Dr Matthias Maischak

Contact

Mathematical Sciences John Crank 508 Brunel University Uxbridge UB8 3PH United Kingdom

Tel: +44 (0)1895 267363 Fax: +44 (0)1895 269732 Email: matthias.maischak@brunel.ac.uk Web: Personal Website

Research Interests

Elliptic boundary value and Transmission problems. Signorini problems/variational inequalities. Boundary Element and Finite Element Methods. Fast Solvers and Preconditioners. Error estimators and adaptive algorithms. High Performance and Scientific Computing. Software development

University Research Centre Membership

Publications

Journal Papers

(2012) Gläfke, M., Maischak, M. and Stephan, EP., Coupling of FEM and BEM for a transmission problem with nonlinear interface conditions. Hierarchical and residual error indicators, Applied Numerical Mathematics 62 (6) : 736- 753

(2012) Maischak, M., Oestmann, S. and Stephan, EP., A least-squares fem-bem coupling method for linear elasticity, Applied Numerical Mathematics 62 (4) : 457- 472

(2012) Domínguez, C., Stephan, EP. and Maischak, M., FE/BE coupling for an acoustic fluid-structure interaction problem. Residual a posteriori error estimates, International Journal for Numerical Methods in Engineering 89 (3) : 299- 322

(2011) Domínguez, C., Stephan, EP. and Maischak, M., A FE-BE coupling for a fluid-structure interaction problem: Hierarchical a posteriori error estimates, Numerical Methods for Partial Differential Equations

(2011) Gatica, GN., Maischak, M. and Stephan, EP., NUMERICAL ANALYSIS OF A TRANSMISSION PROBLEM WITH SIGNORINI CONTACT USING MIXED-FEM AND BEM, ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE 45 (4) : 779- 802

(2011) Gimperlein, H., Maischak, M., Schrohe, E. and Stephan, EP., Adaptive FE-BE coupling for strongly nonlinear transmission problems with Coulomb friction, NUMERISCHE MATHEMATIK 117 (2) : 307- 332

(2010) Gläfke, M., Maischak, M. and Stephan, EP., Coupling of FEM and BEM for a transmission problem with nonlinear interface conditions. Hierarchical and residual error indicators, Applied Numerical Mathematics

(2010) Leydecker, F., Maischak, M., Stephan, EP. and Teltscher, M., Adaptive FE-BE coupling for an electromagnetic problem in R-3-A residual error estimator, MATHEMATICAL METHODS IN THE APPLIED SCIENCES 33 (18) : 2162- 2186

(2010) Krebs, A., Maischak, M. and Stephan, EP., Adaptive FEM-BEM coupling with a Schur complement error indicator, APPLIED NUMERICAL MATHEMATICS 60 (8) : 798- 808

(2009) Maischak, M., A multilevel additive Schwarz method for a hypersingular integral equation on an open curve with graded meshes, Applied Numerical Mathematics 59 (9) : 2195- 2202

(2009) Carstensen, C., Heuer, N. and Maischak, M., Preface: Special sssue boundary elements - theory and applications, dedicated to Professor Ernst P Stephan on the occasion of his 60th birthday, Applied Numerical Mathematics 59 (11) : 2695- 2697

(2008) Chernov, A., Maischak, M. and Stephan, EP., Hp-mortar boundary element method for two-body contact problems with friction, Mathematical Methods in the Applied Sciences 31 (17) : 2029- 2054

(2008) Holm, H., Maischak, M. and Stephan, EP., Exponential convergence of the h-p version BEM for mixed boundary value problems on polyhedrons, Mathematical Methods in the Applied Sciences 31 (17) : 2069- 2093

(2007) Chernov, A., Maischak, M. and Stephan, EP., A priori error estimates for hp penalty BEM for contact problems in elasticity, Computer Methods in Applied Mechanics and Engineering 196 (37-40 SPEC. ISS.) : 3871- 3880

(2007) Stephan, EP., Maischak, M. and Leydecker, F., An hp-adaptive finite element/boundary element coupling method for electromagnetic problems, Computational Mechanics 39 (5) : 673- 680

(2007) Chernov, A., Maischak, M. and Stephan, EP., A priori error estimates for hp penalty BEM for contact problems in elasticity, Computer Methods in Applied Mechanics and Engineering 196 (37-40) : 3871- 3880

(2007) Maischak, M. and Stephan, EP., Adaptive hp-versions of boundary element methods for elastic contact problems, Computational Mechanics 39 (5) : 597- 607

(2006) Maischak, M., Multiplicative Schwarz algorithms for the p-version Galerkin boundary element method in 3D, Applied Numerical Mathematics 56 (10-11 SPEC. ISS.) : 1370- 1382

(2006) Maischak, M., Multiplicative Schwarz algorithms for the p-version galerkin boundary element method in 3D, Applied Numerical Mathematics 56 (10-11) : 1370- 1382

(2005) Maischak, M. and Stephan, EP., A FEM-BEM coupling method for a nonlinear transmission problem modelling Coulomb friction contact, Computer Methods in Applied Mechanics and Engineering 194 (2-5 SPEC. ISS.) : 453- 466

(2005) Stephan, EP. and Maischak, M., A posteriori error estimates for fem-bem couplings of three-dimensional electromagnetic problems, Computer Methods in Applied Mechanics and Engineering 194 (2-5 SPEC. ISS.) : 441- 452

(2005) Stephan, EP. and Maischak, M., A posteriori error estimates for fem-bem couplings of three-dimensional electromagnetic problems, Computer Methods in Applied Mechanics and Engineering 194 (2-5) : 441- 452

