## Heinrichs, Wilhelm

Compute Distance To:
 Author ID: heinrichs.wilhelm Published as: Heinrichs, Wilhelm; Heinrichs, W.
 Documents Indexed: 63 Publications since 1987, including 2 Books Reviewing Activity: 394 Reviews Co-Authors: 8 Co-Authors with 15 Joint Publications 44 Co-Co-Authors
all top 5

### Co-Authors

 48 single-authored 4 Kattelans, Thorsten 3 Haschke, Heike 2 Eisen, Henner 2 Frochte, Jörg 2 Loch, Birgit I. 1 Funaro, Daniele 1 Schamberg, Thomas 1 Witsch, Kristian
all top 5

### Serials

 12 Journal of Computational Physics 7 Journal of Scientific Computing 4 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 4 Applied Mathematics and Computation 4 SIAM Journal on Numerical Analysis 3 Computer Methods in Applied Mechanics and Engineering 3 Journal of Computational and Applied Mathematics 3 Numerische Mathematik 3 Applications of Mathematics 2 Numerical Algorithms 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Journal of Engineering Mathematics 1 Mathematics of Computation 1 Calcolo 1 SIAM Journal on Scientific and Statistical Computing 1 SIAM Journal on Scientific Computing 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Berichte der Gesellschaft für Mathematik und Datenverarbeitung, Bonn
all top 5

### Fields

 49 Numerical analysis (65-XX) 30 Partial differential equations (35-XX) 27 Fluid mechanics (76-XX) 6 Ordinary differential equations (34-XX) 2 Potential theory (31-XX) 1 Approximations and expansions (41-XX) 1 Mechanics of deformable solids (74-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

