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Rank, Ernst

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Author ID: rank.ernst Recent zbMATH articles by "Rank, Ernst"
Published as: Rank, E.; Rank, Ernst
Documents Indexed: 96 Publications since 1982, including 2 Books
all top 5

Co-Authors

4 single-authored
38 Düster, Alexander
26 Kollmannsberger, Stefan
10 Zander, Nils
8 Krafczyk, Manfred
8 Schillinger, Dominik
6 Nübel, Vera
6 Ruess, Martin
6 Yosibash, Zohar
5 Bog, Tino
5 Özcan, Ali I.
5 Tölke, Jonas
4 Diebels, Stefan
4 Elhaddad, Mohamed
4 Franke, David W.
4 Krause, Roland
4 Kudela, László
4 Parvizian, Jamshid
4 Reali, Alessandro
4 Schulz, Manuel
4 Sehlhorst, Hans-Georg
4 Steeb, Holger
4 Werner, Heinrich
3 Hartmann, Stefan
3 Heisserer, Ulrich
3 Jänicke, Ralf
3 Scholz, Dominik
3 van Treeck, Christoph
2 Babuška, Ivo
2 Bazilevs, Yuri
2 Breuer, Michael
2 Bröker, Henrike
2 Carraturo, Massimo
2 D’Angella, Davide
2 Durst, Franz
2 Glück, Markus
2 Halfmann, Ansgar
2 Mundani, Ralf-Peter
2 Niggl, A.
2 Preusch, Karin
2 Sorger, Christian
2 Wassermann, Benjamin
1 Abedian, Alireza
1 Almac, Umut
1 Ambati, Marreddy
1 Atanasov, Atanas
1 Auricchio, Ferdinando
1 Baiges, Joan
1 Bergmann, Daniela
1 Bier, Wolfgang
1 Borden, Michael J.
1 Bruhns, Otto Timme
1 Bungartz, Hans-Joachim
1 Cai, Qionghui
1 Coradello, Luca
1 Dauge, Monique
1 de Lorenzis, Laura
1 Dede, Luca
1 Demkowicz, Leszek F.
1 Di Stolfo, Paolo
1 Ebinger, Tobias
1 Evans, John A.
1 Frisch, Jérôme
1 Frischmann, Felix
1 Geller, Sebastian
1 Holzer, Stefan M.
1 Horger, Thomas
1 Hubrich, Simeon
1 Huerta, Antonio
1 Hug, L.
1 Hughes, Thomas J. R.
1 Jacobs, Werner
1 Jomo, J.
1 Jomo, John N.
1 Kaiser, Uwe
1 Katz, Casimir
1 Khademyzadeh, Hassan
1 Kiendl, Josef
1 Klein, Wolfram
1 Mehl, Miriam
1 Mücke, Roland
1 Muthler, Alexander
1 Nachtwey, Björn
1 Nagaraja, Shishir
1 Paffrath, Meinhard
1 Paolini, Alexander
1 Pfaffinger, Michael
1 Rücker, Martin
1 Sala-Lardies, Esther
1 Scheck, Leonhard
1 Schroder, Andreas
1 Schweingruber, Manfred
1 Scott, Michael A.
1 Seidl, Robert
1 Shadavakhsh, A.
1 Sommer, Markus
1 Steger, Karl
1 Steinmann, Paul
1 Szanto, Mordechai
1 Tölke, J.
1 Varduhn, Vasco
...and 9 more Co-Authors

Publications by Year

Citations contained in zbMATH Open

81 Publications have been cited 1,718 times in 730 Documents Cited by Year
An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces. Zbl 1348.65055
Schillinger, Dominik; Dedè, Luca; Scott, Michael A.; Evans, John A.; Borden, Michael J.; Rank, Ernst; Hughes, Thomas J. R.
182
2012
Finite cell method. \(h\)- and \(p\)-extension for embedded domain problems in solid mechanics. Zbl 1162.74506
Parvizian, Jamshid; Düster, Alexander; Rank, Ernst
143
2007
The finite cell method for three-dimensional problems of solid mechanics. Zbl 1194.74517
Düster, A.; Parvizian, J.; Yang, Z.; Rank, E.
121
2008
Weak coupling for isogeometric analysis of non-matching and trimmed multi-patch geometries. Zbl 1296.74013
Ruess, Martin; Schillinger, Dominik; Özcan, Ali I.; Rank, Ernst
83
2014
Weakly enforced essential boundary conditions for NURBS-embedded and trimmed NURBS geometries on the basis of the finite cell method. Zbl 1352.65643
Ruess, M.; Schillinger, D.; Bazilevs, Y.; Varduhn, V.; Rank, E.
69
2013
Small and large deformation analysis with the \(p\)- and B-spline versions of the finite cell method. Zbl 1398.74401
Schillinger, Dominik; Ruess, Martin; Zander, Nils; Bazilevs, Yuri; Düster, Alexander; Rank, Ernst
69
2012
Geometric modeling, isogeometric analysis and the finite cell method. Zbl 1348.74340
Rank, E.; Ruess, M.; Kollmannsberger, S.; Schillinger, D.; Düster, A.
67
2012
The \(p\)-version of the finite element method for three-dimensional curved thin walled structures. Zbl 1058.74079
Düster, A.; Bröker, H.; Rank, E.
