Homepage
 

Research Areas
 

Preprints
 

Publikations
 

The program system maiprogs (deutsch)
 

Courses
 

Course scripts
 

Intranet
 

Publication list of Matthias Maischak

Published

G. Gatica, M. Maischak: A-posteriori error estimates for the mixed finite element method with Lagrange multipliers , Numerical Methods for Partial Differential Equations 21 (2005) 421-450

M. Maischak, E.P. Stephan: A Least Squares coupling method with finite elements and boundary elements for transmission problems , Computers & Mathematics with Applications 48 (2004) 995-1016

• ifam51 (ps.Z, 200k)

M. Maischak, E.P. Stephan: Adaptive hp-versions of BEM for Signorini problems , Applied Numerical Mathematics http://dx.doi.org/10.1016/j.apnum.2004.09.012

• ifam73 (ps.Z., 408k)

E.P. Stephan, M. Maischak: A posteriori error estimates for fem-bem couplings of three-dimensional electromagnetic problems , Computer Methods in Applied Mechanics and Engineering 194 (2005) 441-452

• ifam72 (ps.Z., 240k)

M. Maischak, E.P. Stephan: A FEM-BEM coupling method for a nonlinear transmission problem modelling Coulomb friction contact , Computer Methods in Applied Mechanics and Engineering 194 (2005) 453-466

• ifam71 (ps.Z., 216k)

C. Carstensen, M. Maischak, D. Praetorius, E.P. Stephan: Residual-Based a posteriori error estimate for hypersingular equation on surfaces , Numer. Math. 97 (2004) 3, 397--425

M. Maischak, E.P. Stephan, T. Tran: Multiplicative Schwarz Algorithm for the h-Version of the Weakly Singular Boundary Element Method in 3D , Journal of Pure and Applied Mathematics 12 (2004) 1, 1--20

M. A. Barrientos, G. Gatica, M. Maischak: A-posteriori error estimates for linear exterior problems via mixed-FEM and DtN mappings , Mathematical Modelling and Numerical Analysis 36 (2002) 2, 241--272

• pp01-13.ps.gz

C. Carstensen, M. Maischak, E.P. Stephan: A posteriori error estimate and h-adaptive algorithm on surfaces for Symm's integral equation , Numer. Math. 90 (2001) 2, 197-213

• 99-20

M. Maischak, E.P. Stephan, Thanh Tran: Multiplicative Schwarz Algorithms for the Galerkin Boundary Element Method , SINUM 38 (2000) 4, 1243-1268

• ifam29 (ps.Z, 115k)

N. Heuer, M. Maischak, E.P. Stephan: Exponential Convergence of the hp-Version for the Boundary Element Method on open surfaces , Numer.Math. 83 (1999) 4, 641-666

• ifam6 (ps.Z, 160k)

N. Heuer, M. Maischak, E.P. Stephan: Preconditioned Minimum Residual Iteration for the h-p Version of the Coupled FEM/BEM with Quasi-uniform Meshes , Numer.Linear Algebra.Appl. 6 (1999) 435-456

M. Maischak, P. Mund, E.P. Stephan: Adaptive Multilevel BEM for Acoustic Scattering , Comput. Methods Appl.Mech.Engrg. 150 (1997) 351-367

• ifam26 (ps.Z, 287k)

M. Maischak, E.P. Stephan, Thanh Tran: Domain Decomposition for Integral Equations of the First Kind: Numerical Results , Appl.Anal. 63 (1997) 111--132

• ifam13 (ps.Z, 103k)

M. Maischak, E.P. Stephan: The hp-version of the boundary element method in R^3. The basic approximation results , Math. Meth. Appl. Sci. 20 (1997) 461--476

• ifam5 (ps.Z, 144k)

H. Holm, M. Maischak, E.P. Stephan: The hp-Version of the Boundary Element Method for Helmholtz Screen Problems , Computing 57 (1996) 105--134

• ifam7 (tar.Z, 140k)