47 Publications have been cited 365 times in 217 Documents Cited by Year
Line relaxation for spectral multigrid methods. Zbl 0649.65055
Heinrichs, Wilhelm
1988
Spectral collocation methods and polar coordinate singularities. Zbl 0731.65095
Eisen, Henner; Heinrichs, Wilhelm; Witsch, Kristian
1991
Improved condition number for spectral methods. Zbl 0676.65115
Heinrichs, Wilhelm
1989
Spectral collocation schemes on the unit disc. Zbl 1057.65089
Heinrichs, Wilhelm
2004
Some results about the pseudospectral approximation of one-dimensional fourth-order problems. Zbl 0714.65074
Funaro, Daniele; Heinrichs, Wilhelm
1990
Least-squares spectral collocation for the Navier-Stokes equations. Zbl 1061.76055
Heinrichs, Wilhelm
2004
A new method of stabilization for singular perturbation problems with spectral methods. Zbl 0747.65064
Eisen, Henner; Heinrichs, Wilhelm
1992
Least-squares spectral collocation for discontinuous and singular perturbation problems. Zbl 1024.65072
Heinrichs, Wilhelm
2003
Multigrid methods for combined finite difference and Fourier problems. Zbl 0657.65118
Heinrichs, Wilhelm
1988
Spectral collocation on triangular elements. Zbl 0909.65089
Heinrichs, Wilhelm
1998
Splitting techniques for the pseudospectral approximation of the unsteady Stokes equations. Zbl 0764.76054
Heinrichs, Wilhelm
1993
Splitting techniques for the unsteady Stokes equations. Zbl 0911.76058
Heinrichs, Wilhelm
1998
Defect correction for convection-dominated flow. Zbl 0857.76050
Heinrichs, Wilhelm
1996
Improved Lebesgue constants on the triangle. Zbl 1071.65009
Heinrichs, Wilhelm
2005
Spectral methods with sparse matrices. Zbl 0661.65120
Heinrichs, Wilhelm
1989
Algebraic spectral multigrid methods. Zbl 0742.65085
Heinrichs, Wilhelm
1990
Spectral approximation of third-order problems. Zbl 0953.65072
Heinrichs, Wilhelm
1999
A stabilized treatment of the biharmonic operator with spectral methods. Zbl 0729.65088
Heinrichs, Wilhelm
1991
Kollokationsverfahren und Mehrgittermethoden bei elliptischen Randwertaufgaben. (Collocation and multigrid methods for elliptic boundary value problems). Zbl 0623.65122
Heinrichs, Wilhelm
1987
A spectral multigrid method for the Stokes problem in streamfunction formulation. Zbl 0759.76059
Heinrichs, Wilhelm
1992
Spectral schemes on triangular elements. Zbl 0987.65123
Heinrichs, Wilhelm; Loch, Birgit I.
2001
A stabilized multidomain approach for singular perturbation problems. Zbl 0757.76037
Heinrichs, Wilhelm
1992
Splitting techniques with staggered grids for the Navier-Stokes equations in the 2D case. Zbl 0987.76073
Haschke, Heike; Heinrichs, Wilhelm
2001
An adaptive least-squares spectral collocation method with triangular elements for the incompressible Navier-Stokes equations. Zbl 1200.76135
Heinrichs, Wilhelm
2006
An adaptive spectral least-squares scheme for the Burgers equation. Zbl 1117.65139
Heinrichs, Wilhelm
2007
Conservation of mass and momentum of the least-squares spectral collocation scheme for the Stokes problem. Zbl 1166.76040
Kattelans, Thorsten; Heinrichs, Wilhelm
2009
A splitting technique of higher order for the Navier-Stokes equations. Zbl 1162.76028
Frochte, Jörg; Heinrichs, Wilhelm
2009
A 3D spectral multigrid method. Zbl 0714.65090
Heinrichs, Wilhelm
1991
A direct solver for the least-squares spectral collocation system on rectangular elements for the incompressible Navier-Stokes equations. Zbl 1193.76096
Heinrichs, Wilhelm; Kattelans, Thorsten
2008
Least-squares spectral collocation with the overlapping Schwarz method for the incompressible Navier-Stokes equations. Zbl 1162.76371
Heinrichs, Wilhelm
2006
Collocation and full multigrid methods. Zbl 0637.65114
Heinrichs, Wilhelm
1988
Domain decomposition for fourth-order problems. Zbl 0773.65056
Heinrichs, Wilhelm
1993
Finite element preconditioning for spectral multigrid methods. Zbl 0795.65078
Heinrichs, Wilhelm
1993
Spectral viscosity for convection dominated flow. Zbl 0821.76059
Heinrichs, Wilhelm
1994
Spectral multigrid techniques for the Navier-Stokes equations. Zbl 0783.76071
Heinrichs, Wilhelm
1993
Stabilization techniques for spectral methods. Zbl 0751.65062
Heinrichs, Wilhelm
1991
Strong convergence estimates for pseudospectral methods. Zbl 0767.65064
Heinrichs, Wilhelm
1992
Mass and momentum conservation of the least-squares spectral collocation method for the Navier-Stokes equations. Zbl 1255.76090
Kattelans, Thorsten; Heinrichs, Wilhelm
2011
Konvergenzaussagen für Kollokationsverfahren bei elliptischen Randwertaufgaben. (Convergence of the collocation method for elliptic boundary value problems). Zbl 0663.65121
Heinrichs, Wilhelm
1989
Spectral methods for singular perturbation problems. Zbl 0812.65100
Heinrichs, Wilhelm
1994
A least-squares spectral collocation scheme with improved stability for the Stokes and the Navier-Stokes equations. Zbl 1165.76039
Kattelans, Thorsten; Heinrichs, Wilhelm
2008
Spectral multigrid methods for domain decomposition problems using patching techniques. Zbl 0795.65079
Heinrichs, Wilhelm
1993
Distributive relaxations for the spectral Stokes operator. Zbl 0795.76058
Heinrichs, Wilhelm
1993
Finite element versus finite difference preconditioning for spectral multigrid methods. Zbl 0785.65110
Heinrichs, W.
1992
High-order time splitting for the Stokes equations. Zbl 0901.76056
Heinrichs, Wilhelm
1996
An adaptive operator splitting of higher order for the Navier-Stokes equations. Zbl 1117.76033
Frochte, Jörg; Heinrichs, Wilhelm
2006
An adaptive refinement method for convection-diffusion problems. Zbl 1354.65220