57
2001
An unfitted hp-adaptive finite element method based on hierarchical B-splines for interface problems of complex geometry. Zbl 1230.74197
Schillinger, Dominik; Rank, Ernst
54
2011
The \(hp\)-\(d\)-adaptive finite cell method for geometrically nonlinear problems of solid mechanics. Zbl 1242.74161
Schillinger, Dominik; Düster, Alexander; Rank, Ernst
47
2012
Performance of different integration schemes in facing discontinuities in the finite cell method. Zbl 1359.65245
Abedian, Alireza; Parvizian, Jamshid; Düster, Alexander; Khademyzadeh, Hassan; Rank, Ernst
38
2013
\(p\)-FEM applied to finite isotropic hyperelastic bodies. Zbl 1053.74043
Düster, Alexander; Hartmann, Stefan; Rank, Ernst
34
2003
Adaptive h-, p- and hp-versions for boundary integral element methods. Zbl 0705.73260
Rank, Ernst
32
1989
High-order finite elements for shells. Zbl 1082.74056
Rank, E.; Düster, A.; Nübel, V.; Preusch, K.; Bruhns, O. T.
28
2005
The finite cell method for linear thermoelasticity. Zbl 1268.74020
Zander, N.; Kollmannsberger, S.; Ruess, M.; Yosibash, Z.; Rank, E.
27
2012
Topology optimization using the finite cell method. Zbl 1293.74357
Parvizian, J.; Düster, A.; Rank, E.
26
2012
On the accuracy of \(p\)-version elements for the Reissner-Mindlin plate problem. Zbl 0937.74069
Rank, Ernst; Krause, Roland; Preusch, Karin
26
1998
Multi-level \(hp\)-adaptivity: high-order mesh adaptivity without the difficulties of constraining hanging nodes. Zbl 1311.74133
Zander, Nils; Bog, Tino; Kollmannsberger, Stefan; Schillinger, Dominik; Rank, Ernst
25
2015
A comparison of the \(h\)-, \(p\)-, \(hp\)-, and \(rp\)-version of the FEM for the solution of the 2D Hertzian contact problem. Zbl 1398.74330
Franke, David; Düster, A.; Nübel, V.; Rank, E.
25
2010
The \(p\)-version of the finite element method compared to an adaptive \(h\)-version for the deformation theory of plasticity. Zbl 1114.74486
Düster, A.; Rank, E.
25
2001
A simple error estimator in the finite element method. Zbl 0623.65120
Rank, E.; Zienkiewicz, O. C.
23
1987
Numerical homogenization of heterogeneous and cellular materials utilizing the finite cell method. Zbl 1386.74117
Düster, Alexander; Sehlhorst, Hans-Georg; Rank, Ernst
22
2012
Shell finite cell method: a high order fictitious domain approach for thin-walled structures. Zbl 1230.74232
Rank, E.; Kollmannsberger, S.; Sorger, Ch.; Düster, A.
22
2011
Lattice Boltzmann simulations of binary fluid flow through porous media. Zbl 1037.76047
Tölke, Jonas; Krafczyk, Manfred; Schulz, Manuel; Rank, Ernst
22
2002
Adaptive remeshing and \(h-p\) domain decomposition. Zbl 0782.65145
Rank, Ernst
21
1992
Parameter-free, weak imposition of Dirichlet boundary conditions and coupling of trimmed and non-conforming patches. Zbl 1352.65520
Kollmannsberger, S.; Özcan, A.; Baiges, J.; Ruess, M.; Rank, E.; Reali, A.
20
2015
Theoretical and numerical investigation of the finite cell method. Zbl 1331.65160
Dauge, Monique; Düster, Alexander; Rank, Ernst
20
2015
Applying the \(hp-d\) version of the FEM to locally enhance dimensionally reduced models. Zbl 1173.74413
Düster, A.; Niggl, A.; Rank, E.
20
2007
High-order finite elements applied to the discrete Boltzmann equation. Zbl 1113.76049
Düster, Alexander; Demkowicz, Leszek; Rank, Ernst
20
2006
On the importance of the discrete maximum principle in transient analysis using finite element methods. Zbl 0526.65080
Rank, Ernst; Katz, Casimir; Werner, Heinrich
20
1983
Fixed-grid fluid-structure interaction in two dimensions based on a partitioned lattice Boltzmann and \(p\)-FEM approach. Zbl 1171.74340
Kollmannsberger, Stefan; Geller, Sebastian; Düster, Alexander; Tölke, J.; Sorger, Christian; Krafczyk, Manfred; Rank, Ernst
19
2009
Axisymmetric pressure boundary loading for finite deformation analysis using p-FEM. Zbl 1173.74451
Yosibash, Zohar; Hartmann, Stefan; Heisserer, Ulrich; Düster, Alexander; Rank, Ernst; Szanto, Mordechai
19
2007
A \(p\)-version finite element approach for two- and three-dimensional problems for the \(J_2\) flow theory with nonlinear isotropic hardening. Zbl 1112.74509
Düster, A.; Rank, E.
17
2002
A multigrid-solver for the discrete Boltzmann equation. Zbl 1007.82004
Tölke, Jonas; Krafczyk, Manfred; Rank, Ernst
16
2002
Adaptive mesh generation and transformation of triangular to quadrilateral meshes. Zbl 0782.65141
Rank, Ernst; Schweingruber, Manfred; Sommer, Markus
16
1993
An expert system for the optimal mesh design in the hp-version of the finite element method. Zbl 0621.73099
Rank, Ernst; Babuška, Ivo
16
1987
An implementation of the hp-version of the finite element method for Reissner-Mindlin plate problems. Zbl 0729.73226
Holzer, Stefan; Rank, Ernst; Werner, Heinrich
15
1990
A multiscale finite-element method. Zbl 0918.73222
Rank, E.; Krause, R.
