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Article


September 27, 2008

Bibliography

1

A. Anwander, M. Kuhn, S. Reitzinger, and C. Wolters.
A parallel algebraic multigrid solver for the finite element method based source localization in the human brain.
Computing and Visualization in Science, 5(3):165-177, December 2002.

2

T. Apel, S. Nicaise, and J. Schöberl.
Crouzeix-Raviart type finite elements on anisotropic meshes.
Numerische Mathematik, 89(2):193-223, 2001.

3

T. Apel, S. Nicaise, and J. Schöberl.
A non-conforming finite element method with anisotropic mesh grading for the Stokes problem in domains with edges.
IMA Journal of Numerical Analysis, 21:843-856, 2001.

4

T. Apel and J. Schöberl.
Multigrid methods for anisotropic edge refinement.
SIAM J. Numer. Anal, 40(5):1993-2006, 2002.

5

F. Bachinger, U. Langer, and J. Schöberl.
Numerical analysis of nonlinear multiharmonic eddy current problems.
Numerische Mathematik, 100:593-616, 2005.

6

S. Beuchler, T. Eibner, and U. Langer.
Primal and dual interface concentrated iterative substructuring methods.
submitted, 2007.
see also RICAM-Report Nr. 2007-7.

7

S. Beuchler and V. Pillwein.
Sparse shape functions for tetrahedral $p$-FEM using integrated Jacobi polynomails.
Computing, 80(4):345-375, 2007.

8

S. Beuchler and J. Schöberl.
Extension operators on tensor product structures in 2d and 3d.
Applied Numerical Mathematics, 54:391-405, 2005.

9

S. Beuchler and J. Schöberl.
New shape functions for triangular p-FEM using integrated Jacobi polynomials.
Num. Math., 103:339-366, 2006.

10

M. Brokate, C. Carstensen, and J. Valdman.
A quasi-static boundary value problem in multi-surface elastoplasticity: Part 1 - Analysis.
Mathematical methods in the applied sciences, 27:1697-1710, 2004.

11

M. Brokate, C. Carstensen, and J. Valdman.
A quasi-static boundary value problem in multi-surface elastoplasticity: Part 2 - Numerical solution.
Mathematical Models and Methods in Applied Sciences, 28(8):881-901, 2005.

12

C. Carstensen, A. Orlando, and J. Valdman.
A convergent adaptive finite element method for the primal problem of elastoplasticity.
Inter. J. Numer. Meth. Engns., 67(13):1851-1887, 2007.

13

C. Carstensen and J. Schöberl.
Residual-based a posteriori error estimate for a mixed Reissner-Mindlin plate finite element method.
Numerische Mathematik, 103:225-250, 2006.

14

Z. Dostál and J. Schöberl.
Minimizing quadratic functions over non-negative cone with the rate of convergence and finite termination.
Computational Optimization and Applications, 30:23-44, 2005.

15

J. Gerstmayr and J. Schöberl.
A 3D finite element approach to flexible multibody systems.
Multibody System Dynamics, 15:309-324, 2006.

16

M. Günther, U. Langer, and U. van Rienen.
Resume of the collection of articles on scientific computing in electrical engineering.
Surv. Math. Ind., 9(2):151-155, 1999.

17

G. Haase.
A parallel AMG for overlapping and non-overlapping domain decomposition.
Electronic Transactions on Numerical Analysis (ETNA), 10:41-55, 2000.

18

G. Haase, M. Kuhn, and U. Langer.
Parallel multigrid 3D Maxwell solvers.
Parallel Computing, 6(27):761-775, 2001.

19

G. Haase, M. Kuhn, and S. Reitzinger.
Parallel AMG on distributed memory computers.
SIAM Journal of Scientific Computing, 24(2):410-427, 2002.

20

G. Haase, U. Langer, S. Reitzinger, and J. Schöberl.
Algebraic multigrid methods based on element preconditioning.
International Journal of Computer Mathematics, 78(4):575-588, 2001.

21

G. Haase and S. Reitzinger.
Cache issues of algebraic multigrid methods for linear systems with multiple right-hand sides.
SIAM Journal on Scientific Computing, 27(1):1-18, 2005.

22

B. Heise, M. Kuhn, and U. Langer.
A mixed variational formulation for 3D linear and nonlinear magnetostatics in the space.
Hungarian Electronic Journal, (ANM-981030-A), 1999.
(ISSN 1418-7108).

23

A. Hofinger and J. Valdman.
Numerical solution of the two-yield elastoplastic minimization problem.
Computing, 2007.
(accepted).

24

B. Kaltenbacher, M. Kaltenbacher, and S. Reitzinger.
Identification of nonlinear B-H curves based on magnetic field computations and multigrid methods for ill-posed problems.
European Journal of Applied Mathematics, 14(1):13-38, 2003.

25

B. Kaltenbacher and J. Schöberl.
A saddle point variational formulation for projection-regularized parameter identification.
Numerische Mathematik, 91(4):675-697, 2002.