M. Maischak: The Gravitational Anomalies in de Sitter Space , Letters in Mathematical Physics 25 (1992) 307--316

Accepted for Publication

F. Leydecker, M. Maischak, E.P. Stephan: Some Schwarz methods for integral equations on surfaces - h- and p-versions , Computing and Visualization in Science

H. Holm, M. Maischak, E.P. Stephan: Exponential convergence of the h-p version bem for mixed bvp's on polyhedrons , Math. Meth. Appl. Sci

• ifam22 (ps.Z, 136k)

M. Hahne, M. Maischak, E.P. Stephan, A. Wathen: Efficient preconditioners for coupled FEM -- BEM equations , Numer.Meth.Part.Diff.Eqns.

• ifam9 (tar.Z, 110k)

Submitted

M. Maischak: Multiplicative Schwarz Algorithms for the p-version Galerkin Boundary Element Method in 3D , APNUM

M. Maischak, E.P. Stephan: The hp-Version of the Boundary Element Method in R^3. Part II: Approximation in countably normed spaces , ftp://ftp.ifam.uni-hannover.de/pub/preprints/ifam43.ps.Z

• (ps.Z, 115k)

A. Krebs, M. Maischak, E.P. Stephan: Adaptive FEM-BEM coupling with Schur complement error indicator ,

In Preparation

M. Maischak:
Relations between countably normed spaces for 3D-BEM with weightfunctions defined in different coordinate systems ,

J. Gwinner, M. Maischak, S. Zaprianov:
A Wavelet-preconditioned Projection-CG algorithm for solving unilateral elliptic boundary value problems ,

M. Maischak:
The hp-version boundary element Galerkin method for a hypersingular integral equation on open surfaces ,

N. Heuer, M. Maischak, E.P. Stephan:
A preconditioner for the hp-version of the FEM/BEM-coupling ,

M. Maischak:
A multilevel additiv Schwarz method on graded meshes for a hypersingular integral equation ,

Technical Reports

M. Maischak: Manual of the program system maiprogs ,

• doku

M. Maischak: Technical manual of the program system maiprogs ,

• tman (access restricted)

M. Maischak: The analytical computation of the Galerkin elements for the Laplace, Lamé and Helmholtz equation in 2D-BEM ,

• lap2 (access restricted)

M. Maischak: The analytical computation of the Galerkin elements for the Laplace, Lamé and Helmholtz equation in 3D-BEM ,

• lap3 (access restricted)

M. Maischak: Galerkin elements of FEM in 2D and 3D ,

• fem23 (access restricted)

M. Maischak: Crash-Kurs für Diplomanden und solche die es werden wollen ,

• crash (access restricted)

Publications in Conference Proceedings

M. Maischak, S, Oestmann, E.P. Stephan: Nonconforming Meshes and Adaptivity , PAMM 4 (2004) 1, 646-647

M. Maischak, E.P. Stephan, T. Tran: Two level Schwarz methods for indefinite integral equations , in DD9 Proceedings , Norway 1996, pp. 504-508

M. Maischak, E.P. Stephan: Schwarz methods for graded meshes in 2D-BEM: Numerical results , in: Analysis, Numerics and Applications of Differential and Integral Equations, eds. Constanda, et.al. Proceedings, Stuttgart 1996, pp. 132-136

• ifam28 (ps.Z, 40k)

M. Bochniak, M. Maischak, A.-M. Sändig: Computation of Stress Intensity Factors for 2D Harmonic and Elastic Fields , in Proceedings of the 6th International Conference Numerical Methods in Continuum Mechanics High Tatras, 16-18 September, 1996, pp. 251-255

M. Maischak, E.P. Stephan: The hp-Version of the BEM with Geometric Meshes in 3D , In: Boundary Element Topics 1989--1995, Springer Verlag (1997) 351-362

Dissertation

M. Maischak: hp-Methoden für Randintegralgleichungen bei 3D-Problemen, Theorie und Implementierung , 22.06.1995

• dissertation (ps.gz, 703k)