Edit Profile (opens in new tab) Heinrichs, Wilhelm Compute Distance To: Compute 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) Publications by Year all cited Publications top 5 cited Publications 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 0649.65055Heinrichs, Wilhelm 25 1988 Spectral collocation methods and polar coordinate singularities. Zbl 0731.65095Eisen, Henner; Heinrichs, Wilhelm; Witsch, Kristian 24 1991 Improved condition number for spectral methods. Zbl 0676.65115Heinrichs, Wilhelm 22 1989 Spectral collocation schemes on the unit disc. Zbl 1057.65089Heinrichs, Wilhelm 20 2004 Some results about the pseudospectral approximation of one-dimensional fourth-order problems. Zbl 0714.65074Funaro, Daniele; Heinrichs, Wilhelm 16 1990 Least-squares spectral collocation for the Navier-Stokes equations. Zbl 1061.76055Heinrichs, Wilhelm 14 2004 A new method of stabilization for singular perturbation problems with spectral methods. Zbl 0747.65064Eisen, Henner; Heinrichs, Wilhelm 14 1992 Least-squares spectral collocation for discontinuous and singular perturbation problems. Zbl 1024.65072Heinrichs, Wilhelm 13 2003 Multigrid methods for combined finite difference and Fourier problems. Zbl 0657.65118Heinrichs, Wilhelm 13 1988 Spectral collocation on triangular elements. Zbl 0909.65089Heinrichs, Wilhelm 13 1998 Splitting techniques for the pseudospectral approximation of the unsteady Stokes equations. Zbl 0764.76054Heinrichs, Wilhelm 12 1993 Splitting techniques for the unsteady Stokes equations. Zbl 0911.76058Heinrichs, Wilhelm 12 1998 Defect correction for convection-dominated flow. Zbl 0857.76050Heinrichs, Wilhelm 10 1996 Improved Lebesgue constants on the triangle. Zbl 1071.65009Heinrichs, Wilhelm 10 2005 Spectral methods with sparse matrices. Zbl 0661.65120Heinrichs, Wilhelm 10 1989 Algebraic spectral multigrid methods. Zbl 0742.65085Heinrichs, Wilhelm 9 1990 Spectral approximation of third-order problems. Zbl 0953.65072Heinrichs, Wilhelm 9 1999 A stabilized treatment of the biharmonic operator with spectral methods. Zbl 0729.65088Heinrichs, Wilhelm 9 1991 Kollokationsverfahren und Mehrgittermethoden bei elliptischen Randwertaufgaben. (Collocation and multigrid methods for elliptic boundary value problems). Zbl 0623.65122Heinrichs, Wilhelm 9 1987 A spectral multigrid method for the Stokes problem in streamfunction formulation. Zbl 0759.76059Heinrichs, Wilhelm 8 1992 Spectral schemes on triangular elements. Zbl 0987.65123Heinrichs, Wilhelm; Loch, Birgit I. 8 2001 A stabilized multidomain approach for singular perturbation problems. Zbl 0757.76037Heinrichs, Wilhelm 7 1992 Splitting techniques with staggered grids for the Navier-Stokes equations in the 2D case. Zbl 0987.76073Haschke, Heike; Heinrichs, Wilhelm 7 2001 An adaptive least-squares spectral collocation method with triangular elements for the incompressible Navier-Stokes equations. Zbl 1200.76135Heinrichs, Wilhelm 6 2006 An adaptive spectral least-squares scheme for the Burgers equation. Zbl 1117.65139Heinrichs, Wilhelm 6 2007 Conservation of mass and momentum of the least-squares spectral collocation scheme for the Stokes problem. Zbl 1166.76040Kattelans, Thorsten; Heinrichs, Wilhelm 5 2009 A splitting technique of higher order for the Navier-Stokes equations. Zbl 1162.76028Frochte, Jörg; Heinrichs, Wilhelm 4 2009 A 3D spectral multigrid method. Zbl 0714.65090Heinrichs, Wilhelm 4 1991 A direct solver for the least-squares spectral collocation system on rectangular elements for the incompressible Navier-Stokes equations. Zbl 1193.76096Heinrichs, Wilhelm; Kattelans, Thorsten 4 2008 Least-squares spectral collocation with the overlapping Schwarz method for the incompressible Navier-Stokes equations. Zbl 1162.76371Heinrichs, Wilhelm 4 2006 Collocation and full multigrid methods. Zbl 