Schamberg, Thomas; Heinrichs, Wilhelm
2004
Mass and momentum conservation of the least-squares spectral collocation method for the Navier-Stokes equations. Zbl 1255.76090
Kattelans, Thorsten; Heinrichs, Wilhelm
2011
Conservation of mass and momentum of the least-squares spectral collocation scheme for the Stokes problem. Zbl 1166.76040
Kattelans, Thorsten; Heinrichs, Wilhelm
2009
A splitting technique of higher order for the Navier-Stokes equations. Zbl 1162.76028
Frochte, Jörg; Heinrichs, Wilhelm
2009
A direct solver for the least-squares spectral collocation system on rectangular elements for the incompressible Navier-Stokes equations. Zbl 1193.76096
Heinrichs, Wilhelm; Kattelans, Thorsten
2008
A least-squares spectral collocation scheme with improved stability for the Stokes and the Navier-Stokes equations. Zbl 1165.76039
Kattelans, Thorsten; Heinrichs, Wilhelm
2008
An adaptive spectral least-squares scheme for the Burgers equation. Zbl 1117.65139
Heinrichs, Wilhelm
2007
An adaptive least-squares spectral collocation method with triangular elements for the incompressible Navier-Stokes equations. Zbl 1200.76135
Heinrichs, Wilhelm
2006
Least-squares spectral collocation with the overlapping Schwarz method for the incompressible Navier-Stokes equations. Zbl 1162.76371
Heinrichs, Wilhelm
2006
An adaptive operator splitting of higher order for the Navier-Stokes equations. Zbl 1117.76033
Frochte, Jörg; Heinrichs, Wilhelm
2006
Improved Lebesgue constants on the triangle. Zbl 1071.65009
Heinrichs, Wilhelm
2005
Spectral collocation schemes on the unit disc. Zbl 1057.65089
Heinrichs, Wilhelm
2004
Least-squares spectral collocation for the Navier-Stokes equations. Zbl 1061.76055
Heinrichs, Wilhelm
2004
An adaptive refinement method for convection-diffusion problems. Zbl 1354.65220
Schamberg, Thomas; Heinrichs, Wilhelm
2004
Least-squares spectral collocation for discontinuous and singular perturbation problems. Zbl 1024.65072
Heinrichs, Wilhelm
2003
Spectral schemes on triangular elements. Zbl 0987.65123
Heinrichs, Wilhelm; Loch, Birgit I.
2001
Splitting techniques with staggered grids for the Navier-Stokes equations in the 2D case. Zbl 0987.76073
Haschke, Heike; Heinrichs, Wilhelm
2001
Spectral approximation of third-order problems. Zbl 0953.65072
Heinrichs, Wilhelm
1999
Spectral collocation on triangular elements. Zbl 0909.65089
Heinrichs, Wilhelm
1998
Splitting techniques for the unsteady Stokes equations. Zbl 0911.76058
Heinrichs, Wilhelm
1998
Defect correction for convection-dominated flow. Zbl 0857.76050
Heinrichs, Wilhelm
1996
High-order time splitting for the Stokes equations. Zbl 0901.76056
Heinrichs, Wilhelm
1996
Spectral viscosity for convection dominated flow. Zbl 0821.76059
Heinrichs, Wilhelm
1994
Spectral methods for singular perturbation problems. Zbl 0812.65100
Heinrichs, Wilhelm
1994
Splitting techniques for the pseudospectral approximation of the unsteady Stokes equations. Zbl 0764.76054
Heinrichs, Wilhelm
1993
Domain decomposition for fourth-order problems. Zbl 0773.65056
Heinrichs, Wilhelm
1993
Finite element preconditioning for spectral multigrid methods. Zbl 0795.65078
Heinrichs, Wilhelm
1993
Spectral multigrid techniques for the Navier-Stokes equations. Zbl 0783.76071
Heinrichs, Wilhelm
1993
Spectral multigrid methods for domain decomposition problems using patching techniques. Zbl 0795.65079
Heinrichs, Wilhelm
1993
Distributive relaxations for the spectral Stokes operator. Zbl 0795.76058
Heinrichs, Wilhelm
1993
A new method of stabilization for singular perturbation problems with spectral methods. Zbl 0747.65064
Eisen, Henner; Heinrichs, Wilhelm
1992
A spectral multigrid method for the Stokes problem in streamfunction formulation. Zbl 0759.76059
Heinrichs, Wilhelm
1992
A stabilized multidomain approach for singular perturbation problems. Zbl 0757.76037
Heinrichs, Wilhelm
1992
Strong convergence estimates for pseudospectral methods. Zbl 0767.65064
Heinrichs, Wilhelm
1992
Finite element versus finite difference preconditioning for spectral multigrid methods. Zbl 0785.65110
Heinrichs, W.
1992
Spectral collocation methods and polar coordinate singularities. Zbl 0731.65095
Eisen, Henner; Heinrichs, Wilhelm; Witsch, Kristian
1991
A stabilized treatment of the biharmonic operator with spectral methods. Zbl 0729.65088
Heinrichs, Wilhelm
1991
A 3D spectral multigrid method. Zbl 0714.65090
Heinrichs, Wilhelm
1991
Stabilization techniques for spectral methods. Zbl 0751.65062
Heinrichs, Wilhelm
1991
Some results about the pseudospectral approximation of one-dimensional fourth-order problems. Zbl 0714.65074
Funaro, Daniele; Heinrichs, Wilhelm
1990
Algebraic spectral multigrid methods. Zbl 0742.65085
Heinrichs, Wilhelm
1990
Improved condition number for spectral methods. Zbl 0676.65115
Heinrichs, Wilhelm
1989
Spectral methods with sparse matrices. Zbl 0661.65120
Heinrichs, Wilhelm
1989
Konvergenzaussagen für Kollokationsverfahren bei elliptischen Randwertaufgaben. (Convergence of the collocation method for elliptic boundary value problems). Zbl 0663.65121
Heinrichs, Wilhelm
1989
Line relaxation for spectral multigrid methods. Zbl 0649.65055
Heinrichs, Wilhelm
1988
Multigrid methods for combined finite difference and Fourier problems. Zbl 0657.65118
Heinrichs, Wilhelm
1988
Collocation and full multigrid methods. Zbl 0637.65114
Heinrichs, Wilhelm
1988
Kollokationsverfahren und Mehrgittermethoden bei elliptischen Randwertaufgaben. (Collocation and multigrid methods for elliptic boundary value problems). Zbl 0623.65122
Heinrichs, Wilhelm
1987
all top 5

