# zbMATH — the first resource for mathematics

## Steinbach, Olaf

Compute Distance To:
 Author ID: steinbach.olaf Published as: Steinbach, O.; Steinbach, Olaf Homepage: http://www.numerik.math.tu-graz.ac.at/~steinbach/home.htm External Links: MGP · Wikidata · ORCID · dblp
 Documents Indexed: 120 Publications since 1993, including 16 Books
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#### Co-Authors

 32 single-authored 21 Of, Günther 13 Wendland, Wolfgang L. 7 Langer, Ulrich 6 Unger, Gerhard 4 Schanz, Martin 4 Schulz, Heiko 4 Yang, Huidong 3 Apel, Thomas 3 Engleder, S. 3 Phan, Thanh Xuan 3 Urthaler, Peter 3 Windisch, Markus 2 Andjelic, Zoran 2 Dohr, Stefan 2 Ganesh, Madhu 2 Holzapfel, Gerhard A. 2 Kimeswenger, Arno 2 Kuhn, Michael A. 2 Kunisch, Karl 2 Nigam, Nilima 2 Rjasanow, Sergej 2 Rodin, Gregory Jl 2 Zank, Marco 1 Amann, Dominic 1 Augustin, Christoph M. 1 Bandara, Kosala 1 Blaszczyk, Andreas 1 Bonnet, Marc 1 Bramble, James H. 1 Brenn, Günter 1 Brunner, Dominik 1 Bürger, Raimund 1 Burkard, Rainer E. 1 Cirak, Fehmi 1 Cook, L. Pamela 1 Eberhard, Peter 1 Eck, Christof 1 Fasel, C. 1 Ganesh, Mahadevan 1 Gatica, Gabriel N. 1 Gaul, Lothar 1 Gemmrich, S. 1 Geroldinger, Alfred 1 Gsell, Matthias A. F. 1 Haase, Gundolf 1 Hsiao, George C. 1 John, Lorenz 1 Jordan, Kirk E. 1 Jung, Michael 1 Junge, Michael 1 Kaltenbacher, Manfred 1 Lemster, Wiebke 1 Lube, Gert 1 McLean, William 1 Meyer, Arnd 1 Muth, Beate 1 Niino, Kazuki 1 Pasciak, Joseph E. 1 Peichl, Gunther H. 1 Pustějovská, Petra 1 Quatember, Ralf 1 Reidinger, B. 1 Ring, Wolfgang 1 Stadlober, Ernst 1 Stephan, Ernst Peter 1 Taus, Matthias 1 Tchoualag, L. 1 Thanh, Phan Xuan 1 Wallner, Johannes Peter 1 Winkler, Max 1 Woess, Wolfgang 1 Wohlmuth, Barbara I. 1 Wunderlich, Linus 1 Xu, Liwei 1 Zapletal, Jan 1 Zulehner, Walter
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#### Serials

 10 Numerische Mathematik 6 Mathematical Methods in the Applied Sciences 5 SIAM Journal on Numerical Analysis 5 SIAM Journal on Scientific Computing 3 Journal of Mathematical Analysis and Applications 3 Journal of Computational and Applied Mathematics 3 Applied Numerical Mathematics 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 Lecture Notes in Applied and Computational Mechanics 2 IMA Journal of Numerical Analysis 2 Mathematics of Computation 2 Computing 2 International Journal for Numerical Methods in Engineering 2 Computational Mechanics 2 Journal of Integral Equations and Applications 2 Advances in Computational Mathematics 2 Computing and Visualization in Science 2 Journal of Numerical Mathematics 2 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Computational Physics 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Acta Mathematica Vietnamica 1 Calcolo 1 Mathematics and Computers in Simulation 1 Internationale Mathematische Nachrichten 1 COMPEL 1 Numerical Methods for Partial Differential Equations 1 Archive of Applied Mechanics 1 Numerical Linear Algebra with Applications 1 East-West Journal of Numerical Mathematics 1 ETNA. Electronic Transactions on Numerical Analysis 1 Computational Methods in Applied Mathematics 1 Lecture Notes in Mathematics 1 Lecture Notes in Computational Science and Engineering 1 Radon Series on Computational and Applied Mathematics 1 Journal of Mathematics in Industry 1 Mathematical and Analytical Techniques with Applications to Engineering
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#### Fields

 102 Numerical analysis (65-XX) 70 Partial differential equations (35-XX) 27 Mechanics of deformable solids (74-XX) 14 Optics, electromagnetic theory (78-XX) 13 Fluid mechanics (76-XX) 10 General and overarching topics; collections (00-XX) 5 Potential theory (31-XX) 5 Integral equations (45-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH

84 Publications have been cited 978 times in 606 Documents Cited by Year
Numerical approximation methods for elliptic boundary value problems. Finite and boundary elements. Transl. from the 2003 German original. Zbl 1153.65302
Steinbach, Olaf
2008
The fast solution of boundary integral equations. Zbl 1119.65119
Rjasanow, Sergej; Steinbach, Olaf
2007
The construction of some efficient preconditioners in the boundary element method. Zbl 0922.65076
Steinbach, Olaf; Wendland, Wolfgang L.
