Prof. Dr. Sven Beuchler

E-Mail: beuchler(at)
Telefon: +49 228 73 3861
Fax: +49 228 73 3381
Raum: 4.010
Standort: Wegelerstr. 6
Institute: Institute for Numerical Simulation
Forschungsbereiche: Research Area B
Research Area J
Geburtsdatum: 24.Jul 1975
Mathscinet-Number: 707458

Academic Career


Dipl. Math., TU Chemnitz


Dr. rer. nat., TU Chemnitz

2003 - 2008

Postdoc, RICAM/JKU Linz, Austria


Habilitation (Priv.-Doz.), JKU Linz, Austria

2008 - 2010

Senior-Postdoc, RICAM Linz, Austria

Since 2011

Professor (C3), University of Bonn

Research Profile

My main research area is the analysis and implementation of fast solution algorithms for the approximate solution of boundary value problems of elliptic partial differential equations. On the one hand, this includes efficient discretization schemes based on hp finite elements, see e.g. [1] and [2] for optimal control problems. On the other hand, the solution of the discretized problem has to be done very fast. This requires the construction of suitable quasiorthogonal basis functions on triangular and tetrahedral finite element meshes [3], as well as efficient solvers based on multilevel and domain decomposition techniques [4],[5].

Research Projects and Activities

FWF-project P20121-N18, “Fast hp-solvers for elliptic and mixed problems”
Project leader, 2008 - 2011, 1 PhD position

DFG Collaborative Research Center SFB 1060 “The Mathematics of Emergent Effects”, Project B7
together with Mario Bebendorf, 2013 - 2015, 1 PhD position

FWF-project P23484-N18, “hp-FEM for optimal control problems”
Co-project leader, 2011 - 2016, 2 PhD positions together with D. Wachsmuth

Contribution to Research Areas

Research Area B
I started in Bonn in January, 2011.
One research area of the last years was the development of interface concentrated finite element solvers [1] and the application of interface concentrated finite element methods for discretizations of optimal control problems with Neumann boundary control [2].

Selected Publications

[1] Sven Beuchler, Tino Eibner, Ulrich Langer
Primal and dual interface concentrated iterative substructuring methods
SIAM J. Numer. Anal. , 46: (6): 2818--2842
DOI: 10.1137/070691723
[2] Sven Beuchler, Clemens Pechstein, Daniel Wachsmuth
Boundary concentrated finite elements for optimal boundary control problems of elliptic PDEs
Comput. Optim. Appl. , 51: (2): 883--908
DOI: 10.1007/s10589-010-9370-2
[3] S. Beuchler, J. Schöberl
New shape functions for triangular p-FEM using integrated Jacobi polynomials
Numer. Math. , 103: (3): 339--366
DOI: 10.1007/s00211-006-0681-2
[4] Sven Beuchler
Wavelet solvers for hp-FEM discretizations in 3D using hexahedral elements
Comput. Methods Appl. Mech. Engrg. , 198: (13-14): 1138--1148
DOI: 10.1016/j.cma.2008.06.014
[5] Sven Beuchler, Dietrich Braess
Improvements for some condition number estimates for preconditioned system in p-FEM
Numer. Linear Algebra Appl. , 13: (7): 573--588
DOI: 10.1002/nla.489
[6] S. Beuchler, R. Schneider, C. Schwab
Multiresolution weighted norm equivalences and applications
Numer. Math. , 98: (1): 67--97
DOI: 10.1007/s00211-003-0491-8
[7] Sven Beuchler, Sergey V. Nepomnyaschikh
Overlapping additive Schwarz preconditioners for elliptic problems with degenerate locally anisotropic coefficients
SIAM J. Numer. Anal. , 45: (6): 2321--2344
DOI: 10.1137/060675678
[8] S. Beuchler, K. Hofer, D. Wachsmuth, J.-E. Wurst
Boundary concentrated finite elements for optimal control problems with distributed observation
Comput. Optim. Appl. , 62: (1): 31--65
DOI: 10.1007/s10589-015-9737-5
[9] Sven Beuchler, Veronika Pillwein, Sabine Zaglmayr
Sparsity optimized high order finite element functions for {H(div)} on simplices
Numer. Math. , 122: (2): 197--225
DOI: 10.1007/s00211-012-0461-0
[10] Sven Beuchler, Veronika Pillwein, Sabine Zaglmayr
Sparsity optimized high order finite element functions for H(curl) on tetrahedra
Adv. in Appl. Math. , 50: (5): 749--769
DOI: 10.1016/j.aam.2012.11.004
[11] Sven Beuchler
Multigrid solver for the inner problem in domain decomposition methods for P-FEM
SIAM J. Numer. Anal. , 40: (3): 928--944
DOI: 10.1137/S0036142901393851

Publication List

Selected Invited Lectures


HOFEIM 2011: Higher Order Finite Element and Isogeometric Methods, Krakow, Poland

Selected PhD students

Katharina Hofer (current PhD student, 2012 - 2016)

Supervised Theses

  • Master theses: 3
  • PhD theses: 1
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