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## Ihlenburg, Frank

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 Author ID: ihlenburg.frank Published as: Ihlenburg, Frank; Ihlenburg, F.
 Documents Indexed: 26 Publications since 1985, including 1 Book
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#### Co-Authors

 7 single-authored 8 Babuška, Ivo 3 Demkowicz, Leszek F. 2 Cabos, Christian 2 Gangaraj, S. K. 2 Shirron, Joseph J. 2 Strouboulis, Theofanis 1 Beiersdorf, Ch. 1 Bouillard, Philippe 1 Gerdes, Klaus 1 Makridakis, Charalambos G. 1 Paik, Ellen T. 1 Pfau, Helmut 1 Sauter, Stefan A. 1 Tiedt, Rolf-Peter
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#### Serials

 3 Computer Methods in Applied Mechanics and Engineering 3 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 3 International Journal for Numerical Methods in Engineering 3 Journal of Computational Acoustics 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Computers & Mathematics with Applications 1 Numerische Mathematik 1 SIAM Journal on Numerical Analysis 1 Wissenschaftliche Zeitschrift der Wilhelm-Pieck-Universität Rostock. Naturwissenschaftliche Reihe 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Computer Assisted Mechanics and Engineering Sciences 1 Applied Mathematical Sciences
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#### Fields

 17 Numerical analysis (65-XX) 12 Fluid mechanics (76-XX) 10 Partial differential equations (35-XX) 10 Mechanics of deformable solids (74-XX) 2 Optics, electromagnetic theory (78-XX) 1 Ordinary differential equations (34-XX) 1 Computer science (68-XX)

#### Citations contained in zbMATH Open

19 Publications have been cited 1,017 times in 577 Documents Cited by Year
Finite element analysis of acoustic scattering. Zbl 0908.65091
Ihlenburg, Frank
1998
Finite element solution of the Helmholtz equation with high wave number. I: The $$h$$-version of the FEM. Zbl 0838.65108
Ihlenburg, Frank; Babuška, Ivo
1995
A generalized finite element method for solving the Helmholtz equation in two dimensions with minimal pollution. Zbl 0863.73055
Babuška, Ivo; Ihlenburg, Frank; Paik, Ellen T.; Sauter, Stefan A.
1995
Finite element solution of the Helmholtz equation with high wave number. II: The $$h-p$$ version of the FEM. Zbl 0884.65104
Ihlenburg, Frank; Babuška, Ivo
1997
Dispersion analysis and error estimation of Galerkin finite element methods for the Helmholtz equation. Zbl 0851.73062
Ihlenburg, Frank; Babuška, Ivo
1995
Error estimation and adaptivity for the finite element method in acoustics: 2D and 3D applications. Zbl 0954.76040
Bouillard, Ph.; Ihlenburg, F.
1999
A posteriori error estimation for finite element solutions of Helmholtz’ equation. I: The quality of local indicators and estimators. Zbl 0974.76042
Babuška, I.; Ihlenburg, F.; Strouboulis, T.; Gangaraj, S. K.
1997
A posteriori error estimation for finite element solutions of Helmholtz’ equation. II: Estimation of the pollution error. Zbl 0974.76043
Babuška, I.; Ihlenburg, F.; Strouboulis, T.; Gangaraj, S. K.
1997
Analysis of a coupled finite-infinite element method for exterior Helmholtz problems. Zbl 1013.65122
Demkowicz, Leszek; Ihlenburg, Frank
2001
On the pollution effect in FE solutions of the 3D-Helmholtz equation. Zbl 0941.65114
Gerdes, K.; Ihlenburg, F.
1999
Solution of Helmholtz problems by knowledge-based FEM. Zbl 0951.65115
Ihlenburg, Frank; Babuška, Ivo
1997
On fundamental aspects of exterior approximations with infinite elements. Zbl 1360.76143
Ihlenburg, Frank
2000
Analysis and finite element methods for a fluid-solid interaction problem in one dimension. Zbl 0870.76043
Makridakis, Ch.; Ihlenburg, F.; Babuška, Ivo
1996
Vibrational analysis of ships with coupled finite and boundary elements. Zbl 1360.74146
Cabos, Christian; Ihlenburg, Frank
2003
Proof of convergence for the coupled finite/infinite element methods for Helmholtz exterior boundary-value problems. Zbl 0952.65087
Demkowicz, Leszek; Ihlenburg, Frank
1998
Computational simulation of acoustic fluid-structure interaction problems. Zbl 0925.73852
Ihlenburg, Frank; Shirron, Joseph
1998
Analysis of a finite-infinite element method for exterior Helmholtz problems. Zbl 0925.65187
Ihlenburg, Frank; Demkowicz, Leszek
1998
Error estimates of FEM for numerical solution of the Helmholtz equation. Zbl 0925.65147
Ihlenburg, F.
1996
Time-harmonic analysis of structural in-fluid vibrations with a coupled finite-boundary element method. Zbl 1119.74616
Beiersdorf, Ch.; Cabos, Ch.; Ihlenburg, F.
1999
Vibrational analysis of ships with coupled finite and boundary elements. Zbl 1360.74146
Cabos, Christian; Ihlenburg, Frank
2003
Analysis of a coupled finite-infinite element method for exterior Helmholtz problems. Zbl 1013.65122
Demkowicz, Leszek; Ihlenburg, Frank
2001
On fundamental aspects of exterior approximations with infinite elements. Zbl 1360.76143
Ihlenburg, Frank
2000
Error estimation and adaptivity for the finite element method in acoustics: 2D and 3D applications. Zbl 0954.76040
Bouillard, Ph.; Ihlenburg, F.
1999
On the pollution effect in FE solutions of the 3D-Helmholtz equation. Zbl 0941.65114
Gerdes, K.; Ihlenburg, F.
1999
Time-harmonic analysis of structural in-fluid vibrations with a coupled finite-boundary element method. Zbl 1119.74616
Beiersdorf, Ch.; Cabos, Ch.; Ihlenburg, F.
1999
Finite element analysis of acoustic scattering. Zbl 0908.65091
Ihlenburg, Frank
1998
Proof of convergence for the coupled finite/infinite element methods for Helmholtz exterior boundary-value problems. Zbl 0952.65087
Demkowicz, Leszek; Ihlenburg, Frank
1998
Computational simulation of acoustic fluid-structure interaction problems. Zbl 0925.73852
Ihlenburg, Frank; Shirron, Joseph
1998
Analysis of a finite-infinite element method for exterior Helmholtz problems. Zbl 0925.65187
Ihlenburg, Frank; Demkowicz, Leszek
1998
Finite element solution of the Helmholtz equation with high wave number. II: The $$h-p$$ version of the FEM. Zbl 0884.65104
Ihlenburg, Frank; Babuška, Ivo
1997
A posteriori error estimation for finite element solutions of Helmholtz’ equation. I: The quality of local indicators and estimators. Zbl 0974.76042
Babuška, I.; Ihlenburg, F.; Strouboulis, T.; Gangaraj, S. K.
1997
A posteriori error estimation for finite element solutions of Helmholtz’ equation. II: Estimation of the pollution error. Zbl 0974.76043
Babuška, I.; Ihlenburg, F.; Strouboulis, T.; Gangaraj, S. K.
1997
Solution of Helmholtz problems by knowledge-based FEM. Zbl 0951.65115
Ihlenburg, Frank; Babuška, Ivo
1997
Analysis and finite element methods for a fluid-solid interaction problem in one dimension. Zbl 0870.76043
Makridakis, Ch.; Ihlenburg, F.; Babuška, Ivo
1996
Error estimates of FEM for numerical solution of the Helmholtz equation. Zbl 0925.65147
Ihlenburg, F.
1996
Finite element solution of the Helmholtz equation with high wave number. I: The $$h$$-version of the FEM. Zbl 0838.65108
Ihlenburg, Frank; Babuška, Ivo
1995
A generalized finite element method for solving the Helmholtz equation in two dimensions with minimal pollution. Zbl 0863.73055
Babuška, Ivo; Ihlenburg, Frank; Paik, Ellen T.; Sauter, Stefan A.
1995
Dispersion analysis and error estimation of Galerkin finite element methods for the Helmholtz equation. Zbl 0851.73062
Ihlenburg, Frank; Babuška, Ivo
1995
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#### Cited by 831 Authors