1998
On the stability of the $$L^2$$ projection in $$H^1(\omega)$$. Zbl 0989.65122
Bramble, James H.; Pasciak, Joseph E.; Steinbach, Olaf
2002
On C. Neumann’s method for second-order elliptic systems in domains with non-smooth boundaries. Zbl 0998.35014
Steinbach, O.; Wendland, W. L.
2001
Boundary element tearing and interconnecting methods. Zbl 1037.65123
Langer, U.; Steinbach, O.
2003
A symmetric boundary element method for contact problems with friction. Zbl 1027.65162
Eck, C.; Steinbach, O.; Wendland, W. L.
1999
Stability estimates for hybrid coupled domain decomposition methods. Zbl 1029.65122
Steinbach, Olaf
2003
The fast multipole method for the symmetric boundary integral formulation. Zbl 1101.65114
Of, G.; Steinbach, O.; Wendland, W. L.
2006
Space-time finite element methods for parabolic problems. Zbl 1329.65229
Steinbach, Olaf
2015
Domain decomposition methods via boundary integral equations. Zbl 0971.65111
Hsiao, G. C.; Steinbach, O.; Wendland, W. L.
2000
Numerical approximation methods for elliptic boundary value problems. Finite and boundary elements. Zbl 1130.65001
Steinbach, Olaf
2003
A note on the stable one-equation coupling of finite and boundary elements. Zbl 1229.65219
Steinbach, O.
2011
On a generalized $$L_2$$ projection and some related stability estimates in Sobolev spaces. Zbl 0997.65120
Steinbach, Olaf
2002
An energy space finite element approach for elliptic Dirichlet boundary control problems. Zbl 1311.49069
Of, G.; Phan, T. X.; Steinbach, O.
2015
Fast evaluation of volume potentials in boundary element methods. Zbl 1233.65095
Of, G.; Steinbach, O.; Urthaler, P.
2010
The all-floating boundary element tearing and interconnecting method. Zbl 1423.74943
Of, G.; Steinbach, O.
2009
Coupled finite and boundary element methods for fluid-solid interaction eigenvalue problems. Zbl 1307.74032
Kimeswenger, A.; Steinbach, O.; Unger, G.
2014
On the stability of the $$L_2$$ projection in fractional Sobolev spaces. Zbl 0989.65124
Steinbach, Olaf
2001
Boundary element based multiresolution shape optimisation in electrostatics. Zbl 1349.78081
Bandara, Kosala; Cirak, Fehmi; Of, Günther; Steinbach, Olaf; Zapletal, Jan
2015
Convergence analysis of a Galerkin boundary element method for the Dirichlet Laplacian eigenvalue problem. Zbl 1250.65136
Steinbach, O.; Unger, G.
2012
A boundary element method for the Dirichlet eigenvalue problem of the Laplace operator. Zbl 1175.65133
Steinbach, O.; Unger, G.
2009
Boundary element methods for variational inequalities. Zbl 1291.65193
Steinbach, O.
2014
Inexact data-sparse boundary element tearing and interconnecting methods. Zbl 1133.65105
Langer, U.; Of, G.; Steinbach, O.; Zulehner, W.
2007
Boundary element preconditioners for a hypersingular integral equation on an interval. Zbl 0951.65145
McLean, W.; Steinbach, O.
1999
Stable boundary element domain decomposition methods for the Helmholtz equation. Zbl 1222.65130
Steinbach, O.; Windisch, M.
2011
Boundary element methods for Dirichlet boundary control problems. Zbl 1219.49021
Of, Günther; Phan, Thanh Xuan; Steinbach, Olaf
2010
Stabilized boundary element methods for exterior Helmholtz problems. Zbl 1156.65098
Engleder, S.; Steinbach, O.
2008
A robust boundary element method for nearly incompressible linear elasticity. Zbl 1068.74088
Steinbach, O.
2003
A symmetric boundary element method for the Stokes problem in multiple connected domains. Zbl 1137.76429
Reidinger, B.; Steinbach, O.
2003
A new a posteriori error estimator in adaptive direct boundary element methods: The Dirichlet problem. Zbl 0962.65091
Schulz, H.; Steinbach, O.