13
1997
\(p\)-FEM for finite deformation powder compaction. Zbl 1169.74608
Heisserer, Ulrich; Hartmann, Stefan; Düster, Alexander; Bier, Wolfgang; Yosibash, Zohar; Rank, Ernst
12
2008
\(pq\)-adaptive solid finite elements for three-dimensional plates and shells. Zbl 1169.74598
Düster, A.; Scholz, D.; Rank, E.
12
2007
An \(rp\)-adaptive finite element method for the deformation theory of plasticity. Zbl 1163.74046
Nübel, Vera; Düster, Alexander; Rank, Ernst
11
2007
Multiscale computations with a combination of the \(h\)- and \(p\)-versions of the finite element method. Zbl 1037.74047
Krause, Roland; Rank, Ernst
10
2003
Numerical integration of discontinuous functions: moment fitting and smart octree. Zbl 1387.65025
Hubrich, Simeon; Di Stolfo, Paolo; Kudela, László; Kollmannsberger, Stefan; Rank, Ernst; Schröder, Andreas; Düster, Alexander
9
2017
Numerical investigations of foam-like materials by nested high-order finite element methods. Zbl 1398.74402
Sehlhorst, H.-G.; Jänicke, R.; Düster, A.; Rank, E.; Steeb, H.; Diebels, S.
9
2009
An expert-system-like feedback approach to the hp-version of the finite element method. Zbl 0644.73063
Babuška, Ivo; Rank, Ernst
9
1987
Phase-field modeling of brittle fracture with multi-level hp-FEM and the finite cell method. Zbl 07053722
Nagaraja, S.; Elhaddad, M.; Ambati, M.; Kollmannsberger, S.; De Lorenzis, L.; Rank, E.
8
2019
From geometric design to numerical analysis: a direct approach using the finite cell method on constructive solid geometry. Zbl 1410.65460
Wassermann, Benjamin; Kollmannsberger, Stefan; Bog, Tino; Rank, Ernst
8
2017
Smart octrees: accurately integrating discontinuous functions in 3D. Zbl 1436.65022
Kudela, László; Zander, Nils; Kollmannsberger, Stefan; Rank, Ernst
8
2016
Thin solids for fluid-structure interaction. Zbl 1323.74094
Scholz, Dominik; Kollmannsberger, Stefan; Düster, Alexander; Rank, Ernst
8
2006
Extension of a hybrid thermal LBE scheme for large-eddy simulations of turbulent convective flows. Zbl 1177.76338
van Treeck, Christoph; Rank, Ernst; Krafczyk, Manfred; Tölke, Jonas; Nachtwey, Björn
8
2006
\(hp\)-version finite elements for geometrically nonlinear problems. Zbl 0835.73075
Krause, Roland; Mücke, Roland; Rank, Ernst
8
1995
A hierarchical computational model for moving thermal loads and phase changes with applications to selective laser melting. Zbl 1409.80001
Kollmannsberger, Stefan; Özcan, A.; Carraturo, Massimo; Zander, N.; Rank, E.
7
2018
A numerical investigation of high-order finite elements for problems of elastoplasticity. Zbl 1011.74064
Düster, A.; Niggl, A.; Nübel, V.; Rank, E.
7
2002
Adaptivity and accuracy estimation for FEM and BIEM. Zbl 0812.73059
Rank, E.
6
1993
Finite cell method: high-order structural dynamics for complex geometries. Zbl 1359.74401
Elhaddad, M.; Zander, N.; Kollmannsberger, S.; Shadavakhsh, A.; Nübel, V.; Rank, E.
5
2015
The efficiency of the \(p\)-version finite element method in a distributed computing environment. Zbl 1128.74336
Rank, Ernst; Rücker, Martin; Düster, Alexander; Bröker, Henrike
5
2001
Multi-level Bézier extraction for hierarchical local refinement of isogeometric analysis. Zbl 1439.65155
D’Angella, Davide; Kollmannsberger, Stefan; Rank, Ernst; Reali, Alessandro
4
2018
A fast algorithm for point-location in a finite element mesh. Zbl 0854.68027
Krause, R.; Rank, E.