### Cited by 314 Authors

 33 Heinrichs, Wilhelm 18 Bhrawy, Ali Hassan 10 Doha, Eid H. 5 Si, Zhiyong 4 Abd-Elhameed, Waleed Mohamed 4 Bialecki, Bernard 4 Boyd, John Philip 4 Cao, Zhihao 4 He, Yinnian 4 Li, Huiyuan 3 Abdelkawy, Mohamed A. 3 Chen, Lizhen 3 Hafez, Ramy Mahmoud 3 Karageorghis, Andreas 3 Kattelans, Thorsten 3 Kollmann, Wolfgang 3 Ma, Heping 3 Molina-Meyer, Marcela 3 Pontaza, Juan P. 3 Pozrikidis, Constantine 3 Prieto Medina, Frank Richard 3 Shen, Jie 3 Wang, Lilian 2 An, Jing 2 Auteri, Franco 2 Chen, Suqin 2 Clain, Stéphane Louis 2 Costa, Ricardo 2 Coupez, Thierry 2 Dehghan Takht Fooladi, Mehdi 2 Fidkowski, Krzysztof J. 2 Fischer, Paul F. 2 Gallaire, François 2 Gerritsma, Marc I. 2 Guo, Ben-Yu 2 Hachem, Elie 2 Haschke, Heike 2 Hong, Youngjoon 2 Julien, Keith A. 2 Jun, Se-Ran 2 Kadalbajoo, Mohan K. 2 Kang, Sungkwon 2 Knezevic, David J. 2 Kwon, YongHoon 2 Lai, Mingchih 2 Liu, Steve Wenbin 2 Loch, Birgit I. 2 Machado, Gaspar J. 2 Maday, Yvon 2 Mohapatra, Subhashree 2 Patidar, Kailash C. 2 Pavarino, Luca Franco 2 Poochinapan, Kanyuta 2 Quartapelle, Luigi 2 Rapetti, Francesca 2 Serre, Eric 2 Shao, Wenting 2 Sommariva, Alvise 2 Stiller, Jörg 2 Süli, Endre E. 2 Sun, Tao 2 Townsend, Alex 2 Vianello, Marco 2 Viola, Francesco 2 Wang, Wei-Cheng 2 Wang, Weiming 2 Warburton, Timothy 2 Wongsaijai, Ben 2 Wu, Xionghua 2 Yi, Lijun 2 Zaky, Mahmoud A. 2 Zhou, Jianwei 2 Zhuang, Qingqu 1 Abreu, Eduardo 1 Aggul, Mustafa 1 Ahmad, Fayyaz 1 Ahmad, Shahid 1 Ahmad, Shamshad 1 Al-Shomrani, Mohammed Mosa 1 Albensoeder, Stefan 1 Aljahdali, Hani Moaiteq 1 Alofi, Abdulaziz Saleem Moslem 1 Alshomrani, Ali Saleh 1 Alzaidy, Jameel F. 1 Amirifar, R. 1 Ayyaswamy, Singaraj Kulandaiswamy 1 Badal, José 1 Balachandar, S. Raja 1 Bello-Maldonado, Pedro D. 1 Benouahmane, Brahim 1 Beris, Antony N. 1 Bernardi, Christine 1 Bistrian, Diana Alina 1 Bochev, Pavel B. 1 Bona, Jerry Lloyd 1 Bongarzone, Alessandro 1 Bontoux, Patrick 1 Botella, Olivier 1 Boullé, Nicolas 1 Briani, Matteo ...and 214 more Authors
all top 5