2000
Fast solution techniques for the symmetric boundary element method in linear elasticity. Zbl 0968.74076
Steinbach, O.
1998
Fast Fourier transform for efficient evaluation of Newton potential in BEM. Zbl 1291.65355
Steinbach, O.; Tchoualag, L.
2014
Is the one-equation coupling of finite and boundary element methods always stable? Zbl 1281.65150
Of, Günther; Steinbach, Olaf
2013
Artificial multilevel boundary element preconditioners. Zbl 1354.65060
Steinbach, Olaf
2003
A finite element-boundary element algorithm for inhomogeneous boundary value problems. Zbl 1007.65090
Jung, M.; Steinbach, O.
2002
Domain decomposition methods with boundary integral equations and efficient numerical methods for mixed boundary value problems. Zbl 0863.65079
Steinbach, Olaf
1996
Modified combined field integral equations for electromagnetic scattering. Zbl 1195.78024
Steinbach, O.; Windisch, M.
2009
A note on the ellipticity of the single layer potential in two-dimensional linear elastostatics. Zbl 1096.35040
Steinbach, O.
2004
Symmetric coupling of finite and boundary elements for exterior magnetic field problems. Zbl 0997.78015
Kuhn, M.; Steinbach, O.
2002
Mixed approximations for boundary elements. Zbl 0977.65107
Steinbach, O.
2000
Coupled finite and boundary element domain decomposition methods. Zbl 1298.65189
Langer, Ulrich; Steinbach, Olaf
2007
Boundary element methods for potential problems with nonlinear boundary conditions. Zbl 0971.65107
Ganesh, M.; Steinbach, O.
2001
Adaptive boundary element methods based on computational schemes for Sobolev norms. Zbl 0967.65109
Steinbach, O.
2000
Nonlinear boundary integral equations for harmonic problems. Zbl 0974.65112
Ganesh, M.; Steinbach, O.
1999
Comparison of algebraic multigrid methods for an adaptive space-time finite-element discretization of the heat equation in 3D and 4D. Zbl 06945790
Steinbach, Olaf; Yang, Huidong
2018
Combined boundary integral equations for acoustic scattering-resonance problems. Zbl 1372.35082
Steinbach, Olaf; Unger, Gerhard
2017
Boundary integral equations for the Laplace-Beltrami operator. Zbl 1159.65364
Gemmrich, S.; Nigam, N.; Steinbach, O.
2008
Modified boundary integral formulations for the Helmholtz equation. Zbl 1188.35049
Engleder, S.; Steinbach, O.
2007
Coupled boundary and finite element tearing and interconnecting methods. Zbl 1066.65136
Langer, Ulrich; Steinbach, Olaf
2005
Classical and all-floating FETI methods for the simulation of arterial tissues. Zbl 1352.74187
Augustin, Christoph M.; Holzapfel, Gerhard A.; Steinbach, Olaf
2014
On the ellipticity of coupled finite element and one-equation boundary element methods for boundary value problems. Zbl 1299.65270
Of, G.; Steinbach, O.
2014
On the stability of the non-symmetric BEM/FEM coupling in linear elasticity. Zbl 1312.74057
Steinbach, Olaf
2013
Boundary element methods for magnetostatic field problems: a critical view. Zbl 1243.78047
Andjelic, Zoran; Of, Günther; Steinbach, Olaf; Urthaler, Peter
2011
A fast BE-FE coupling scheme for partly immersed bodies. Zbl 1183.76824
Brunner, Dominik; Of, Günther; Junge, Michael; Steinbach, Olaf; Gaul, Lothar
2010
A fast multipole boundary element method for a modified hypersingular boundary integral equation. Zbl 1065.65134
Of, Günther; Steinbach, Olaf
2003
Boundary element preconditioners for problems defined on slender domains. Zbl 1040.31001
Rodin, G. J.; Steinbach, O.
2003
The numerical solution of a nonlinear hypersingular boundary integral equation. Zbl 0986.65117
Ganesh, M.; Steinbach, O.
2001
Fast evaluation of Newton potentials in boundary element methods. Zbl 0946.65118
Steinbach, O.
1999
Trace and flux a priori error estimates in finite-element approximations of Signorini-type problems. Zbl 1433.74109
Steinbach, Olaf; Wohlmuth, Barbara; Wunderlich, Linus
2016
Boundary integral equations for Helmholtz boundary value and transmission problems. Zbl 1288.78037
Steinbach, Olaf
2013
Robust boundary element domain decomposition solvers in acoustics. Zbl 1430.76376
Steinbach, Olaf; Windisch, Markus
2011
A new a posteriori error estimator in adaptive direct boundary element methods. The Neumann problem. Zbl 0976.65095
Schulz, H.; Steinbach, O.
