Institute for
Numerical Simulation

Research Group
A. Chernov

Prof. Dr. Alexey Chernov

Address:	Hausdorff Center for Mathematics Endenicher Allee 60 53115 Bonn Germany
Office:	LWKAlt 4.029
Phone:	+49 228 73 622 46
Fax:	+49 228 73 622 51
E-Mail:	chernovhcm.uni-bonn.de
See also:	http://www.hausdorff-center.uni-bonn.de/homepages/prof-dr-alexey-chernov/

Teaching

• WS 2011/2012:
  Seminar Graduate Seminar on Numerical Simulation , module S4E2
  
• SS 2011:
  Lecture Selected Topics in Scientific Computing - Numerical Methods for Nonlinear Variational Problems, module V5E2
  
• SS 2011:
  Seminar Numerische Optimierung, module S1G1
  
• WS 2010/2011:
  Lecture Selected Topics in Scientific Computing - Computing with High Order Finite Elements, module V5E2
  
• WS 2010/2011:
  Post-graduate Seminar Graduate Seminar on Numerical Simulation, module S4E2
  
• SS 2010:
  Lecture Selected Topics in Scientific Computing - Numerical Methods for Stochastic PDEs, module V5E2
  
• SS 2010:
  Seminar Hauptseminar Wissenschaftliches Rechnen, module S2E2
  
• WS 2009/2010:
  Lecture Wissenschaftliches Rechnen III (Numerical Algorithms), module V4E1
  
• SS 2009:
  Lecture Advanced Topics in Scientific Computing - Bouldary integral equations, module V5E1
  
• SS 2009:
  Numerische lineare Algebra, module S1G1
  Seminar with Prof. Dr. Holger Rauhut.
• WS 2008/2009:
  p- and hp- Finite Element Methods, module V5E1
  Lecture with Dr. Kersten Schmidt.

Publications

Preprints:

[1]	K. Schmidt and A. Chernov. Robust families of transmission conditions of high order for thin conducting sheets. Preprint 1102, Institut for Numerical Simulation, University of Bonn, Feb 2011. Submitted. [ bib | .pdf 1 ]
[2]	A. Chernov, T. von Petersdorff, and C. Schwab. Quadrature algorithms for high dimensional singular integrands on simplices. Preprint 1110, Institute for Numerical Simulation, University of Bonn, 2011. Submitted. [ bib | .pdf 1 ]
[3]	A. Chernov and A. Reinarz. Numerical quadrature for high-dimensional singular integrals over parallelotopes. Preprint 1112, Institute for Numerical Simulation, University of Bonn, 2011. Submitted. [ bib | .pdf 1 ]
[4]	A. Chernov and C. Schwab. First order k-th moment finite element analysis of nonlinear operator equations with stochastic data. Preprint 2011b06, Hausdorff Research Institute for Mathematics, University of Bonn, 2011. Submitted. [ bib | .pdf 1 ]
[5]	A. Chernov and C. Schwab. Sparse space-time Galerkin BEM for the nonstationary heat equation. Preprint 2011b10, Hausdorff Research Institute for Mathematics, University of Bonn, 2011. Submitted. [ bib | .pdf 1 ]

Journal Papers:

[1]	A. Chernov. Optimal convergence estimates for the trace of the polynomial L2-projection operator on a simplex. Mathematics of Computation, 81(278):765-787, 2012. Also available as INS Preprint 1002. [ bib | DOI | http | .pdf 1 | .pdf 1 ]
[2]	A. Chernov and C. Schwab. Exponential convergence of Gauss-Jacobi quadratures for singular integrals over high dimensional simplices. SIAM J. Numer. Anal., 2012. Accepted. Also available as INS Preprint 1005. [ bib | .pdf 1 ]
[3]	A. Chernov. Sparse polynomial approximation in positive order Sobolev spaces with bounded mixed derivatives and applications to elliptic problems with random loading. Appl. Numer. Math., 2011. Accepted. Also available as INS Preprint 1003. [ bib | DOI | http | .pdf 1 | .pdf 1 ]
[4]	A. Chernov and P. Hansbo. An hp-Nitsche’s method for interface problems with nonconforming unstructured finite element meshes, volume 76 of Lecture Notes in Computational Science and Engineering, pages 153-162. Springer, 2011. [ bib | http ]
[5]	A. Chernov, T. von Petersdorff, and C. Schwab. Exponential convergence of hp quadrature for integral operators with gevrey kernels. ESAIM Math. Model. Numer. Anal. (M2AN), 45(3):387-422, 2011. [ bib | DOI | http | .pdf 1 ]
[6]	D. Pham, T. Tran, and A. Chernov. Pseudodifferential equations on the sphere with spherical splines. Math. Models Methods Appl. Sci. (M3AS), 2011. Accepted. Also available at UNSW: Applied Mathematics Report 10/1. [ bib | DOI | .html | .pdf 1 | .pdf 1 ]
[7]	A. Chernov and C. Schwab. Sparse p-version BEM for first kind boundary integral equations with random loading. Appl. Numer. Math., 59(11):2698-2712, 2009. [ bib | DOI | http | .pdf 1 ]
[8]	A. Chernov. Abstract sensitivity analysis for nonlinear equations and applications. In Numerical Mathematics and Advanced Applications, ENUMATH 2007, pages 407-414, Berlin, Heidelberg, 2008. [ bib | http ]
[9]	A. Chernov, M. Maischak, and E. P. Stephan. hp-mortar boundary element method for two-body contact problems with friction. Math. Methods Appl. Sci., 31(17):2029-2054, 2008. [ bib | DOI | http | http ]
[10]	A. Chernov, M. Maischak, and E. P. Stephan. A priori error estimates for hp penalty BEM for contact problems in elasticity. Comput. Methods Appl. Mech. Engrg., 196(37-40):3871-3880, 2007. [ bib | http | .pdf 1 ]
[11]	A. Chernov and E. P. Stephan. Adaptive BEM for contact problems with friction. In IUTAM Symposium on Computational Methods in Contact Mechanics, volume 3 of IUTAM Bookser., pages 113-122. Springer, Dordrecht, 2007. [ bib | http ]
[12]	A. Chernov, S. Geyn, M. Maischak, and E. P. Stephan. Finite element/boundary element coupling for two-body elastoplastic contact problems with friction. In Analysis and Simulation of Contact Problems, volume 27 of Lecture Notes in Applied and Computational Mechanics, pages 171-178. Springer, Berlin, Heidelberg, 2006. [ bib | http ]

Proceeding Papers:

[1]	A. Chernov. p-sparse BEM for weakly singular integral equation with random data. In proceedings of ICIAM 2007, Zurich, Switzerland, pages 1080201-1080202, 2009. [ bib | http ]
[2]	A. Chernov and C. Schwab. Efficient solution of elliptic bies with random loading or on a random boundary. In Analysis of Boundary Element Methods, volume 19 of Oberwolfach Report, pages 6-9, 2008. [ bib | http ]
[3]	A. Chernov, M. Maischak, and E. P. Stephan. hp-mortar boundary element method and FE/BE coupling for multibody contact problems with friction. In proceedings of ECCM 2006, Lisbon, Portugal, 2006. [ bib ]
[4]	A. Chernov and E. P. Stephan. Adaptive hp-version of mortar BEM for two-body contact problems in elasticity. DtN and uzawa algorithms. In proceedings of IABEM 2006, Graz, Austria, 2006. [ bib ]
[5]	A. Chernov and A. Koldoba. Propagation of the gasless burning wave. numerical and mathematical modeling. In proceedings of scientific conference ”Lomonosov Readings”, Moscow, Russia, 2003. [ bib ]
[6]	A. Chernov and A. Koldoba. Thermal-diffusive instability of the deflagration front. In proceedings of XIV Conference ”Theoretical Basis and Construction of Numerical Algorithms for Problems of Mathematical Physics”. Durso, Russia, 2002. [ bib ]

Thesis:

[1]	A. Chernov. Nonconforming boundary elements and finite elements for interface and contact problems with friction - hp-version for mortar, penalty and Nitsche's methods. PhD thesis, Universität Hannover, 2006. [ bib | .pdf 1 ]