4
1996
An adaptive finite element approach for the free surface seepage problem. Zbl 0594.76089
Rank, Ernst; Werner, Heinrich
4
1986
Iterative time reversal based flaw identification. Zbl 1359.65183
Seidl, Robert; Rank, Ernst
3
2016
Computational contact mechanics based on the \(rp\)-version of the finite element method. Zbl 1245.74046
Franke, David; Rank, Ernst; Düster, Alexander
3
2011
The \(p\)-version of the FEM for computational contact mechanics. Zbl 1393.74127
Franke, David; Düster, Alexander; Rank, Ernst
3
2008
High-order thin-walled solid finite elements applied to elastic spring-back computations. Zbl 1120.74052
Muthler, Alexander; Düster, Alexander; Volk, Wolfram; Wagner, Marcus; Rank, Ernst
3
2006
Discretization of the Boltzmann equation in velocity space using a Galerkin approach. Zbl 0976.76062
Tölke, Jonas; Krafczyk, Manfred; Schulz, Manuel; Rank, Ernst
3
2000
A zooming-technique using a hierarchical \(hp\)-version of the finite element method. Zbl 0828.65126
Rank, Ernst
3
1994
Weak imposition of frictionless contact constraints on automatically recovered high-order, embedded interfaces using the finite cell method. Zbl 1453.74066
Bog, Tino; Zander, Nils; Kollmannsberger, Stefan; Rank, Ernst
2
2018
Parallelization of the multi-level \(hp\)-adaptive finite cell method. Zbl 1375.65151
Jomo, John N.; Zander, Nils; Elhaddad, Mohamed; Özcan, Ali; Kollmannsberger, Stefan; Mundani, Ralf-Peter; Rank, Ernst
2
2017
A parallelized lattice-gas solver for transient Navier-Stokes-flow: Implementation and simulation results. Zbl 0822.76072
Krafczyk, M.; Rank, E.
2
1995
Hierarchically refined isogeometric analysis of trimmed shells. Zbl 07262499
Coradello, Luca; D’Angella, Davide; Carraturo, Massimo; Kiendl, Josef; Kollmannsberger, Stefan; Rank, Ernst; Reali, Alessandro
1
2020
A 3D benchmark problem for crack propagation in brittle fracture. Zbl 1442.74205
Hug, L.; Kollmannsberger, S.; Yosibash, Z.; Rank, E.
1
2020
Editorial: Simulation for additive manufacturing. Zbl 07260060
Kollmannsberger, Stefan (ed.); Rank, Ernst (ed.); Auricchio, Ferdinando (ed.); Steinmann, Paul (ed.)
1
2019
Integrating CAD and numerical analysis: ‘dirty geometry’ handling using the finite cell method. Zbl 1441.65024
Wassermann, Benjamin; Kollmannsberger, Stefan; Yin, Shuohui; Kudela, László; Rank, Ernst
1
2019
The multi-level \(hp\)-method for three-dimensional problems: dynamically changing high-order mesh refinement with arbitrary hanging nodes. Zbl 1439.65201
Zander, Nils; Bog, Tino; Elhaddad, Mohamed; Frischmann, Felix; Kollmannsberger, Stefan; Rank, Ernst
1
2016
On the natural stabilization of convection dominated problems using high order Bubnov-Galerkin finite elements. Zbl 1368.65124
Cai, Q.; Kollmannsberger, S.; Sala-Lardies, E.; Huerta, A.; Rank, E.
1
2014
Computational steering of complex flow simulations. Zbl 1427.76182
Atanasov, Atanas; Bungartz, Hans-Joachim; Frisch, Jérôme; Mehl, Miriam; Mundani, Ralf-Peter; Rank, Ernst; van Treeck, Christoph
1
2010
Interactive indoor thermal comfort evaluation. Zbl 1156.80387
van Treeck, Christoph; Wenisch, Petra; Pfaffinger, Michael; Scheck, Leonhard; Rank, Ernst
1
2008
Follower loads for high order finite elements. Zbl 1391.74248
Heisserer, Ulrich; Düster, Alexander; Rank, Ernst
1
2005
Numerical prediction of deformations and oscillations of wind-exposed structures. Zbl 1201.74291
Glück, Markus; Breuer, Michael; Durst, Franz; Halfmann, Ansgar; Rank, Ernst
1
2003
Lattice-gas simulations of two-phase flow in porous media. Zbl 0931.76075
Krafczyk, Manfred; Schulz, Manuel; Rank, Ernst
1
1998
A posteriori error estimates for multi-scale problems. Zbl 0835.73081
Rank, E.; Krause, R.
1
1995
Concepts and algorithms in process simulation. Zbl 0783.65084
Paffrath, Meinhard; Jacobs, Werner; Klein, Wolfram; Rank, Ernst; Steger, Karl; Weinert, Ulrich; Wever, Utz
1
1993
Hierarchically refined isogeometric analysis of trimmed shells. Zbl 07262499
Coradello, Luca; D’Angella, Davide; Carraturo, Massimo; Kiendl, Josef; Kollmannsberger, Stefan; Rank, Ernst; Reali, Alessandro
1
2020
A 3D benchmark problem for crack propagation in brittle fracture. Zbl 1442.74205
Hug, L.; Kollmannsberger, S.; Yosibash, Z.; Rank, E.
1
2020
Phase-field modeling of brittle fracture with multi-level hp-FEM and the finite cell method. Zbl 07053722
Nagaraja, S.; Elhaddad, M.; Ambati, M.; Kollmannsberger, S.; De Lorenzis, L.; Rank, E.
8
2019
Editorial: Simulation for additive manufacturing. Zbl 07260060
Kollmannsberger, Stefan (ed.); Rank, Ernst (ed.); Auricchio, Ferdinando (ed.); Steinmann, Paul (ed.)
1
2019
Integrating CAD and numerical analysis: ‘dirty geometry’ handling using the finite cell method. Zbl 1441.65024
Wassermann, Benjamin; Kollmannsberger, Stefan; Yin, Shuohui; Kudela, László; Rank, Ernst
1
2019
A hierarchical computational model for moving thermal loads and phase changes with applications to selective laser melting. Zbl 1409.80001
Kollmannsberger, Stefan; Özcan, A.; Carraturo, Massimo; Zander, N.; Rank, E.