2000
On a hybrid boundary element method. Zbl 0945.65128
Steinbach, Olaf
2000
A stabilized space-time finite element method for the wave equation. Zbl 1433.65226
Steinbach, Olaf; Zank, Marco
2019
Coupling of discontinuous Galerkin finite element and boundary element methods. Zbl 1246.65219
Of, G.; Rodin, G. J.; Steinbach, O.; Taus, M.
2012
Fast boundary element methods for industrial applications in magnetostatics. Zbl 1250.78046
Andjelic, Zoran; Of, Günther; Steinbach, Olaf; Urthaler, Peter
2012
A boundary integral formulation for nonlocal electrostatics. Zbl 1155.78307
Fasel, C.; Rjasanow, S.; Steinbach, O.
2008
Boundary element tearing and interconnecting domain decomposition methods. Zbl 1298.74246
Of, Günther; Steinbach, Olaf; Wendland, Wolfgang L.
2006
FEM-BEM coupling for 3D exterior magnetic field problems. Zbl 0970.78008
Kuhn, M.; Steinbach, O.
2000
A note on initial higher-order convergence results for boundary element methods with approximated boundary conditions. Zbl 0971.65109
Steinbach, Olaf
2000
Adaptive finite element-boundary element solution of boundary value problems. Zbl 0932.65123
Steinbach, O.
1999
Domain decomposition and preconditioning techniques in boundary element methods. Zbl 0884.65113
Steinbach, Olaf; Wendland, Wolfgang L.
1997
Fast solvers for the symmetric boundary element method. Zbl 0881.65117
Steinbach, Olaf
1996
Boundary elements in domain decomposition methods. Zbl 0817.65119
Steinbach, Olaf
1994
Space-time finite element methods for parabolic evolution equations: discretization, a posteriori error estimation, adaptivity and solution. Zbl 07224811
Steinbach, Olaf; Yang, Huidong
2019
Space-time boundary element methods for the heat equation. Zbl 07224805
Dohr, Stefan; Niino, Kazuki; Steinbach, Olaf
2019
Error estimates for Neumann boundary control problems with energy regularization. Zbl 1354.49060
Apel, Thomas; Steinbach, Olaf; Winkler, Max
2016
Simulation of floating potentials in industrial applications by boundary element methods. Zbl 1304.65256
Amann, Dominic; Blaszczyk, Andreas; Of, Günther; Steinbach, Olaf
2014
Boundary element methods for parabolic boundary control problems. Zbl 1288.65135
Phan, Thanh Xuan; Steinbach, Olaf
2014
Collision detection for complicated polyhedra using the fast multipole method or ray crossing. Zbl 1161.74454
Muth, Beate; Of, Günther; Eberhard, Peter; Steinbach, Olaf
2007
Solution methods for systems of linear equations. Algorithms and applications. Zbl 1079.65035
Steinbach, Olaf
2005
Stable boundary element approximations of Steklov-Poincaré operators. Zbl 0937.65129
Steinbach, O.
2000
Parallel iterative solvers for symmetric boundary element domain decomposition methods. Zbl 0874.65090
Steinbach, O.
1995
A stabilized space-time finite element method for the wave equation. Zbl 1433.65226
Steinbach, Olaf; Zank, Marco
2019
Space-time finite element methods for parabolic evolution equations: discretization, a posteriori error estimation, adaptivity and solution. Zbl 07224811
Steinbach, Olaf; Yang, Huidong
2019
Space-time boundary element methods for the heat equation. Zbl 07224805
Dohr, Stefan; Niino, Kazuki; Steinbach, Olaf
2019
Comparison of algebraic multigrid methods for an adaptive space-time finite-element discretization of the heat equation in 3D and 4D. Zbl 06945790
Steinbach, Olaf; Yang, Huidong
2018
Combined boundary integral equations for acoustic scattering-resonance problems. Zbl 1372.35082
Steinbach, Olaf; Unger, Gerhard
2017
Trace and flux a priori error estimates in finite-element approximations of Signorini-type problems. Zbl 1433.74109
Steinbach, Olaf; Wohlmuth, Barbara; Wunderlich, Linus
2016
Error estimates for Neumann boundary control problems with energy regularization. Zbl 1354.49060
Apel, Thomas; Steinbach, Olaf; Winkler, Max
2016
Space-time finite element methods for parabolic problems. Zbl 1329.65229
Steinbach, Olaf
2015
An energy space finite element approach for elliptic Dirichlet boundary control problems. Zbl 1311.49069
Of, G.; Phan, T. X.; Steinbach, O.
