Forschungschwerpunkte

• Numerische Analysis
• Numerik partieller Differentialgleichungen
• A-Posteriori-Analysis und adaptive Finite-Elemente-Methoden
• Nicht-konforme Finite-Elemente-Methoden
• Probleme höherer Ordnung
• Partielle Differentialgleichungen aus der Mechanik

Publikationen

Artikel

Forschungsartikel (Zeitschriften)

• Riesselmann Johannes, Ketteler Jonas Wilhelm, und Schedensack Mira, Balzani Daniel. 2019. „Three‐field mixed finite element formulations for gradient elasticity at finite strains.“ GAMM-Mitteilungen, Nr. xxx doi: 10.1002/gamm.202000002.
• Li, G., Peterseim, D., und Schedensack, M. 2018. „Error analysis of a variational multiscale stabilization for convection-dominated diffusion equations in two dimensions.“ IMA Journal of Numerical Analysis, Nr. 38 (3): 1229–1253. doi: 10.1093/imanum/drx027.
• Jun, Hu, und Mira, Schedensack. 2018. „Two low-order nonconforming finite element methods for the Stokes flow in 3D.“ IMA Journal of Numerical Analysis, Nr. xxx doi: 10.1093/imanum/dry021.
• M., Schedensack. 2017. „Mixed finite element methods for linear elasticity and the Stokes equations based on the Helmholtz decomposition.“ ESAIM: Mathematical Modelling and Numerical Analysis, Nr. 51 (2): 399–425. doi: 10.1051/m2an/2016024.
• Peterseim, D., und Schedensack, M. 2017. „Relaxing the CFL Condition for the Wave Equation on Adaptive Meshes.“ Journal of Scientific Computing, Nr. 72 (3): 1196–1213. doi: 10.1007/s10915-017-0394-y.
• M., Schedensack. 2017. „A New Generalization of the P1 Non-Conforming FEM to Higher Polynomial Degrees.“ Computational Methods in Applied Mathematics, Nr. 17 (1): 161–185. doi: 10.1515/cmam-2016-0031.
• Hadiseh, Alaeian, Mira, Schedensack, Clara, Bartels, Daniel, Peterseim, und Martin, Weitz. 2017. „Thermo-optical interactions in a dye-microcavity photon Bose-Einstein condensate.“ New Journal of Physics, Nr. 19 doi: 10.1088/1367-2630/aa964c.
• Carstensen, C., Reddy, B., und Schedensack, M. 2016. „A natural nonconforming FEM for the Bingham flow problem is quasi-optimal.“ Numerische Mathematik, Nr. 133 (1): 37–66. doi: 10.1007/s00211-015-0738-1.
• M., Schedensack. 2016. „A new discretization for mth-Laplace equations with arbitrary polynomial degrees.“ SIAM Journal on Numerical Analysis, Nr. 54 (4): 2138–2162. doi: 10.1137/15M1013651.
• Kreuzer, C., und Schedensack, M. 2016. „Instance optimal Crouzeix-Raviart adaptive finite element methods for the Poisson and Stokes problems.“ IMA Journal of Numerical Analysis, Nr. 36 (2): 593–617. doi: 10.1093/imanum/drv019.
• Carstensen, C., Gallistl, D., und Schedensack, M. 2016. „L2 best approximation of the elastic stress in the Arnold-Winther FEM.“ IMA Journal of Numerical Analysis, Nr. 36 (3): 1096–1119. doi: 10.1093/imanum/drv051.
• Carstensen, C., Köhler, K., Peterseim, D., und Schedensack, M. 2015. „Comparison results for the Stokes equations.“ Applied Numerical Mathematics, Nr. 95: 118–129. doi: 10.1016/j.apnum.2013.12.005.
• Carstensen, C., Gallistl, D., und Schedensack, M. 2015. „Adaptive nonconforming Crouzeix-Raviart FEM for eigenvalue problems.“ Mathematics of Computation, Nr. 84 (293): 1061–1087. doi: 10.1090/S0025-5718-2014-02894-9.
• Carstensen, C., und Schedensack, M. 2015. „Medius analysis and comparison results for first-order finite element methods in linear elasticity.“ IMA Journal of Numerical Analysis, Nr. 35 (4): 1591–1621. doi: 10.1093/imanum/dru048.
• Gallistl, D., Schedensack, M., und Stevenson, R. 2014. „A remark on newest vertex bisection in any space dimension.“ Computational Methods in Applied Mathematics, Nr. 14 (3): 317–320. doi: 10.1515/cmam-2014-0013.
• Carstensen, C., Gallistl, D., und Schedensack, M. 2013. „Discrete reliability for Crouzeix-Raviart FEMs.“ SIAM Journal on Numerical Analysis, Nr. 51 (5): 2935–2955. doi: 10.1137/130915856.
• Carstensen, C., Gallistl, D., und Schedensack, M. 2013. „Quasi-optimal adaptive pseudostress approximation of the Stokes equations.“ SIAM Journal on Numerical Analysis, Nr. 51 (3): 1715–1734. doi: 10.1137/110852346.
• Carstensen, C, Peterseim, D, und Schedensack, M. 2012. „Comparison results of finite element methods for the Poisson model problem.“ SIAM J. Numer. Anal., Nr. 50 (6): 2803–2823. doi: 10.1137/110845707.

Forschungsartikel (Buchbeiträge)

• Brenner, S., Oh, M., Pollock, S., Porwal, K., Schedensack, M., und Sharma, N. 2016. „A $C^0$ interior penalty method for elliptic optimal control problems with pointwise state constraints in three dimensions.“ In Topics in Numerical Partial Differential Equations and Scientific Computing, Bd. 160 aus The IMA Volumes in Mathematics and its Applications, herausgegeben von Brenner Susanne C.. doi: 10.1007/978-1-4939-6399-7.

Qualifikationsschriften (Dissertationen, Habilitationsschriften)

• M., Schedensack. 2015. „A class of mixed finite element methods based on the Helmholtz decomposition in computational mechanics.“ Dissertationsschrift, Humboldt-Universität zu Berlin.