×

zbMATH — the first resource for mathematics

Heil, Matthias

Compute Distance To:
Author ID: heil.matthias Recent zbMATH articles by "Heil, Matthias"
Published as: Heil, M.; Heil, Matthias
Documents Indexed: 53 Publications since 1995, including 1 Book

Publications by Year

Citations contained in zbMATH Open

43 Publications have been cited 537 times in 336 Documents Cited by Year
An efficient solver for the fully coupled solution of large-displacement fluid-structure interaction problems. Zbl 1137.74439
Heil, Matthias
101
2004
Solvers for large-displacement fluid-structure interaction problems: Segregated versus monolithic approaches. Zbl 1309.76126
Heil, Matthias; Hazel, Andrew L.; Boyle, Jonathan
53
2008
oomph-lib – an object-oriented multi-physics finite-element library. Zbl 1323.74085
Heil, Matthias; Hazel, Andrew L.
31
2006
Fluid-structure interaction in internal physiological flows. Zbl 1299.76319
Heil, Matthias; Hazel, Andrew L.
26
2011
High-frequency self-excited oscillations in a collapsible-channel flow. Zbl 1049.76015
Jensen, Oliver E.; Heil, Matthias
25
2003
Computing Riemann theta functions. Zbl 1092.33018
Deconinck, Bernard; Heil, Matthias; Bobenko, Alexander; van Hoeij, Mark; Schmies, Marcus
24
2004
Stokes flow in an elastic tube – a large-displacement fluid-structure interaction problem. Zbl 0916.73054
Heil, Matthias
20
1998
Three-dimensional airway reopening: the steady propagation of a semi-infinite bubble into a buckled elastic tube. Zbl 1037.76059
Hazel, Andrew L.; Heil, Matthias
17
2003
Modelling the suppression of viscous fingering in elastic-walled Hele-Shaw cells. Zbl 1294.76098
Pihler-Puzović, Draga; Périllat, Raphaël; Russell, Matthew; Juel, Anne; Heil, Matthias
16
2013
Steady finite-Reynolds-number flows in three-dimensional collapsible tubes. Zbl 1070.76011
Hazel, Andrew L.; Heil, Matthias
13
2003
Stokes flow in collapsible tubes: Computation and experiment. Zbl 0922.76113
Heil, Matthias
13
1997
Displacement flows under elastic membranes. I: Experiments and direct numerical simulations. Zbl 1382.76069
Pihler-Puzović, Draga; Juel, Anne; Peng, Gunnar G.; Lister, John R.; Heil, Matthias
12
2015
Displacement flows under elastic membranes. II: Analysis of interfacial effects. Zbl 1382.76068
Peng, Gunnar G.; Pihler-Puzović, Draga; Juel, Anne; Heil, Matthias; Lister, John R.
11
2015
Finite Reynolds number effects in the bretherton problem. Zbl 1184.76214
Heil, Matthias
11
2001
The energetics of flow through a rapidly oscillating tube. I: General theory. Zbl 1189.76133
Whittaker, Robert J.; Waters, Sarah L.; Jensen, Oliver E.; Boyle, Jonathan; Heil, Matthias
10
2010
The steady propagation of a semi-infinite bubble into a tube of elliptical or rectangular cross-section. Zbl 1163.76355
Hazel, Andrew L.; Heil, Matthias
10
2002
The interaction between viscous fingering and wrinkling in elastic-walled Hele-Shaw cells. Zbl 1321.76022
Pihler-Puzović, D.; Juel, A.; Heil, M.
9
2014
The energetics of flow through a rapidly oscillating tube. II: Application to an elliptical tube. Zbl 1189.76132
Whittaker, Robert J.; Heil, Matthias; Boyle, Jonathan; Jensen, Oliver E.; Waters, Sarah L.
9
2010
Finite Reynolds number effects in the propagation of an air finger into a liquid-filled flexible-walled channel. Zbl 0997.76086
Heil, Matthias
9
2000
Minimal liquid bridges in non-axisymmetrically buckled elastic tubes. Zbl 0959.74018
Heil, Matthias
9
1999
An efficient preconditioner for monolithically-coupled large-displacement fluid-structure interaction problems with pseudo-solid mesh updates. Zbl 1284.65049
Muddle, Richard L.; Mihajlović, Milan; Heil, Matthias
8
2012
Sloshing and slamming oscillations in a collapsible channel flow. Zbl 1205.76077
Stewart, Peter S.; Heil, Matthias; Waters, Sarah L.; Jensen, Oliver E.
8
2010
How rapidly oscillating collapsible tubes extract energy from a viscous mean flow. Zbl 1151.76418
Heil, Matthias; Waters, Sarah L.
8
2008
Transverse flows in rapidly oscillating elastic cylindrical shells. Zbl 1082.74015
Heil, Matthias; Waters, Sarah L.
8
2006
A rational derivation of a tube law from shell theory. Zbl 1256.74017
Whittaker, Robert J.; Heil, Matthias; Jensen, Oliver E.; Waters, Sarah L.
7
2010
Predicting the onset of high-frequency self-excited oscillations in elastic-walled tubes. Zbl 1211.74119
Whittaker, Robert J.; Heil, Matthias; Jensen, Oliver E.; Waters, Sarah L.
7
2010
Self-excited oscillations in three-dimensional collapsible tubes: simulating their onset and large-amplitude oscillations. Zbl 1193.74034