2015
Boundary element based multiresolution shape optimisation in electrostatics. Zbl 1349.78081
Bandara, Kosala; Cirak, Fehmi; Of, Günther; Steinbach, Olaf; Zapletal, Jan
2015
Coupled finite and boundary element methods for fluid-solid interaction eigenvalue problems. Zbl 1307.74032
Kimeswenger, A.; Steinbach, O.; Unger, G.
2014
Boundary element methods for variational inequalities. Zbl 1291.65193
Steinbach, O.
2014
Fast Fourier transform for efficient evaluation of Newton potential in BEM. Zbl 1291.65355
Steinbach, O.; Tchoualag, L.
2014
Classical and all-floating FETI methods for the simulation of arterial tissues. Zbl 1352.74187
Augustin, Christoph M.; Holzapfel, Gerhard A.; Steinbach, Olaf
2014
On the ellipticity of coupled finite element and one-equation boundary element methods for boundary value problems. Zbl 1299.65270
Of, G.; Steinbach, O.
2014
Simulation of floating potentials in industrial applications by boundary element methods. Zbl 1304.65256
Amann, Dominic; Blaszczyk, Andreas; Of, Günther; Steinbach, Olaf
2014
Boundary element methods for parabolic boundary control problems. Zbl 1288.65135
Phan, Thanh Xuan; Steinbach, Olaf
2014
Is the one-equation coupling of finite and boundary element methods always stable? Zbl 1281.65150
Of, Günther; Steinbach, Olaf
2013
On the stability of the non-symmetric BEM/FEM coupling in linear elasticity. Zbl 1312.74057
Steinbach, Olaf
2013
Boundary integral equations for Helmholtz boundary value and transmission problems. Zbl 1288.78037
Steinbach, Olaf
2013
Convergence analysis of a Galerkin boundary element method for the Dirichlet Laplacian eigenvalue problem. Zbl 1250.65136
Steinbach, O.; Unger, G.
2012
Coupling of discontinuous Galerkin finite element and boundary element methods. Zbl 1246.65219
Of, G.; Rodin, G. J.; Steinbach, O.; Taus, M.
2012
Fast boundary element methods for industrial applications in magnetostatics. Zbl 1250.78046
Andjelic, Zoran; Of, Günther; Steinbach, Olaf; Urthaler, Peter
2012
A note on the stable one-equation coupling of finite and boundary elements. Zbl 1229.65219
Steinbach, O.
2011
Stable boundary element domain decomposition methods for the Helmholtz equation. Zbl 1222.65130
Steinbach, O.; Windisch, M.
2011
Boundary element methods for magnetostatic field problems: a critical view. Zbl 1243.78047
Andjelic, Zoran; Of, Günther; Steinbach, Olaf; Urthaler, Peter
2011
Robust boundary element domain decomposition solvers in acoustics. Zbl 1430.76376
Steinbach, Olaf; Windisch, Markus
2011
Fast evaluation of volume potentials in boundary element methods. Zbl 1233.65095
Of, G.; Steinbach, O.; Urthaler, P.
2010
Boundary element methods for Dirichlet boundary control problems. Zbl 1219.49021
Of, Günther; Phan, Thanh Xuan; Steinbach, Olaf
2010
A fast BE-FE coupling scheme for partly immersed bodies. Zbl 1183.76824
Brunner, Dominik; Of, Günther; Junge, Michael; Steinbach, Olaf; Gaul, Lothar
2010
The all-floating boundary element tearing and interconnecting method. Zbl 1423.74943
Of, G.; Steinbach, O.
2009
A boundary element method for the Dirichlet eigenvalue problem of the Laplace operator. Zbl 1175.65133
Steinbach, O.; Unger, G.
2009
Modified combined field integral equations for electromagnetic scattering. Zbl 1195.78024
Steinbach, O.; Windisch, M.
2009
Numerical approximation methods for elliptic boundary value problems. Finite and boundary elements. Transl. from the 2003 German original. Zbl 1153.65302
Steinbach, Olaf
2008
Stabilized boundary element methods for exterior Helmholtz problems. Zbl 1156.65098
Engleder, S.; Steinbach, O.
2008
Boundary integral equations for the Laplace-Beltrami operator. Zbl 1159.65364
Gemmrich, S.; Nigam, N.; Steinbach, O.
2008
A boundary integral formulation for nonlocal electrostatics. Zbl 1155.78307
Fasel, C.; Rjasanow, S.; Steinbach, O.
2008
The fast solution of boundary integral equations. Zbl 1119.65119
Rjasanow, Sergej; Steinbach, Olaf
2007
Inexact data-sparse boundary element tearing and interconnecting methods. Zbl 1133.65105
Langer, U.; Of, G.; Steinbach, O.; Zulehner, W.
