Prof. Dr. Marcus Grote
|
Mathematisches Institut
Universität Basel Rheinsprung 21 CH-4051 Basel Switzerland |
Tel (+4161) 267 39 96
Fax (+4161) 267 26 95 Email: Marcus.Grote@unibas.ch |
Teaching
Office hours, Sprechstunde
- Dienstags, 13-14 Uhr (Tuesdays, 1-2pm)
Research
- Nonreflecting boundary conditions for numerical wave propagation
- Discontinuous Galerkin Finite Element Methods for wave equations
- Explicit local time stepping methods
- Inverse problems, full waveform inversion
- Spatially extended filtering, stochastic modeling
- Solution methods for sparse linear systems
Books
Recent publications, CV
- (with A. Abdulle), Finite Element Heterogeneous Multiscale Method for the Wave Equation, SIAM J. Multiscale Model. and Simul. 9, pp. 766--792 (2011).
- (with I. Sim), Local Nonreflecting Boundary Conditions for Time Dependent Multiple Scattering, J. Comp. Phys. 230, pp. 3135--3154 (2011).
- (with V. Palumberi, B. Wagner, A. Barbero and I. Martin), Dynamic Formation of Oriented Patches in Chondrocyte Cell Cultures, J. Math. Biol. 63, pp. 757--777 (2011).
- (with T. Mitkova), Explicit Local Time Stepping Methods for Maxwell's Equations, J. Comp. Appl. Math. 234, pp. 3283--3302 (2010).
- (with L. Beilina), Adaptive Hybrid Finite Element/Finite Difference Method for Maxwell's Equations, TWMS J. Pure Appl. Math., 1, pp. 176--198 (2010).
- (with A.J. Majda) Mathematical test models for superparametrization in anisotropic turbulence, Proc. Natl. Acad. Sci. USA, 106, pp. 5470--5474 (2009).
- (with M. Bollhöfer and O. Schenk), Algebraic Multilevel Preconditioner for the Helmholtz Equation in Heterogeneous Media, SIAM J. Sc. Computing 31, pp. 3781--3805 (2009).
- (with D. Schötzau), Optimal Error Estimates for the Fully Discrete Interior Penalty DG Method for the Wave Equation, J. Sc. Computing, vol. 40, pp. 257--272 (2009).
- (with J. Diaz), Energy Conserving Explicit Local Time Stepping for Second-Order Wave Equations, SIAM J. Sc. Computing, vol. 31, pp. 1985--2014 (2009).
- (with A. Schneebeli and D. Schötzau), Interior Penalty Discontinuous Galerkin Method for Maxwell's equations: Optimal L2-Norm Error Estimates, IMA J. Numer. Analysis, 28, pp. 440-468 (2008).
- (with A. Schneebeli and D. Schötzau), Interior Penalty Discontinuous Galerkin Method for Maxwell's equations: Energy Norm Error Estimates, J. Comput. Appl. Math., 204, pp. 375-386 (2007).
- (with C. Kirsch) Nonreflecting Boundary Conditions for Time Dependent Multiple Scattering, J. Comp. Physics, 221, pp. 41-62 (2007).
- (with A. Schneebeli and D. Schötzau), Discontinuous Galerkin Finite Element Method For The Wave Equation, SIAM J. Num. Analysis, 44, pp. 2408-2431 (2006).
- (with A.J. Majda) Stable Time Filtering of Strongly Unstable Spatially Extended Systems, Proc. Natl. Acad. Sciences 103, pp. 7548--7553 (2006).
- Local Nonreflecting Boundary Conditions for Maxwell's Equations, Comp. Meth. Appl. Mech. Engin. 195, pp. 3691--3708 (2006).
- Publications
- CV
Useful links
02.11.2005