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Bastian group


Principal investigator:
Interdisziplinäres Zentrum für Wissenschaftliches Rechnen
Universität Heidelberg
Im Neuenheimer Feld 368
D-69120 Heidelberg

Tel.:
+49-6221-548261
Fax:
+49-6221-548884
Internet:
Email:
peter.bastian@iwr.uni-heidelberg.de
 

General research interests and goals:


Our group is situated at the Interdisciplinary Center for Scientific Computing and concentrates on the efficient and accurate solution of partial differential equations, high-performance computing and applications in flows in porous media and computational neuroscience. Although these application domains are quite different many of the computational techniques can be transferred between application areas. Our main work areas are:
• Accurate discretization schemes (such as discontinuous Galerkin methods), adaptive mesh refinement and efficient solution of the arising algebraic equations (e.g. algebraic multigrid methods).
• Implementation of these methods in a general purpose software framework DUNE (see http://www.dune-project.org). Through the use of generic programming techniques high flexibility can be achieved without a large performance penalty.

Project:


C1

Current group members:

PostDocs: Jurgis Pods / Johannes Schönke
Associates: Dr. Panagiotis Drouvelis

Key publications:

Pods J (2015) A Comparison of Computational Models for the Extracellular Potential of Neurons arXiv:1509.01481 .
Pods J (2014) Electrodiffusion Models of Neurons and Extracellular Space Using the Poisson-Nernst-Planck Equations - Numerical Simulation of the Intra- and Extracellular Potential for an Axon Model. PhD Thesis, Heidelberg University .
Pods J, Schönke J, Bastian P (2013) Electrodiffusion Models of Neurons and Extracellular Space Using the Poisson-Nernst-Planck Equations - Numerical Simulation of the Intra- and Extracellular Potential for an Axon Model Biophysical Journal. 105(1):242-254 .
Schönke J (2012) Unsteady analytical solutions to the Poisson–Nernst–Planck equations Journal of Physics A: Mathematical and Theoretical. 45: 455204 .