2007
Coupled finite and boundary element domain decomposition methods. Zbl 1298.65189
Langer, Ulrich; Steinbach, Olaf
2007
Modified boundary integral formulations for the Helmholtz equation. Zbl 1188.35049
Engleder, S.; Steinbach, O.
2007
Collision detection for complicated polyhedra using the fast multipole method or ray crossing. Zbl 1161.74454
Muth, Beate; Of, Günther; Eberhard, Peter; Steinbach, Olaf
2007
The fast multipole method for the symmetric boundary integral formulation. Zbl 1101.65114
Of, G.; Steinbach, O.; Wendland, W. L.
2006
Boundary element tearing and interconnecting domain decomposition methods. Zbl 1298.74246
Of, Günther; Steinbach, Olaf; Wendland, Wolfgang L.
2006
Coupled boundary and finite element tearing and interconnecting methods. Zbl 1066.65136
Langer, Ulrich; Steinbach, Olaf
2005
Solution methods for systems of linear equations. Algorithms and applications. Zbl 1079.65035
Steinbach, Olaf
2005
A note on the ellipticity of the single layer potential in two-dimensional linear elastostatics. Zbl 1096.35040
Steinbach, O.
2004
Boundary element tearing and interconnecting methods. Zbl 1037.65123
Langer, U.; Steinbach, O.
2003
Stability estimates for hybrid coupled domain decomposition methods. Zbl 1029.65122
Steinbach, Olaf
2003
Numerical approximation methods for elliptic boundary value problems. Finite and boundary elements. Zbl 1130.65001
Steinbach, Olaf
2003
A robust boundary element method for nearly incompressible linear elasticity. Zbl 1068.74088
Steinbach, O.
2003
A symmetric boundary element method for the Stokes problem in multiple connected domains. Zbl 1137.76429
Reidinger, B.; Steinbach, O.
2003
Artificial multilevel boundary element preconditioners. Zbl 1354.65060
Steinbach, Olaf
2003
A fast multipole boundary element method for a modified hypersingular boundary integral equation. Zbl 1065.65134
Of, Günther; Steinbach, Olaf
2003
Boundary element preconditioners for problems defined on slender domains. Zbl 1040.31001
Rodin, G. J.; Steinbach, O.
2003
On the stability of the $$L^2$$ projection in $$H^1(\omega)$$. Zbl 0989.65122
Bramble, James H.; Pasciak, Joseph E.; Steinbach, Olaf
2002
On a generalized $$L_2$$ projection and some related stability estimates in Sobolev spaces. Zbl 0997.65120
Steinbach, Olaf
2002
A finite element-boundary element algorithm for inhomogeneous boundary value problems. Zbl 1007.65090
Jung, M.; Steinbach, O.
2002
Symmetric coupling of finite and boundary elements for exterior magnetic field problems. Zbl 0997.78015
Kuhn, M.; Steinbach, O.
2002
On C. Neumann’s method for second-order elliptic systems in domains with non-smooth boundaries. Zbl 0998.35014
Steinbach, O.; Wendland, W. L.
2001
On the stability of the $$L_2$$ projection in fractional Sobolev spaces. Zbl 0989.65124
Steinbach, Olaf
2001
Boundary element methods for potential problems with nonlinear boundary conditions. Zbl 0971.65107
Ganesh, M.; Steinbach, O.
2001
The numerical solution of a nonlinear hypersingular boundary integral equation. Zbl 0986.65117
Ganesh, M.; Steinbach, O.
2001
Domain decomposition methods via boundary integral equations. Zbl 0971.65111
Hsiao, G. C.; Steinbach, O.; Wendland, W. L.
2000
A new a posteriori error estimator in adaptive direct boundary element methods: The Dirichlet problem. Zbl 0962.65091
Schulz, H.; Steinbach, O.
2000
Mixed approximations for boundary elements. Zbl 0977.65107
Steinbach, O.
2000
Adaptive boundary element methods based on computational schemes for Sobolev norms. Zbl 0967.65109
Steinbach, O.
2000
A new a posteriori error estimator in adaptive direct boundary element methods. The Neumann problem. Zbl 0976.65095
Schulz, H.; Steinbach, O.
2000
On a hybrid boundary element method. Zbl 0945.65128
Steinbach, Olaf
2000
FEM-BEM coupling for 3D exterior magnetic field problems. Zbl 0970.78008
Kuhn, M.; Steinbach, O.
2000
A note on initial higher-order convergence results for boundary element methods with approximated boundary conditions. Zbl 0971.65109
Steinbach, Olaf
2000
Stable boundary element approximations of Steklov-Poincaré operators. Zbl 0937.65129
Steinbach, O.