7
2018
Multi-level Bézier extraction for hierarchical local refinement of isogeometric analysis. Zbl 1439.65155
D’Angella, Davide; Kollmannsberger, Stefan; Rank, Ernst; Reali, Alessandro
4
2018
Weak imposition of frictionless contact constraints on automatically recovered high-order, embedded interfaces using the finite cell method. Zbl 1453.74066
Bog, Tino; Zander, Nils; Kollmannsberger, Stefan; Rank, Ernst
2
2018
Numerical integration of discontinuous functions: moment fitting and smart octree. Zbl 1387.65025
Hubrich, Simeon; Di Stolfo, Paolo; Kudela, László; Kollmannsberger, Stefan; Rank, Ernst; Schröder, Andreas; Düster, Alexander
9
2017
From geometric design to numerical analysis: a direct approach using the finite cell method on constructive solid geometry. Zbl 1410.65460
Wassermann, Benjamin; Kollmannsberger, Stefan; Bog, Tino; Rank, Ernst
8
2017
Parallelization of the multi-level \(hp\)-adaptive finite cell method. Zbl 1375.65151
Jomo, John N.; Zander, Nils; Elhaddad, Mohamed; Özcan, Ali; Kollmannsberger, Stefan; Mundani, Ralf-Peter; Rank, Ernst
2
2017
Smart octrees: accurately integrating discontinuous functions in 3D. Zbl 1436.65022
Kudela, László; Zander, Nils; Kollmannsberger, Stefan; Rank, Ernst
8
2016
Iterative time reversal based flaw identification. Zbl 1359.65183
Seidl, Robert; Rank, Ernst
3
2016
The multi-level \(hp\)-method for three-dimensional problems: dynamically changing high-order mesh refinement with arbitrary hanging nodes. Zbl 1439.65201
Zander, Nils; Bog, Tino; Elhaddad, Mohamed; Frischmann, Felix; Kollmannsberger, Stefan; Rank, Ernst
1
2016
Multi-level \(hp\)-adaptivity: high-order mesh adaptivity without the difficulties of constraining hanging nodes. Zbl 1311.74133
Zander, Nils; Bog, Tino; Kollmannsberger, Stefan; Schillinger, Dominik; Rank, Ernst
25
2015
Parameter-free, weak imposition of Dirichlet boundary conditions and coupling of trimmed and non-conforming patches. Zbl 1352.65520
Kollmannsberger, S.; Özcan, A.; Baiges, J.; Ruess, M.; Rank, E.; Reali, A.
20
2015
Theoretical and numerical investigation of the finite cell method. Zbl 1331.65160
Dauge, Monique; Düster, Alexander; Rank, Ernst
20
2015
Finite cell method: high-order structural dynamics for complex geometries. Zbl 1359.74401
Elhaddad, M.; Zander, N.; Kollmannsberger, S.; Shadavakhsh, A.; Nübel, V.; Rank, E.
5
2015
Weak coupling for isogeometric analysis of non-matching and trimmed multi-patch geometries. Zbl 1296.74013
Ruess, Martin; Schillinger, Dominik; Özcan, Ali I.; Rank, Ernst
83
2014
On the natural stabilization of convection dominated problems using high order Bubnov-Galerkin finite elements. Zbl 1368.65124
Cai, Q.; Kollmannsberger, S.; Sala-Lardies, E.; Huerta, A.; Rank, E.
1
2014
Weakly enforced essential boundary conditions for NURBS-embedded and trimmed NURBS geometries on the basis of the finite cell method. Zbl 1352.65643
Ruess, M.; Schillinger, D.; Bazilevs, Y.; Varduhn, V.; Rank, E.
69
2013
Performance of different integration schemes in facing discontinuities in the finite cell method. Zbl 1359.65245
Abedian, Alireza; Parvizian, Jamshid; Düster, Alexander; Khademyzadeh, Hassan; Rank, Ernst
38
2013
An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces. Zbl 1348.65055
Schillinger, Dominik; Dedè, Luca; Scott, Michael A.; Evans, John A.; Borden, Michael J.; Rank, Ernst; Hughes, Thomas J. R.
182
2012
Small and large deformation analysis with the \(p\)- and B-spline versions of the finite cell method. Zbl 1398.74401
Schillinger, Dominik; Ruess, Martin; Zander, Nils; Bazilevs, Yuri; Düster, Alexander; Rank, Ernst
69
2012
Geometric modeling, isogeometric analysis and the finite cell method. Zbl 1348.74340
Rank, E.; Ruess, M.; Kollmannsberger, S.; Schillinger, D.; Düster, A.
67
2012
The \(hp\)-\(d\)-adaptive finite cell method for geometrically nonlinear problems of solid mechanics. Zbl 1242.74161
Schillinger, Dominik; Düster, Alexander; Rank, Ernst
47
2012
The finite cell method for linear thermoelasticity. Zbl 1268.74020
Zander, N.; Kollmannsberger, S.; Ruess, M.; Yosibash, Z.; Rank, E.
27
2012
Topology optimization using the finite cell method. Zbl 1293.74357
Parvizian, J.; Düster, A.; Rank, E.