 16 Harari, Isaac 15 Demkowicz, Leszek F. 13 Nicholls, David P. 12 Desmet, Wim 11 Bouillard, Philippe 10 Chai, Yingbin 9 Babuška, Ivo 9 Farhat, Charbel H. 9 Ladevèze, Pierre 9 Li, Wei 9 Sauter, Stefan A. 8 He, Zhicheng 8 Loula, Abimael Fernando Dourado 8 Pardo, David 8 Spence, Euan A. 8 Vandepitte, Dirk 8 Wu, Haijun 7 Djellouli, Rabia 7 Liu, Gui-Rong 7 Riou, Hervé 7 Wu, Tingting 6 Antoine, Xavier 6 Barucq, Hélène 6 Chaumont-Frelet, Théophile 6 Du, Yu 6 Dutra do Carmo, Eduardo Gomes 6 Gander, Martin Jakob 6 Ihlenburg, Frank 6 Meddahi, Salim 6 Monk, Peter B. 6 Perugia, Ilaria 5 Alvarez, Gustavo Benitez 5 Bériot, Hadrien 5 Cheng, Dongsheng 5 Deckers, Elke 5 Gabard, Gwénaël 5 Givoli, Dan 5 Graham, Ivan G. 5 Huttunen, Tomi 5 Laghrouche, Omar 5 Li, Eric 5 Marburg, Steffen 5 Pavarino, Luca Franco 5 Rochinha, Fernando Alves 5 Tadeu, António J. B. 5 Tezaur, Radek 5 Toivanen, Jari 5 Trevelyan, Jon 5 von Estorff, Otto 5 Yao, Lingyun 5 Zampieri, Elena 4 Ainsworth, Mark 4 Aquino, Wilkins 4 Astley, R. Jeremy 4 Calo, Victor Manuel 4 Chen, Linchong 4 Cheng, Ai Guo 4 Díez, Pedro 4 Eason, Thomas 4 Geuzaine, Christophe A. 4 Gong, Zhixiong 4 Heikkola, Erkki 4 Kovalevsky, Louis 4 Koyama, Daisuke 4 Li, Tianyun 4 Li, Xiaolin 4 Magoulès, Frédéric 4 Melenk, Jens Markus 4 Mohamed, M. Shadi 4 Mönkölä, Sanna 4 Nigam, Nilima 4 Oberai, Assad A. 4 Peterseim, Daniel 4 Pinsky, Peter M. 4 Pluymers, Bert 4 Rossi, Tuomo 4 Rouch, Philippe 4 Sheu, Tony Wen-Hann 4 Shirron, Joseph J. 4 Tsynkov, Semyon V. 4 Turkel, Eli L. 4 Van Genechten, Bert 4 Villamizar, Vianey 4 Vuik, Cornelis 4 Wajid, Hafiz Abdul 4 You, Xiangyu 4 Zepeda-Núñez, Leonardo 4 Zhang, GuiYong 4 Zhu, Lingxue 3 Atak, Onur 3 Barbone, Paul E. 3 Bergen, Bart 3 Bermúdez, Alfredo 3 Bettess, Peter 3 Bonnet, Marc 3 Boroomand, Bijan 3 Boulmezaoud, Tahar Zamène 3 Brigham, John C. 3 Burman, Erik 3 Chen, Chifang ...and 731 more Authors
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#### Cited in 84 Serials