2000
A symmetric boundary element method for contact problems with friction. Zbl 1027.65162
Eck, C.; Steinbach, O.; Wendland, W. L.
1999
Boundary element preconditioners for a hypersingular integral equation on an interval. Zbl 0951.65145
McLean, W.; Steinbach, O.
1999
Nonlinear boundary integral equations for harmonic problems. Zbl 0974.65112
Ganesh, M.; Steinbach, O.
1999
Fast evaluation of Newton potentials in boundary element methods. Zbl 0946.65118
Steinbach, O.
1999
Adaptive finite element-boundary element solution of boundary value problems. Zbl 0932.65123
Steinbach, O.
1999
The construction of some efficient preconditioners in the boundary element method. Zbl 0922.65076
Steinbach, Olaf; Wendland, Wolfgang L.
1998
Fast solution techniques for the symmetric boundary element method in linear elasticity. Zbl 0968.74076
Steinbach, O.
1998
Domain decomposition and preconditioning techniques in boundary element methods. Zbl 0884.65113
Steinbach, Olaf; Wendland, Wolfgang L.
1997
Domain decomposition methods with boundary integral equations and efficient numerical methods for mixed boundary value problems. Zbl 0863.65079
Steinbach, Olaf
1996
Fast solvers for the symmetric boundary element method. Zbl 0881.65117
Steinbach, Olaf
1996
Parallel iterative solvers for symmetric boundary element domain decomposition methods. Zbl 0874.65090
Steinbach, O.
1995
Boundary elements in domain decomposition methods. Zbl 0817.65119
Steinbach, Olaf
1994
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#### Cited by 869 Authors

 42 Steinbach, Olaf 25 Praetorius, Dirk 18 Harbrecht, Helmut 17 Of, Günther 15 Führer, Thomas 15 Wendland, Wolfgang L. 14 Karkulik, Michael 13 Hiptmair, Ralf 12 Feischl, Michael 12 Sayas, Francisco-Javier 11 Stephan, Ernst Peter 10 Claeys, Xavier 10 Heuer, Norbert 10 Schanz, Martin 9 Chen, Haibo 9 Hsiao, George C. 9 Langer, Ulrich 9 Li, Xiaolin 9 Zheng, Changjun 8 Gray, Leonard J. 7 Jerez-Hanckes, Carlos 7 Melenk, Jens Markus 7 Rapún, María-Luisa 7 Rjasanow, Sergej 7 Vodička, Roman 7 Zapletal, Jan 7 Zhang, Shougui 6 Aurada, Markus 6 Gaul, Lothar 6 Kohr, Mirela 6 Mantič, Vladislav 6 Medková, Dagmar 6 Nintcheu Fata, Sylvain 6 Pechstein, Clemens 6 Spence, Euan A. 6 Weißer, Steffen 6 Zhang, Chuanzeng 5 Bouchala, Jiří 5 Dostál, Zdeněk 5 Erath, Christoph 5 Gatica, Gabriel N. 5 Gudi, Thirupathi 5 Maischak, Matthias 5 Merta, Michal 5 París, Federico 4 Betcke, Timo 4 Bonnet, Guy 4 Bonnet, Marc 4 Brunner, Dominik 4 Burman, Erik 4 Chen, Leilei 4 Cheng, Yonggang 4 Cirak, Fehmi 4 Corfdir, Alain 4 Eppler, Karsten 4 Ferraz-Leite, Samuel 4 Gantner, Gregor 4 Gao, Haifeng 4 Goldenits, Petra 4 Grzhibovskis, Richards 4 Junge, Michael 4 Kress, Rainer 4 Ma, Gang 4 Mikhailov, Sergey E. 4 Neumüller, Martin 4 Nigam, Nilima 4 Rieder, Alexander 4 Rüberg, Thomas 4 Stevenson, Rob P. 4 Stynes, Martin 4 Wang, Qiao 4 Zhou, Wei 3 Antoine, Xavier 3 Bandara, Kosala 3 Banz, Lothar 3 Beer, Gernot 3 Bi, ChuanXing 3 Boykov, Ilya V. 3 Boykova, A. I. 3 Carstensen, Carsten 3 Chandler-Wilde, Simon N. 3 Chang, Xiaolin 3 Chernov, Alexey 3 Chowdhury, Sudipto Paul 3 Coulier, Pieter 3 Darbas, Marion 3 Du, Lei 3 Elleithy, Wael M. 3 Engleder, S. 3 Ganesh, Madhu 3 Gimperlein, Heiko 3 Haberl, Alexander 3 Heltai, Luca 3 Huang, Chaobao 3 Hughes, Thomas J. R. 3 Kozubek, Tomas 3 Kressner, Daniel 3 Lanza de Cristoforis, Massimo 3 Le Louër, Frédérique 3 Levadoux, David P. ...and 769 more Authors
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#### Cited in 118 Serials

 56 Engineering Analysis with Boundary Elements 41 Numerische Mathematik 39 Computer Methods in Applied Mechanics and Engineering 29 Computers & Mathematics with Applications 28 Applied Numerical Mathematics 24 Journal of Computational and Applied Mathematics 21 Journal of Computational Physics 19 Mathematical Methods in the Applied Sciences 19 Mathematics of Computation 19 International Journal for Numerical Methods in Engineering 19 Computational Mechanics 13 SIAM Journal on Numerical Analysis 13 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 12 Advances in Computational Mathematics 11 Journal of Integral Equations and Applications 9 SIAM Journal on Scientific Computing 7 Applied Mathematics and Computation 