Heil, Matthias; Boyle, Jonathan
7
2010
Flows in deformable tubes and channels. Theoretical models and biological applications. Zbl 1077.76075
Heil, Matthias; Jensen, Oliver R.
7
2003
Airway closure: Surface-tension-driven non-axisymmetric instabilities of liquid-lined elastic rings. Zbl 1156.74320
Heil, Matthias; White, Joseph P.
7
2002
Three-dimensional instabilities of liquid-lined elastic tubes: A thin-film fluid-structure interaction model. Zbl 1187.76562
White, Joseph P.; Heil, Matthias
6
2005
Viscous fingering in a radial elastic-walled Hele-Shaw cell. Zbl 1415.76203
Pihler-Puzović, Draga; Peng, Gunnar G.; Lister, John R.; Heil, Matthias; Juel, Anne
5
2018
Topological fluid mechanics of the formation of the Kármán-vortex street. Zbl 1383.76106
Heil, Matthias; Rosso, Jordan; Hazel, Andrew L.; Brøns, Morten
5
2017
Surface-tension-induced buckling of liquid-lined elastic tubes: a model for pulmonary airway closure. Zbl 1139.74413
Hazel, Andrew L.; Heil, Matthias
5
2005
On the liquid lining in fluid-conveying curved tubes. Zbl 1250.76193
Hazel, Andrew L.; Heil, Matthias; Waters, Sarah L.; Oliver, James M.
4
2012
Instabilities in blistering. Zbl 1384.76019
Juel, Anne; Pihler-Puzović, Draga; Heil, Matthias
3
2018
The influence of gravity on the steady propagation of a semi-infinite bubble into a flexible channel. Zbl 1182.76309
Hazel, Andrew L.; Heil, Matthias
3
2008
The propagation of low-viscosity fingers into fluid-filled branching networks. Zbl 1097.76021
Baroud, Charles N.; Tsikata, Sedina; Heil, Matthias
3
2006
The energetics of flow through a rapidly oscillating tube with slowly varying amplitude. Zbl 1228.76061
Whittaker, Robert J.; Heil, Matthias; Waters, Sarah L.
2
2011
Deformation and sorting of capsules in a T-junction. Zbl 07150099
Häner, Edgar; Heil, Matthias; Juel, Anne
1
2020
Bifurcation theory for vortices with application to boundary layer eruption. Zbl 1415.76175
Nielsen, Anne R.; Heil, Matthias; Andersen, Morten; Brøns, Morten
1
2019
Viscous drops on a layer of the same fluid: from sinking, wedging and spreading to their long-time evolution. Zbl 1430.76043
Bergemann, Nico; Juel, Anne; Heil, Matthias
1
2018
A parameter-free perfectly matched layer formulation for the finite-element-based solution of the Helmholtz equation. Zbl 1352.65484
Cimpeanu, Radu; Martinsson, Anton; Heil, Matthias
1
2015
Numerical tools for the study of finite gap solutions of integrable systems. Zbl 0858.58044
Heil, Matthias
1
1995
Deformation and sorting of capsules in a T-junction. Zbl 07150099
Häner, Edgar; Heil, Matthias; Juel, Anne
1
2020
Bifurcation theory for vortices with application to boundary layer eruption. Zbl 1415.76175
Nielsen, Anne R.; Heil, Matthias; Andersen, Morten; Brøns, Morten
1
2019
Viscous fingering in a radial elastic-walled Hele-Shaw cell. Zbl 1415.76203
Pihler-Puzović, Draga; Peng, Gunnar G.; Lister, John R.; Heil, Matthias; Juel, Anne
5
2018
Instabilities in blistering. Zbl 1384.76019
Juel, Anne; Pihler-Puzović, Draga; Heil, Matthias
3
2018
Viscous drops on a layer of the same fluid: from sinking, wedging and spreading to their long-time evolution. Zbl 1430.76043
Bergemann, Nico; Juel, Anne; Heil, Matthias
1
2018
Topological fluid mechanics of the formation of the Kármán-vortex street. Zbl 1383.76106
Heil, Matthias; Rosso, Jordan; Hazel, Andrew L.; Brøns, Morten
5
2017
Displacement flows under elastic membranes. I: Experiments and direct numerical simulations. Zbl 1382.76069
Pihler-Puzović, Draga; Juel, Anne; Peng, Gunnar G.; Lister, John R.; Heil, Matthias
12
2015
Displacement flows under elastic membranes. II: Analysis of interfacial effects. Zbl 1382.76068
Peng, Gunnar G.; Pihler-Puzović, Draga; Juel, Anne; Heil, Matthias; Lister, John R.
11
2015
A parameter-free perfectly matched layer formulation for the finite-element-based solution of the Helmholtz equation. Zbl 1352.65484
Cimpeanu, Radu; Martinsson, Anton; Heil, Matthias
1
2015
The interaction between viscous fingering and wrinkling in elastic-walled Hele-Shaw cells. Zbl 1321.76022
Pihler-Puzović, D.; Juel, A.; Heil, M.
9
2014
Modelling the suppression of viscous fingering in elastic-walled Hele-Shaw cells. Zbl 1294.76098
Pihler-Puzović, Draga; Périllat, Raphaël; Russell, Matthew; Juel, Anne; Heil, Matthias
16
2013
An efficient preconditioner for monolithically-coupled large-displacement fluid-structure interaction problems with pseudo-solid mesh updates. Zbl 1284.65049
Muddle, Richard L.; Mihajlović, Milan; Heil, Matthias
8
2012
On the liquid lining in fluid-conveying curved tubes. Zbl 1250.76193