0637.65114Heinrichs, Wilhelm 4 1988 Domain decomposition for fourth-order problems. Zbl 0773.65056Heinrichs, Wilhelm 3 1993 Finite element preconditioning for spectral multigrid methods. Zbl 0795.65078Heinrichs, Wilhelm 3 1993 Spectral viscosity for convection dominated flow. Zbl 0821.76059Heinrichs, Wilhelm 3 1994 Spectral multigrid techniques for the Navier-Stokes equations. Zbl 0783.76071Heinrichs, Wilhelm 3 1993 Stabilization techniques for spectral methods. Zbl 0751.65062Heinrichs, Wilhelm 3 1991 Strong convergence estimates for pseudospectral methods. Zbl 0767.65064Heinrichs, Wilhelm 3 1992 Mass and momentum conservation of the least-squares spectral collocation method for the Navier-Stokes equations. Zbl 1255.76090Kattelans, Thorsten; Heinrichs, Wilhelm 3 2011 Konvergenzaussagen für Kollokationsverfahren bei elliptischen Randwertaufgaben. (Convergence of the collocation method for elliptic boundary value problems). Zbl 0663.65121Heinrichs, Wilhelm 3 1989 Spectral methods for singular perturbation problems. Zbl 0812.65100Heinrichs, Wilhelm 2 1994 A least-squares spectral collocation scheme with improved stability for the Stokes and the Navier-Stokes equations. Zbl 1165.76039Kattelans, Thorsten; Heinrichs, Wilhelm 2 2008 Spectral multigrid methods for domain decomposition problems using patching techniques. Zbl 0795.65079Heinrichs, Wilhelm 1 1993 Distributive relaxations for the spectral Stokes operator. Zbl 0795.76058Heinrichs, Wilhelm 1 1993 Finite element versus finite difference preconditioning for spectral multigrid methods. Zbl 0785.65110Heinrichs, W. 1 1992 High-order time splitting for the Stokes equations. Zbl 0901.76056Heinrichs, Wilhelm 1 1996 An adaptive operator splitting of higher order for the Navier-Stokes equations. Zbl 1117.76033Frochte, Jörg; Heinrichs, Wilhelm 1 2006 An adaptive refinement method for convection-diffusion problems. Zbl 1354.65220Schamberg, Thomas; Heinrichs, Wilhelm 1 2004 Mass and momentum conservation of the least-squares spectral collocation method for the Navier-Stokes equations. Zbl 1255.76090Kattelans, Thorsten; Heinrichs, Wilhelm 3 2011 Conservation of mass and momentum of the least-squares spectral collocation scheme for the Stokes problem. Zbl 1166.76040Kattelans, Thorsten; Heinrichs, Wilhelm 5 2009 A splitting technique of higher order for the Navier-Stokes equations. Zbl 1162.76028Frochte, Jörg; Heinrichs, Wilhelm 4 2009 A direct solver for the least-squares spectral collocation system on rectangular elements for the incompressible Navier-Stokes equations. Zbl 1193.76096Heinrichs, Wilhelm; Kattelans, Thorsten 4 2008 A least-squares spectral collocation scheme with improved stability for the Stokes and the Navier-Stokes equations. Zbl 1165.76039Kattelans, Thorsten; Heinrichs, Wilhelm 2 2008 An adaptive spectral least-squares scheme for the Burgers equation. Zbl 1117.65139Heinrichs, Wilhelm 6 2007 An adaptive least-squares spectral collocation method with triangular elements for the incompressible Navier-Stokes equations. Zbl 1200.76135Heinrichs, Wilhelm 6 2006 Least-squares spectral collocation with the overlapping Schwarz method for the incompressible Navier-Stokes equations. Zbl 1162.76371Heinrichs, Wilhelm 4 2006 An adaptive operator splitting of higher order for the Navier-Stokes equations. Zbl 1117.76033Frochte, Jörg; Heinrichs, Wilhelm 1 2006 Improved Lebesgue constants on the triangle. Zbl 1071.65009Heinrichs, Wilhelm 10 2005 Spectral collocation schemes on the unit disc. Zbl 1057.65089Heinrichs, Wilhelm 20 2004 Least-squares spectral collocation for the Navier-Stokes equations. Zbl 1061.76055Heinrichs, Wilhelm 14 2004 An adaptive refinement method for convection-diffusion problems. Zbl 1354.65220Schamberg, Thomas; Heinrichs, Wilhelm 1 2004 Least-squares spectral collocation for