary polynomial degrees. SIAM J. Numer. Anal., 54(4):2138–2162, 2016.
$\bullet$ C. Kreuzer and M. Schedensack. Instance optimal Crouzeix- Raviart adaptive finite element methods for the Poisson and Stokes problems. IMA J. Numer. Anal., 36(2):593–617, 2016.
$\bullet$ C. Carstensen, B. D. Reddy, and M. Schedensack. A natural nonconforming {FEM} for the Bingham flow problem is quasi-optimal. Numer. Math., 133(1):37–66, 2016.
$\bullet$ S. C. Brenner, M. Oh, S. Pollock, K. Porwal, M. Schedensack, and N. S. Sharma. A $C^0$ interior penalty method for elliptic distributed optimal control problems in three dimensions with pointwise state constraints. In Topics in numerical partial differential equations and scientific computing, volume 160 of IMA Vol. Math. Appl., pages 1–22. Springer, New York, 2016.
$\bullet$ C. Carstensen, D. Peterseim, and M. Schedensack. Comparison results of finite element methods for the Poisson model problem. SIAM J. Numer. Anal., 50(6):2803–2823, 2012.
Current Cluster Publications of JProf. Dr. Mira Schedensack
$\bullet $ Johannes Riesselmann, Wilhelm Ketteler Jonas, Mira Schedensack, and Daniel Balzani. Three-field mixed finite element formulations for gradient elasticity at finite strains. GAMM-Mitteilungen, August 2019. doi:10.1002/gamm.202000002.