26

M. Kaltenbacher and S. Reitzinger.
Algebraic multigrid methods for nodal and edge based discretizations of Maxwell's equations.
International Compumag Society Newsletter, 9(2):15-23, 2002.

27

M. Kaltenbacher and S. Reitzinger.
Appropriate finite element formulations for 3D electromagnetic field problems.
IEEE Transaction on Magnetics, 38(2):513-516, 2002.

28

M. Kaltenbacher and S. Reitzinger.
Nonlinear 3D magnetic field computations using Lagrange FE-functions and algebraic multigrid.
IEEE Transaction on Magnetics, 32(2):1489-1496, 2002.

29

M. Kaltenbacher, S. Reitzinger, and J. Schöberl.
Algebraic multigrid for solving 3d nonlinear electrostatic and magnetostatic field problems.
IEEE Transactions on Magnetics, 36:1557-1560, 2000.

30

V. G. Korneev, U. Langer, and L. Xanthis.
Fast adaptive domain decomposition algorithms for hp-discretizations of 2-d and 3-d elliptic equations: Recent advances.
Hermis-${\mu}$: An International Journal of Computer Mathematics and its Applications, 4(4):27-44, 2003.

31

V. G. Korneev, U. Langer, and L. Xanthis.
On fast domain decomposition solving procedures for $hp$-discretizations of 3D elliptic problems.
Computational Methods in Applied Mathematics, 3(4):536-559, 2003.

32

U. Langer, G. Of, O. Steinbach, and W. Zulehner.
Inexact data-sparse boundary element tearing and interconnecting methods.
SIAM Journal on Scientific Computing, 29(1):290-314, 2007.

33

U. Langer and O. Steinbach.
Boundary element tearing and interconnecting methods.
Computing, 71(3):205-228, 2003.

34

R. D. Lazarov, J. E. Pasciak, J. Schöberl, and P. S. Vassilevski.
Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on non-matching grids.
Numerische Mathematik, 96:295-315, 2003.

35

S. Reitzinger and M. Kaltenbacher.
Algebraic multigrid for magnetostatic field problems.
IEEE Transactions on Magnetics, 38(2):477-480, 2002.

36

S. Reitzinger and J. Schöberl.
An algebraic multigrid method for finite element discretizations with edge elements.
Numerical Linear Algebra with Applications, 9(3):223-238, 2002.

37

S. Repin and J. Valdman.
Functional a posteriori error estimates for problems with nonlinear boundary conditions.
Journal of Numerical Mathematics, 2007.
(accepted).

38

M. Schinnerl, M. Kaltenbacher, U. Langer, R. Lerch, and J. Schöberl.
An efficient method for the numerical simulation of magneto-mechanical sensors and actuators.
European Journal of Applied Mathematics, 18:233-271, 2007.

39

M. Schinnerl, M. Kaltenbacher, and J. Schöberl.
Nested multigrid methods for the fast numerical computation of 3d magnetic fields.
IEEE Transactions on Magnetics, 36:1561-1564, 2000.

40

M. Schinnerl, U. Langer, and R. Lerch.
Multigrid simulation of electromagnetic actuators.
ZAMM, 81:729-730, 2001.

41

M. Schinnerl, J. Schöberl, M. kaltenbacher, U. Langer, and R. Lerch.
Multigrid methods for the fast numerical simulation of coupled magnetomechanical systems.
ZAMM, 80:117-120, 2000.

42

M. Schinnerl, J. Schöberl, M. Kaltenbacher, and R. Lerch.
Multigrid methods for the 3D simulation of nonlinear magneto-mechanical systems.
IEEE Transactions Magnetics, 38(3):1497-1511, 2002.

43

J. Schöberl.
NETGEN: An advancing front 2d/3d mesh generator based on abstract rules.
Comput. Visual. Sci., pages 41-52, 1998.

44

J. Schöberl.
Non-conforming Nodal-value Discretization and Multigrid Methods for $4^{th}$-order Problems.
ZAMM, 78:1059-1060, 1998.

45

J. Schöberl.
Solving the Signorini Problem on the Basis of Domain Decomposition Techniques.
Computing, 60(4):323-344, 1998.

46

J. Schöberl.
Multigrid methods for a parameter dependent problem in primal variables.
Numer. Math., 84:97-119, 1999.

47

J. Schöberl.
Efficient contact solvers based on domain decomposition techniques.
Computers and Mathematics with Applications, 42:1217-1228, 2001.

48

J. Schöberl and S. Zaglmayr.
High order Nédélec elements with local complete sequence property.
J. for Computations and Mathematics in Electrical and Electronic Engineering, 24:374-384, 2005.

49

J. Schöberl and W. Zulehner.
On Schwarz-type smoothers for saddle point problems.
Numerische Mathematik, 95:377-399, 2003.

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SpezialForschungsBereich SFB F013 | Special Research Program of the FWF - Austrian Science Fund