discontinuous and singular perturbation problems. Zbl 1024.65072Heinrichs, Wilhelm 13 2003 Spectral schemes on triangular elements. Zbl 0987.65123Heinrichs, Wilhelm; Loch, Birgit I. 8 2001 Splitting techniques with staggered grids for the Navier-Stokes equations in the 2D case. Zbl 0987.76073Haschke, Heike; Heinrichs, Wilhelm 7 2001 Spectral approximation of third-order problems. Zbl 0953.65072Heinrichs, Wilhelm 9 1999 Spectral collocation on triangular elements. Zbl 0909.65089Heinrichs, Wilhelm 13 1998 Splitting techniques for the unsteady Stokes equations. Zbl 0911.76058Heinrichs, Wilhelm 12 1998 Defect correction for convection-dominated flow. Zbl 0857.76050Heinrichs, Wilhelm 10 1996 High-order time splitting for the Stokes equations. Zbl 0901.76056Heinrichs, Wilhelm 1 1996 Spectral viscosity for convection dominated flow. Zbl 0821.76059Heinrichs, Wilhelm 3 1994 Spectral methods for singular perturbation problems. Zbl 0812.65100Heinrichs, Wilhelm 2 1994 Splitting techniques for the pseudospectral approximation of the unsteady Stokes equations. Zbl 0764.76054Heinrichs, Wilhelm 12 1993 Domain decomposition for fourth-order problems. Zbl 0773.65056Heinrichs, Wilhelm 3 1993 Finite element preconditioning for spectral multigrid methods. Zbl 0795.65078Heinrichs, Wilhelm 3 1993 Spectral multigrid techniques for the Navier-Stokes equations. Zbl 0783.76071Heinrichs, Wilhelm 3 1993 Spectral multigrid methods for domain decomposition problems using patching techniques. Zbl 0795.65079Heinrichs, Wilhelm 1 1993 Distributive relaxations for the spectral Stokes operator. Zbl 0795.76058Heinrichs, Wilhelm 1 1993 A new method of stabilization for singular perturbation problems with spectral methods. Zbl 0747.65064Eisen, Henner; Heinrichs, Wilhelm 14 1992 A spectral multigrid method for the Stokes problem in streamfunction formulation. Zbl 0759.76059Heinrichs, Wilhelm 8 1992 A stabilized multidomain approach for singular perturbation problems. Zbl 0757.76037Heinrichs, Wilhelm 7 1992 Strong convergence estimates for pseudospectral methods. Zbl 0767.65064Heinrichs, Wilhelm 3 1992 Finite element versus finite difference preconditioning for spectral multigrid methods. Zbl 0785.65110Heinrichs, W. 1 1992 Spectral collocation methods and polar coordinate singularities. Zbl 0731.65095Eisen, Henner; Heinrichs, Wilhelm; Witsch, Kristian 24 1991 A stabilized treatment of the biharmonic operator with spectral methods. Zbl 0729.65088Heinrichs, Wilhelm 9 1991 A 3D spectral multigrid method. Zbl 0714.65090Heinrichs, Wilhelm 4 1991 Stabilization techniques for spectral methods. Zbl 0751.65062Heinrichs, Wilhelm 3 1991 Some results about the pseudospectral approximation of one-dimensional fourth-order problems. Zbl 0714.65074Funaro, Daniele; Heinrichs, Wilhelm 16 1990 Algebraic spectral multigrid methods. Zbl 0742.65085Heinrichs, Wilhelm 9 1990 Improved condition number for spectral methods. Zbl 0676.65115Heinrichs, Wilhelm 22 1989 Spectral methods with sparse matrices. Zbl 0661.65120Heinrichs, Wilhelm 10 1989 Konvergenzaussagen für Kollokationsverfahren bei elliptischen Randwertaufgaben. (Convergence of the collocation method for elliptic boundary value problems). Zbl 0663.65121Heinrichs, Wilhelm 3 1989 Line relaxation for spectral multigrid methods. Zbl 0649.65055Heinrichs, Wilhelm 25 1988 Multigrid methods for combined finite difference and Fourier problems. Zbl 0657.65118Heinrichs, Wilhelm 13 1988 Collocation and full multigrid methods. Zbl 0637.65114Heinrichs, Wilhelm 4 1988 Kollokationsverfahren und Mehrgittermethoden bei elliptischen Randwertaufgaben. (Collocation and multigrid methods for elliptic boundary value problems). Zbl 0623.65122Heinrichs, Wilhelm 9 1987 all cited Publications top 5 cited Publications 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) Citations by Year