26
2012
Numerical homogenization of heterogeneous and cellular materials utilizing the finite cell method. Zbl 1386.74117
Düster, Alexander; Sehlhorst, Hans-Georg; Rank, Ernst
22
2012
An unfitted hp-adaptive finite element method based on hierarchical B-splines for interface problems of complex geometry. Zbl 1230.74197
Schillinger, Dominik; Rank, Ernst
54
2011
Shell finite cell method: a high order fictitious domain approach for thin-walled structures. Zbl 1230.74232
Rank, E.; Kollmannsberger, S.; Sorger, Ch.; Düster, A.
22
2011
Computational contact mechanics based on the \(rp\)-version of the finite element method. Zbl 1245.74046
Franke, David; Rank, Ernst; Düster, Alexander
3
2011
A comparison of the \(h\)-, \(p\)-, \(hp\)-, and \(rp\)-version of the FEM for the solution of the 2D Hertzian contact problem. Zbl 1398.74330
Franke, David; Düster, A.; Nübel, V.; Rank, E.
25
2010
Computational steering of complex flow simulations. Zbl 1427.76182
Atanasov, Atanas; Bungartz, Hans-Joachim; Frisch, Jérôme; Mehl, Miriam; Mundani, Ralf-Peter; Rank, Ernst; van Treeck, Christoph
1
2010
Fixed-grid fluid-structure interaction in two dimensions based on a partitioned lattice Boltzmann and \(p\)-FEM approach. Zbl 1171.74340
Kollmannsberger, Stefan; Geller, Sebastian; Düster, Alexander; Tölke, J.; Sorger, Christian; Krafczyk, Manfred; Rank, Ernst
19
2009
Numerical investigations of foam-like materials by nested high-order finite element methods. Zbl 1398.74402
Sehlhorst, H.-G.; Jänicke, R.; Düster, A.; Rank, E.; Steeb, H.; Diebels, S.
9
2009
The finite cell method for three-dimensional problems of solid mechanics. Zbl 1194.74517
Düster, A.; Parvizian, J.; Yang, Z.; Rank, E.
121
2008
\(p\)-FEM for finite deformation powder compaction. Zbl 1169.74608
Heisserer, Ulrich; Hartmann, Stefan; Düster, Alexander; Bier, Wolfgang; Yosibash, Zohar; Rank, Ernst
12
2008
The \(p\)-version of the FEM for computational contact mechanics. Zbl 1393.74127
Franke, David; Düster, Alexander; Rank, Ernst
3
2008
Interactive indoor thermal comfort evaluation. Zbl 1156.80387
van Treeck, Christoph; Wenisch, Petra; Pfaffinger, Michael; Scheck, Leonhard; Rank, Ernst
1
2008
Finite cell method. \(h\)- and \(p\)-extension for embedded domain problems in solid mechanics. Zbl 1162.74506
Parvizian, Jamshid; Düster, Alexander; Rank, Ernst
143
2007
Applying the \(hp-d\) version of the FEM to locally enhance dimensionally reduced models. Zbl 1173.74413
Düster, A.; Niggl, A.; Rank, E.
20
2007
Axisymmetric pressure boundary loading for finite deformation analysis using p-FEM. Zbl 1173.74451
Yosibash, Zohar; Hartmann, Stefan; Heisserer, Ulrich; Düster, Alexander; Rank, Ernst; Szanto, Mordechai
19
2007
\(pq\)-adaptive solid finite elements for three-dimensional plates and shells. Zbl 1169.74598
Düster, A.; Scholz, D.; Rank, E.
12
2007
An \(rp\)-adaptive finite element method for the deformation theory of plasticity. Zbl 1163.74046
Nübel, Vera; Düster, Alexander; Rank, Ernst
11
2007
High-order finite elements applied to the discrete Boltzmann equation. Zbl 1113.76049
Düster, Alexander; Demkowicz, Leszek; Rank, Ernst
20
2006
Thin solids for fluid-structure interaction. Zbl 1323.74094
Scholz, Dominik; Kollmannsberger, Stefan; Düster, Alexander; Rank, Ernst
8
2006
Extension of a hybrid thermal LBE scheme for large-eddy simulations of turbulent convective flows. Zbl 1177.76338
van Treeck, Christoph; Rank, Ernst; Krafczyk, Manfred; Tölke, Jonas; Nachtwey, Björn
8
2006
High-order thin-walled solid finite elements applied to elastic spring-back computations. Zbl 1120.74052
Muthler, Alexander; Düster, Alexander; Volk, Wolfram; Wagner, Marcus; Rank, Ernst
3
2006
High-order finite elements for shells. Zbl 1082.74056
Rank, E.; Düster, A.; Nübel, V.; Preusch, K.; Bruhns, O. T.
28
2005
Follower loads for high order finite elements. Zbl 1391.74248
Heisserer, Ulrich; Düster, Alexander; Rank, Ernst
1
2005
\(p\)-FEM applied to finite isotropic hyperelastic bodies. Zbl 1053.74043
Düster, Alexander; Hartmann, Stefan; Rank, Ernst
34
2003
Multiscale computations with a combination of the \(h\)- and \(p\)-versions of the finite element method. Zbl 1037.74047
Krause, Roland; Rank, Ernst
10
2003
Numerical prediction of deformations and oscillations of wind-exposed structures. Zbl 1201.74291
Glück, Markus; Breuer, Michael; Durst, Franz; Halfmann, Ansgar; Rank, Ernst
1
2003
Lattice Boltzmann simulations of binary fluid flow through porous media. Zbl 1037.76047
Tölke, Jonas; Krafczyk, Manfred; Schulz, Manuel; Rank, Ernst
22
2002
A \(p\)-version finite element approach for two- and three-dimensional problems for the \(J_2\) flow theory with nonlinear isotropic hardening. Zbl 1112.74509
Düster, A.; Rank, E.