(2005) Gatica, GN. and Maischak, M., A posteriori error estimates for the mixed finite element method with Lagrange multipliers, Numerical Methods for Partial Differential Equations 21 (3) : 421- 450

(2005) Maischak, M. and Stephan, EP., A FEM-BEM coupling method for a nonlinear transmission problem modelling Coulomb friction contact, Computer Methods in Applied Mechanics and Engineering 194 (2-5) : 453- 466

(2005) Stephan, EP., Maischak, M. and Leydecker, F., Some Schwarz methods for integral equations on surfaces- h and p versions, Computing and Visualization in Science 8 (3-4) : 211- 216

(2005) Maischak, M. and Stephan, EP., Adaptive hp-versions of BEM for Signorini problems, Applied Numerical Mathematics 54 (3-4) : 425- 449

(2004) Carstensen, C., Maischak, M., Praetorius, D. and Stephan, EP., Residual-based a posteriori error estimate for hypersingular equation on surfaces, Numerische Mathematik 97 (3) : 397- 425

(2004) Maischak, M., Stephan, EP. and Tran, T., Multiplicative Schwarz algorithm for the Galerkin boundary element approximation of the weakly singular integral operator in three dimensions, International Journal of Pure and Applied Mathematics 12 (1) : 1- 20

(2004) Maischak, M. and Stephan, EP., A least squares coupling method with finite elements and boundary elements for transmission problems, Computers and Mathematics with Applications 48 (7-8) : 995- 1016

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

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

(2000) Maischak, M., Stephan, EP. and Tran, T., Multiplicative Schwarz algorithms for the Galerkin boundary element method, SIAM Journal on Numerical Analysis (SINUM) 38 (4) : 1243- 1268

(1999) Heuer, N., Maischak, M. and Stephan, EP., Exponential convergence of the hp-version for the boundary element method on open surfaces, Numerische Mathematik 83 (4) : 641- 666

(1997) Maischak, M. and Stephan, EP., The hp-version of the boundary element method in R3 - the basic approximation results, Mathematical Methods in the Applied Sciences 20 (5) : 461- 476

(1996) Holm, H., Maischak, M. and Stephan, EP., The hp-version of the boundary element method for Helmholtz screen problems, Computing 57 (2) : 105- 134

(1992) Maischak, M., The gravitational anomalies in de Sitter space, Letters in Mathematical Physics 25 (4) : 307- 316

Conference Papers

(2009) Maischak, M., Ostermann, E. and Stephan, EP., TD-BEM for sound radiation in three dimensions and the numerical evaluation of retarded potentials, International Conference on Acoustics (NAG/DAGA 2009)

(2008) Denkena, B., Stephan, EP., Maischak, M., Heinisch, D. and Andres, M., Numerical computation methods for process oriented structures in metal chipping, 1st International Conference on Process Machine Interactions

(2007) Greiff, M., Maischak, M., Bala, UB., Mathis, W. and Stephan, EP., Numerical computation of electric fields including singularities in micro electro mechanical systems (MEMS), 14th International Symposium on Theoretical Electrical Engineering, Przegląd Elektrotechniczny (eng. Electrical Review) (83) : 47- 49

(2004) Stephan, EP. and Maischak, M., Adaptive mixed finite element methods for nonlinear elasticity: a two-fold saddle point approach, 6th World Congress on Computational Mechanics held in conjunction with the 2nd Asian-Pacific Congress on Computational Mechanics

(1999) Heuer, N., Maischak, M. and Stephan, EP., Preconditioned minimum residual iteration for the h-p version of the coupled FEM/BEM with quasi-uniform meshes, Conference on Iterative Solution Methods for the Elasticity Equations in Mechanics and Biomechanics (IMMB 98), Numerical Linear Algebra with Applications (6) : 435- 456

(1997) Maischak, M., Mund, P. and Stephan, EP., Adaptive multilevel BEM for acoustic scattering, Interdisciplinary Symposium on Advances in Computational Mechanics in Honor of Professor John Tinsley Oden, Computer Methods in Applied Mechanics and Engineering (150) : 351- 367

(1997) Maischak, M. and Stephan, EP., The hp-version of the BEM with geometric meshes in 3D, Final Conference of the Priority Research Programme Boundary Element Methods 1989-1995 of the German-Research-Foundation

Book Chapters

(2008) Stephan, EP., Maischak, M. and Tran, T., Domain decomposition algorithms for an indefinite hypersingular integral equation in three dimensions. In: Domain Decomposition Methods in Science and Engineering XVII. Berlin/Heidelberg : Springer (60) : 647- 655

(2008) Stephan, EP., Maischak, M. and Ostermann, E., Transient boundary element method and numerical evaluation of retarded potentials. In: Computational Science – ICCS 2008. Springer (5102) : 321- 330

(2007) Maischak, M., A block preconditioner for an electromagnetic fembem coupling problem in R^3. In: Liu, W., Wu, C. and Shi, Z-C. eds. Recent Progress in Scientific Computing. Beijing : Science Press 302- 318

(2007) Maischak, M. and Stephan, EP., The hp-version of the boundary element method for the lame equation in 3D. In: Boundary Element Analysis: Mathematical Aspects and Applications. (29) : 97- 112

(2006) Chernov, A., Geyn, S., Maischak, M. and Stephan, EP., Finite element/boundary element coupling for two-body elastoplastic contact problems with friction. In: Analysis and Simulation of Contact Problems. Berlin/Heidelberg : Springer (27) : 171- 178