Hazel, Andrew L.; Heil, Matthias; Waters, Sarah L.; Oliver, James M.
4
2012
Fluid-structure interaction in internal physiological flows. Zbl 1299.76319
Heil, Matthias; Hazel, Andrew L.
26
2011
The energetics of flow through a rapidly oscillating tube with slowly varying amplitude. Zbl 1228.76061
Whittaker, Robert J.; Heil, Matthias; Waters, Sarah L.
2
2011
The energetics of flow through a rapidly oscillating tube. I: General theory. Zbl 1189.76133
Whittaker, Robert J.; Waters, Sarah L.; Jensen, Oliver E.; Boyle, Jonathan; Heil, Matthias
10
2010
The energetics of flow through a rapidly oscillating tube. II: Application to an elliptical tube. Zbl 1189.76132
Whittaker, Robert J.; Heil, Matthias; Boyle, Jonathan; Jensen, Oliver E.; Waters, Sarah L.
9
2010
Sloshing and slamming oscillations in a collapsible channel flow. Zbl 1205.76077
Stewart, Peter S.; Heil, Matthias; Waters, Sarah L.; Jensen, Oliver E.
8
2010
A rational derivation of a tube law from shell theory. Zbl 1256.74017
Whittaker, Robert J.; Heil, Matthias; Jensen, Oliver E.; Waters, Sarah L.
7
2010
Predicting the onset of high-frequency self-excited oscillations in elastic-walled tubes. Zbl 1211.74119
Whittaker, Robert J.; Heil, Matthias; Jensen, Oliver E.; Waters, Sarah L.
7
2010
Self-excited oscillations in three-dimensional collapsible tubes: simulating their onset and large-amplitude oscillations. Zbl 1193.74034
Heil, Matthias; Boyle, Jonathan
7
2010
Solvers for large-displacement fluid-structure interaction problems: Segregated versus monolithic approaches. Zbl 1309.76126
Heil, Matthias; Hazel, Andrew L.; Boyle, Jonathan
53
2008
How rapidly oscillating collapsible tubes extract energy from a viscous mean flow. Zbl 1151.76418
Heil, Matthias; Waters, Sarah L.
8
2008
The influence of gravity on the steady propagation of a semi-infinite bubble into a flexible channel. Zbl 1182.76309
Hazel, Andrew L.; Heil, Matthias
3
2008
oomph-lib – an object-oriented multi-physics finite-element library. Zbl 1323.74085
Heil, Matthias; Hazel, Andrew L.
31
2006
Transverse flows in rapidly oscillating elastic cylindrical shells. Zbl 1082.74015
Heil, Matthias; Waters, Sarah L.
8
2006
The propagation of low-viscosity fingers into fluid-filled branching networks. Zbl 1097.76021
Baroud, Charles N.; Tsikata, Sedina; Heil, Matthias
3
2006
Three-dimensional instabilities of liquid-lined elastic tubes: A thin-film fluid-structure interaction model. Zbl 1187.76562
White, Joseph P.; Heil, Matthias
6
2005
Surface-tension-induced buckling of liquid-lined elastic tubes: a model for pulmonary airway closure. Zbl 1139.74413
Hazel, Andrew L.; Heil, Matthias
5
2005
An efficient solver for the fully coupled solution of large-displacement fluid-structure interaction problems. Zbl 1137.74439
Heil, Matthias
101
2004
Computing Riemann theta functions. Zbl 1092.33018
Deconinck, Bernard; Heil, Matthias; Bobenko, Alexander; van Hoeij, Mark; Schmies, Marcus
24
2004
High-frequency self-excited oscillations in a collapsible-channel flow. Zbl 1049.76015
Jensen, Oliver E.; Heil, Matthias
25
2003
Three-dimensional airway reopening: the steady propagation of a semi-infinite bubble into a buckled elastic tube. Zbl 1037.76059
Hazel, Andrew L.; Heil, Matthias
17
2003
Steady finite-Reynolds-number flows in three-dimensional collapsible tubes. Zbl 1070.76011
Hazel, Andrew L.; Heil, Matthias
13
2003
Flows in deformable tubes and channels. Theoretical models and biological applications. Zbl 1077.76075
Heil, Matthias; Jensen, Oliver R.
7
2003
The steady propagation of a semi-infinite bubble into a tube of elliptical or rectangular cross-section. Zbl 1163.76355
Hazel, Andrew L.; Heil, Matthias
10
2002
Airway closure: Surface-tension-driven non-axisymmetric instabilities of liquid-lined elastic rings. Zbl 1156.74320
Heil, Matthias; White, Joseph P.
7
2002
Finite Reynolds number effects in the bretherton problem. Zbl 1184.76214
Heil, Matthias
11
2001
Finite Reynolds number effects in the propagation of an air finger into a liquid-filled flexible-walled channel. Zbl 0997.76086
Heil, Matthias
9
2000
Minimal liquid bridges in non-axisymmetrically buckled elastic tubes. Zbl 0959.74018
Heil, Matthias
9
1999
Stokes flow in an elastic tube – a large-displacement fluid-structure interaction problem. Zbl 0916.73054
Heil, Matthias
20
1998
Stokes flow in collapsible tubes: Computation and experiment. Zbl 0922.76113
Heil, Matthias
13
1997
Numerical tools for the study of finite gap solutions of integrable systems. Zbl 0858.58044
Heil, Matthias
1
1995
all top 5