### Cited in 64 Serials

 44 Journal of Computational Physics 14 Applied Mathematics and Computation 13 Journal of Scientific Computing 12 Numerical Algorithms 11 Journal of Computational and Applied Mathematics 11 Applied Numerical Mathematics 10 Computers and Fluids 9 Computer Methods in Applied Mechanics and Engineering 6 Computers & Mathematics with Applications 6 Numerical Methods for Partial Differential Equations 4 Mathematics of Computation 4 SIAM Journal on Scientific Computing 3 Journal of Fluid Mechanics 3 Applied Mathematics Letters 3 Mathematical Problems in Engineering 3 Abstract and Applied Analysis 2 International Journal for Numerical Methods in Fluids 2 Journal of Engineering Mathematics 2 Calcolo 2 International Journal for Numerical Methods in Engineering 2 Numerische Mathematik 2 Mathematical and Computer Modelling 2 Applied Mathematical Modelling 2 International Journal of Computer Mathematics 2 Numerical Linear Algebra with Applications 2 Advances in Computational Mathematics 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Advances in Difference Equations 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Applicable Analysis 1 Computer Physics Communications 1 Indian Journal of Pure & Applied Mathematics 1 Mathematical Methods in the Applied Sciences 1 Shock Waves 1 Automatica 1 Collectanea Mathematica 1 Journal of Optimization Theory and Applications 1 Mathematics and Computers in Simulation 1 Meccanica 1 Numerical Functional Analysis and Optimization 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Studies in Applied Mathematics 1 Optimal Control Applications & Methods 1 Applied Mathematics and Mechanics. (English Edition) 1 Applications of Mathematics 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Journal of Mathematical Sciences (New York) 1 Computational and Applied Mathematics 1 Engineering Analysis with Boundary Elements 1 Doklady Mathematics 1 Journal of Vibration and Control 1 European Journal of Mechanics. B. Fluids 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 The ANZIAM Journal 1 Journal of Turbulence 1 Nonlinear Analysis. Modelling and Control 1 Computational Methods in Applied Mathematics 1 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 1 Journal of Applied Mathematics and Computing 1 International Journal of Numerical Analysis and Modeling 1 International Journal of Differential Equations 1 Advances in Applied Mathematics and Mechanics 1 Science China. Mathematics 1 Water Waves
all top 5

### Cited in 19 Fields

 168 Numerical analysis (65-XX) 85 Partial differential equations (35-XX) 81 Fluid mechanics (76-XX) 20 Ordinary differential equations (34-XX) 7 Mechanics of deformable solids (74-XX) 6 Approximations and expansions (41-XX) 4 Special functions (33-XX) 3 Potential theory (31-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)