 124 Computer Methods in Applied Mechanics and Engineering 50 Journal of Computational Physics 40 International Journal for Numerical Methods in Engineering 30 Engineering Analysis with Boundary Elements 29 Computers & Mathematics with Applications 28 Journal of Computational and Applied Mathematics 26 Journal of Computational Acoustics 21 Journal of Scientific Computing 15 Applied Numerical Mathematics 13 Applied Mathematical Modelling 12 Computational Mechanics 11 Numerische Mathematik 10 SIAM Journal on Scientific Computing 9 Mathematics of Computation 9 Numerical Methods for Partial Differential Equations 9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 7 Wave Motion 7 SIAM Journal on Numerical Analysis 7 Mathematical Problems in Engineering 7 Archives of Computational Methods in Engineering 6 Applied Mathematics and Computation 6 Advances in Computational Mathematics 5 International Journal of Computational Methods 3 Acta Mechanica 3 Journal of Mathematical Analysis and Applications 3 Calcolo 3 Communications in Numerical Methods in Engineering 3 Computational and Applied Mathematics 3 Engineering Computations 3 International Journal for Computational Methods in Engineering Science and Mechanics 2 International Journal for Numerical Methods in Fluids 2 Mathematical Methods in the Applied Sciences 2 BIT 2 Journal of Differential Equations 2 Mathematics and Computers in Simulation 2 Quarterly of Applied Mathematics 2 Japan Journal of Industrial and Applied Mathematics 2 Numerical Algorithms 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Structural and Multidisciplinary Optimization 2 Advances in Difference Equations 2 Inverse Problems in Science and Engineering 2 Chebyshevskiĭ Sbornik 1 Computers and Fluids 1 Inverse Problems 1 Journal of Engineering Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Computing 1 Integral Equations and Operator Theory 1 COMPEL 1 Journal of Integral Equations and Applications 1 Applications of Mathematics 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 International Journal of Computer Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 Advances in Engineering Software 1 The Journal of Analysis 1 Numerical Linear Algebra with Applications 1 Turkish Journal of Mathematics 1 Journal of Inverse and Ill-Posed Problems 1 Complexity 1 Discrete and Continuous Dynamical Systems 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Journal of Modern Optics 1 Journal of Nonlinear Mathematical Physics 1 Foundations of Computational Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Applied Mathematics 1 Waves in Random and Complex Media 1 Discrete and Continuous Dynamical Systems. Series S 1 International Journal for Numerical Methods in Biomedical Engineering 1 Arabian Journal for Science and Engineering 1 SIAM/ASA Journal on Uncertainty Quantification 1 Journal of Linear and Topological Algebra 1 Research in the Mathematical Sciences 1 Computational Methods for Differential Equations 1 Pure and Applied Analysis 1 Communications on Applied Mathematics and Computation 1 Mechanics of Solids 1 SN Partial Differential Equations and Applications 1 Results in Applied Mathematics
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#### Cited in 26 Fields

 414 Numerical analysis (65-XX) 219 Fluid mechanics (76-XX) 206 Partial differential equations (35-XX) 125 Mechanics of deformable solids (74-XX) 82 Optics, electromagnetic theory (78-XX) 7 Ordinary differential equations (34-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 5 Geophysics (86-XX) 4 Approximations and expansions (41-XX) 4 Integral equations (45-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Quantum theory (81-XX) 3 Systems theory; control (93-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Functions of a complex variable (30-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Astronomy and astrophysics (85-XX) 1 Biology and other natural sciences (92-XX)