Cited by 668 Authors

27 Heil, Matthias
16 Hazel, Andrew L.
12 Juel, Anne
11 Tezduyar, Tayfun E.
10 Grotberg, James B.
10 Jensen, Oliver E.
10 Waters, Sarah Louise
9 Wall, Wolfgang A.
8 Degroote, Joris
7 Gat, Amir D.
7 Pihler-Puzović, Draga
7 Takizawa, Kenji
7 Vierendeels, Jan
6 Fernández, Miguel Ángel
6 Fujioka, Hideki
6 Klein, Christian
6 Quarteroni, Alfio M.
6 Vergara, Christian
5 Boyle, Jonathan W.
5 de Borst, René
5 Dettmer, Wulf G.
5 Frauendiener, Jörg
5 Gaver, Donald Paul III
5 Küttler, Ulrich
5 Pedley, Timothy J.
5 Perić, Djordje
5 Stewart, Peter S.
5 Van Brummelen, Harald
4 Bogatyrev, Andrei Borisovich
4 Bruggeman, Peter
4 Bukač, Martina
4 Deconinck, Bernard
4 Deparis, Simone
4 Halpern, David
4 Hewitt, Richard E.
4 Kostov, Nikolay A.
4 Lister, John R.
4 Liu, Gui-Rong
4 Michler, Christian
4 Nobile, Fabio
4 Peng, Gunnar G.
4 Sathe, Sunil
4 Shikhmurzaev, Yulii Damir
4 Sprittles, James E.
4 Stone, Howard Alvin
4 Vidrascu, Marina
4 Whittaker, Robert James
4 Yoshimura, Shinobu
3 Brøns, Morten
3 Čanić, Sunčica
3 Grigor’ev, O. A.
3 Guo, Yakun
3 Henicke, Bradley
3 Hron, Jaroslav
3 Jaiman, Rajeev Kumar
3 Mihajlović, Milan D.
3 Minami, Satsuki
3 Mullaert, Jimmy
3 Nordsletten, David A.
3 Puntel, Anthony
3 Putkaradze, Vakhtang
3 Quaini, Annalisa
3 Stein, Keith
3 Tai, Cheng-Feng
3 Thompson, Alice B.
3 Yang, Huidong
3 Zhang, Lixiang
3 Zhang, Zhiqian
2 Andersen, Morten
2 Badia, Santiago
2 Baek, Seungik
2 Balmforth, Neil J.
2 Banks, Jeffrey W.
2 Bazilevs, Yuri
2 Bercovici, Moran
2 Bergemann, Nico
2 Bertram, Christopher D.
2 Billingham, John
2 Bletzinger, Kai-Uwe
2 Bogaers, A. E. J.
2 Bozkurt, Deniz
2 Cai, Xiao-Chuan
2 Casoni, E.
2 Chesnokov, Alexander A.
2 Chini, Gregory P.
2 Chung, Jacob N.
2 Deliceoğlu, Ali
2 Dinkler, Dieter
2 Elbaz, Shai B.
2 Figueroa, C. Alberto
2 Förster, Christiane
2 Forti, Davide
2 Gao, Guangjun
2 Gay-Balmaz, François
2 Gurugubelli, Pardha S.
2 Heap, Alexandra
2 Henshaw, William D.
2 Houzeaux, Guillaume
2 Hughes, Thomas J. R.
2 Hulshoff, Steven J.
...and 568 more Authors
all top 5