17
2002
A multigrid-solver for the discrete Boltzmann equation. Zbl 1007.82004
Tölke, Jonas; Krafczyk, Manfred; Rank, Ernst
16
2002
A numerical investigation of high-order finite elements for problems of elastoplasticity. Zbl 1011.74064
Düster, A.; Niggl, A.; Nübel, V.; Rank, E.
7
2002
The \(p\)-version of the finite element method for three-dimensional curved thin walled structures. Zbl 1058.74079
Düster, A.; Bröker, H.; Rank, E.
57
2001
The \(p\)-version of the finite element method compared to an adaptive \(h\)-version for the deformation theory of plasticity. Zbl 1114.74486
Düster, A.; Rank, E.
25
2001
The efficiency of the \(p\)-version finite element method in a distributed computing environment. Zbl 1128.74336
Rank, Ernst; Rücker, Martin; Düster, Alexander; Bröker, Henrike
5
2001
Discretization of the Boltzmann equation in velocity space using a Galerkin approach. Zbl 0976.76062
Tölke, Jonas; Krafczyk, Manfred; Schulz, Manuel; Rank, Ernst
3
2000
On the accuracy of \(p\)-version elements for the Reissner-Mindlin plate problem. Zbl 0937.74069
Rank, Ernst; Krause, Roland; Preusch, Karin
26
1998
Lattice-gas simulations of two-phase flow in porous media. Zbl 0931.76075
Krafczyk, Manfred; Schulz, Manuel; Rank, Ernst
1
1998
A multiscale finite-element method. Zbl 0918.73222
Rank, E.; Krause, R.
13
1997
A fast algorithm for point-location in a finite element mesh. Zbl 0854.68027
Krause, R.; Rank, E.
4
1996
\(hp\)-version finite elements for geometrically nonlinear problems. Zbl 0835.73075
Krause, Roland; Mücke, Roland; Rank, Ernst
8
1995
A parallelized lattice-gas solver for transient Navier-Stokes-flow: Implementation and simulation results. Zbl 0822.76072
Krafczyk, M.; Rank, E.
2
1995
A posteriori error estimates for multi-scale problems. Zbl 0835.73081
Rank, E.; Krause, R.
1
1995
A zooming-technique using a hierarchical \(hp\)-version of the finite element method. Zbl 0828.65126
Rank, Ernst
3
1994
Adaptive mesh generation and transformation of triangular to quadrilateral meshes. Zbl 0782.65141
Rank, Ernst; Schweingruber, Manfred; Sommer, Markus
16
1993
Adaptivity and accuracy estimation for FEM and BIEM. Zbl 0812.73059
Rank, E.
6
1993
Concepts and algorithms in process simulation. Zbl 0783.65084
Paffrath, Meinhard; Jacobs, Werner; Klein, Wolfram; Rank, Ernst; Steger, Karl; Weinert, Ulrich; Wever, Utz
1
1993
Adaptive remeshing and \(h-p\) domain decomposition. Zbl 0782.65145
Rank, Ernst
21
1992
An implementation of the hp-version of the finite element method for Reissner-Mindlin plate problems. Zbl 0729.73226
Holzer, Stefan; Rank, Ernst; Werner, Heinrich
15
1990
Adaptive h-, p- and hp-versions for boundary integral element methods. Zbl 0705.73260
Rank, Ernst
32
1989
A simple error estimator in the finite element method. Zbl 0623.65120
Rank, E.; Zienkiewicz, O. C.
23
1987
An expert system for the optimal mesh design in the hp-version of the finite element method. Zbl 0621.73099
Rank, Ernst; Babuška, Ivo
16
1987
An expert-system-like feedback approach to the hp-version of the finite element method. Zbl 0644.73063
Babuška, Ivo; Rank, Ernst
9
1987
An adaptive finite element approach for the free surface seepage problem. Zbl 0594.76089
Rank, Ernst; Werner, Heinrich
4
1986
On the importance of the discrete maximum principle in transient analysis using finite element methods. Zbl 0526.65080
Rank, Ernst; Katz, Casimir; Werner, Heinrich
20
1983
all top 5

Cited by 1,325 Authors