7 Computing 7 Numerical Functional Analysis and Optimization 7 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 6 Applicable Analysis 6 Journal of Mathematical Analysis and Applications 6 BIT 6 Integral Equations and Operator Theory 6 Numerical Methods for Partial Differential Equations 6 Journal of Scientific Computing 6 Numerical Algorithms 5 Computational Methods in Applied Mathematics 4 Communications on Pure and Applied Mathematics 4 SIAM Journal on Mathematical Analysis 4 Numerical Linear Algebra with Applications 4 Journal of Numerical Mathematics 3 Calcolo 3 SIAM Journal on Control and Optimization 3 Applications of Mathematics 3 International Journal of Computer Mathematics 3 SIAM Journal on Applied Mathematics 3 Computing and Visualization in Science 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 Archives of Computational Methods in Engineering 3 Multiscale Modeling & Simulation 2 Computer Physics Communications 2 Inverse Problems 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Acta Mathematica Vietnamica 2 Mathematics and Computers in Simulation 2 COMPEL 2 Applied Mathematical Modelling 2 Journal of Elasticity 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Potential Analysis 2 Computational Optimization and Applications 2 St. Petersburg Mathematical Journal 2 ETNA. Electronic Transactions on Numerical Analysis 2 Mathematics and Mechanics of Solids 2 Foundations of Computational Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Acta Numerica 2 Journal of Computational Acoustics 2 Boundary Value Problems 2 SIAM Journal on Imaging Sciences 2 Discrete and Continuous Dynamical Systems. Series S 2 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 Acta Mechanica 1 Archive for History of Exact Sciences 1 Computers and Fluids 1 International Journal for Numerical Methods in Fluids 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Engineering Mathematics 1 Linear and Multilinear Algebra 1 Wave Motion 1 ACM Transactions on Mathematical Software 1 Czechoslovak Mathematical Journal 1 Journal of Optimization Theory and Applications 1 Quarterly of Applied Mathematics 1 Siberian Mathematical Journal 1 Transactions of the American Mathematical Society 1 Zeitschrift für Analysis und ihre Anwendungen 1 Acta Applicandae Mathematicae 1 Computer Aided Geometric Design 1 Acta Mathematicae Applicatae Sinica. English Series 1 Constructive Approximation 1 Applied Mathematics Letters 1 SIAM Journal on Matrix Analysis and Applications 1 SIAM Review 1 Archive of Applied Mechanics 1 SIAM Journal on Optimization 1 Continuum Mechanics and Thermodynamics 1 Computational and Applied Mathematics 1 Journal of Inverse and Ill-Posed Problems 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Complexity 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Optimization Methods & Software 1 Journal of Inequalities and Applications 1 Journal of Mathematical Fluid Mechanics 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Communications in Nonlinear Science and Numerical Simulation 1 Lobachevskii Journal of Mathematics ...and 18 more Serials
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#### Cited in 35 Fields

 456 Numerical analysis (65-XX) 256 Partial differential equations (35-XX) 147 Mechanics of deformable solids (74-XX) 79 Fluid mechanics (76-XX) 66 Optics, electromagnetic theory (78-XX) 46 Calculus of variations and optimal control; optimization (49-XX) 42 Integral equations (45-XX) 26 Potential theory (31-XX) 15 Operator theory (47-XX) 14 Biology and other natural sciences (92-XX) 9 Approximations and expansions (41-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Functional analysis (46-XX) 4 Probability theory and stochastic processes (60-XX) 3 Real functions (26-XX) 3 Functions of a complex variable (30-XX) 3 Ordinary differential equations (34-XX) 3 Computer science (68-XX) 3 Geophysics (86-XX) 3 Operations research, mathematical programming (90-XX) 3 Systems theory; control (93-XX) 2 Number theory (11-XX) 2 Integral transforms, operational calculus (44-XX) 2 Statistics (62-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Mathematics education (97-XX)

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