Cited in 80 Serials

75 Journal of Fluid Mechanics
40 Computer Methods in Applied Mechanics and Engineering
23 Journal of Computational Physics
19 Physics of Fluids
18 Computers and Fluids
16 Computational Mechanics
10 International Journal for Numerical Methods in Engineering
8 International Journal for Numerical Methods in Fluids
5 Journal of Engineering Mathematics
5 Archives of Computational Methods in Engineering
4 Mathematics of Computation
4 Applied Mathematics and Computation
4 Journal of Computational and Applied Mathematics
4 Journal of Scientific Computing
4 Proceedings of the Steklov Institute of Mathematics
4 International Journal for Numerical Methods in Biomedical Engineering
3 Physica D
3 Communications in Numerical Methods in Engineering
3 Engineering Analysis with Boundary Elements
3 Computational Methods and Function Theory
2 Archive for Rational Mechanics and Analysis
2 Letters in Mathematical Physics
2 Theoretical and Computational Fluid Dynamics
2 SIAM Journal on Numerical Analysis
2 Applied Mathematics and Mechanics. (English Edition)
2 Chinese Annals of Mathematics. Series B
2 Applied Numerical Mathematics
2 European Journal of Applied Mathematics
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Applied Mathematical Modelling
2 SIAM Journal on Scientific Computing
2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Modern Physics Letters B
1 International Journal of Modern Physics B
1 Applicable Analysis
1 Computers & Mathematics with Applications
1 Journal of Mathematical Biology
1 Mathematical Biosciences
1 Nonlinearity
1 Physica A
1 Physics Letters. A
1 Russian Mathematical Surveys
1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
1 Journal of Geometry and Physics
1 Acta Arithmetica
1 Czechoslovak Mathematical Journal
1 Journal of Approximation Theory
1 Mathematics and Computers in Simulation
1 Meccanica
1 Journal of Non-Equilibrium Thermodynamics
1 Journal of Non-Newtonian Fluid Mechanics
1 Proceedings of the National Academy of Sciences of the United States of America
1 SIAM Journal on Applied Mathematics
1 Journal of Nonlinear Science
1 Experimental Mathematics
1 International Journal of Computational Fluid Dynamics
1 Abstract and Applied Analysis
1 Journal of Applied Mechanics and Technical Physics
1 European Journal of Mechanics. A. Solids
1 European Journal of Mechanics. B. Fluids
1 LMS Journal of Computation and Mathematics
1 The ANZIAM Journal
1 Nonlinear Analysis. Real World Applications
1 Discrete and Continuous Dynamical Systems. Series B
1 Journal of Applied Mathematics
1 Sādhanā
1 Journal of Numerical Mathematics
1 Milan Journal of Mathematics
1 Structural and Multidisciplinary Optimization
1 International Journal of Computational Methods
1 Acta Numerica
1 International Journal for Computational Methods in Engineering Science and Mechanics
1 International Journal of Differential Equations
1 S\(\vec{\text{e}}\)MA Journal
1 Journal of Applied Analysis and Computation
1 Evolution Equations and Control Theory
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 SIAM Journal on Applied Algebra and Geometry

Citations by Year