51 Rank, Ernst
49 Düster, Alexander
32 Schillinger, Dominik
28 Hughes, Thomas J. R.
22 Kollmannsberger, Stefan
17 Hsu, Ming-Chen
16 Bazilevs, Yuri
14 Hartmann, Stefan
12 Ruess, Martin
12 Scott, Michael A.
12 Wriggers, Peter
11 Reali, Alessandro
10 Buffa, Annalisa
10 de Lorenzis, Laura
10 Duczek, Sascha
10 Jüttler, Bert
10 Yosibash, Zohar
9 Bletzinger, Kai-Uwe
9 Bouclier, Robin
9 Evans, John A.
9 Sauer, Roger A.
9 Wüchner, Roland
9 Zhang, Weihong
8 Temizer, Ilker
8 Vazquez, Rafael
8 Verhoosel, Clemens V.
8 Zander, Nils
7 Auricchio, Ferdinando
7 Bordas, Stéphane Pierre Alain
7 Giannelli, Carlotta
6 Benson, David J.
6 Deng, Jiansong
6 Gabbert, Ulrich
6 Jiang, Wen
6 Joulaian, Meysam
6 Kamensky, David
6 Kvamsdal, Trond
6 Landis, Chad M.
6 Larson, Mats G.
6 Nguyen-Thanh, Nhon
6 Passieux, Jean-Charles
6 Rabczuk, Timon
6 Radtke, Lars
6 Scovazzi, Guglielmo
6 Van Brummelen, Harald
6 Xu, Fei
5 Borden, Michael J.
5 Boroomand, Bijan
5 Cirak, Fehmi
5 Elguedj, Thomas
5 Gómez, Héctor J.
5 Guo, Yujie
5 Harari, Isaac
5 Kiendl, Josef
5 Konyukhov, Alexander
5 Krafczyk, Manfred
5 Li, Xin
5 Mackerle, Jaroslav
5 Mantzaflaris, Angelos
5 Özcan, Ali I.
5 Sangalli, Giancarlo
5 Schweizerhof, Karl
5 Song, Chongmin
5 Thomas, Derek C.
5 Wang, Chenglong
5 Zavarise, Giorgio
4 Antolin, Pablo
4 Apostolatos, Andreas
4 Beirão da Veiga, Lourenço
4 Bittencourt, Marco Lúcio
4 Bog, Tino
4 Cai, Shouyu
4 Erbts, Patrick
4 Flaherty, Joseph E.
4 Gravenkamp, Hauke
4 Hiemstra, René R.
4 Hu, Ping
4 Hubrich, Simeon
4 Idesman, Alexander V.
4 Kamiya, Norio
4 Kim, Tae-Yeon
4 Kudela, László
4 Legrain, Gregory
4 Massing, André
4 Mehl, Miriam
4 Neckel, Tobias
4 Netz, Torben
4 Parvizian, Jamshid
4 Szabó, Barna Aladar
4 Tin-Loi, Francis
4 Varduhn, Vasco
4 Zhuang, Xiaoying
4 Zimmermann, Christopher
3 Actis, Ricardo L.
3 Ashrafizaadeh, Mahmud
3 Babuška, Ivo
3 Badia, Santiago
3 Bischoff, Manfred
3 Bouabdallah, Samir
3 Bungartz, Hans-Joachim
...and 1,225 more Authors
all top 5

Cited in 75 Serials

288 Computer Methods in Applied Mechanics and Engineering
74 Computational Mechanics
52 Computers & Mathematics with Applications
49 International Journal for Numerical Methods in Engineering
35 Journal of Computational Physics
24 Computers and Fluids
19 Engineering Analysis with Boundary Elements
15 Journal of Computational and Applied Mathematics
11 Computer Aided Geometric Design
10 Applied Numerical Mathematics
10 Communications in Numerical Methods in Engineering
9 Applied Mathematical Modelling
7 Engineering Computations
7 Archives of Computational Methods in Engineering
6 Journal of Scientific Computing
6 SIAM Journal on Scientific Computing
5 Computational Geosciences
5 International Journal of Computational Methods
4 Acta Mechanica
3 Applied Mathematics and Computation
3 Mathematics and Mechanics of Solids
2 International Journal for Numerical and Analytical Methods in Geomechanics
2 International Journal for Numerical Methods in Fluids
2 Journal of Fluid Mechanics
2 Journal of the Mechanics and Physics of Solids
2 Physica A
2 Applied Mathematics and Mechanics. (English Edition)
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Archive of Applied Mechanics
2 International Journal of Numerical Methods for Heat & Fluid Flow
2 Computing and Visualization in Science
2 International Journal of Computational Fluid Dynamics
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 European Journal of Mechanics. A. Solids
2 Optimization and Engineering
2 Lobachevskii Journal of Mathematics
2 Foundations of Computational Mathematics
2 Journal of Numerical Mathematics
2 Communications in Mathematics and Statistics
1 Applicable Analysis
1 International Journal of Engineering Science
1 International Journal of Solids and Structures
1 Journal of Statistical Physics
1 Mathematical Methods in the Applied Sciences
1 Wave Motion
1 Mathematics of Computation
1 Mathematics and Computers in Simulation
1 Numerische Mathematik
1 SIAM Journal on Numerical Analysis
1 Journal of Complexity
1 Numerical Methods for Partial Differential Equations
1 Mathematical and Computer Modelling
1 Journal of Integral Equations and Applications
1 Engineering with Computers
1 Applications of Mathematics
1 Computational Mathematics and Mathematical Physics
1 SIAM Journal on Applied Mathematics
1 Physics of Fluids
1 Computational and Applied Mathematics
1 Discrete and Continuous Dynamical Systems
1 Mathematical Problems in Engineering
1 Nonlinear Dynamics
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 International Journal of Nonlinear Sciences and Numerical Simulation
1 International Journal of Modern Physics C
1 Journal of Systems Science and Complexity
1 Journal of Applied Mathematics
1 Journal of Applied Mathematics and Computing
1 Acta Numerica
1 Journal of Statistical Mechanics: Theory and Experiment
1 Inverse Problems in Science and Engineering
1 GAMM-Mitteilungen
1 Acta Mechanica Sinica
1 Advances in Mathematical Physics
1 Science China. Mathematics

Citations by Year