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

Forschungsartikel (Buchbeiträge)

• Brenner S., Oh M., Pollock S., Porwal K., Schedensack M., 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, edited by Brenner Susanne C., 1–22. doi: 10.1007/978-1-4939-6399-7.

Qualifikationsschriften (Dissertationen, Habilitationsschriften)

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