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GAMM-Mitteilungen

Offizielles Organ der Gesellschaft für Angewandte Mathematik und Mechanik

Short Title: GAMM-Mitt.
Publisher: Wiley (Wiley-VCH), Weinheim
ISSN: 0936-7195; 1522-2608/e
Online: https://onlinelibrary.wiley.com/loi/15222608
Predecessor: Mitteilungen der Gesellschaft für Angewandte Mathematik und Mechanik
Comments: Journal
Documents Indexed: 276 Publications (since 2005)
References Indexed: 251 Publications with 12,731 References.
all top 5

Authors

11 Steinmann, Paul
8 Menzel, Andreas M.
6 Benner, Peter
6 Kästner, Markus
6 Ricken, Tim
6 Svendsen, Bob
5 Bartel, Thorsten
5 Kiefer, Björn
5 Klawonn, Axel
5 Muller, Ralf
5 Schröder, Jörg
5 Weinberg, Kerstin
4 Graf, Wolfgang
4 Güttel, Stefan
4 Kaliske, Michael
4 Keip, Marc-André
4 Kressner, Daniel
4 Miehe, Christian
4 Reese, Stefanie
4 Wall, Wolfgang A.
3 Bilgen, Carola
3 de Lorenzis, Laura
3 Diebels, Stefan
3 Grasedyck, Lars
3 Hartmann, Stefan
3 Henning, Carla
3 Herzog, Roland
3 Kutyniok, Gitta
3 Leugering, Günter
3 Liesen, Jörg
3 Mahnken, Rolf
3 Nackenhorst, Udo
3 Neff, Patrizio
3 Odenbach, Stefan
3 Stoll, Martin
3 Wachsmuth, Gerd
3 Wick, Thomas
2 Auricchio, Ferdinando
2 Avila, Marc
2 Balzani, Daniel
2 Bargmann, Swantje
2 Biehler, Jonas
2 Böl, Markus
2 Brumme, Stephan
2 Christof, Constantin
2 Drieschner, Martin
2 Eberhard, Peter
2 Edler, Philipp
2 Ehre, Max
2 Ehret, Alexander E.
2 Eigel, Martin
2 Eschenauer, Hans A.
2 Freitag, Steffen
2 Fuchs, Sebastian L.
2 Gaul, Lothar
2 Gerbeth, Gunter
2 Gross, Dietmar
2 Gruhlke, Robert
2 Grüne, Lars
2 Gude, Maik
2 Hackl, Klaus
2 Hanss, Michael
2 Hennig, Paul
2 Hinze, Michael
2 Hömberg, Dietmar
2 Hoppe, Ulrich
2 Hutter, Kolumban
2 Itskov, Mikhail
2 Klusemann, Benjamin
2 Knees, Dorothee
2 Koch, Ilja
2 Kollmannsberger, Stefan
2 Könke, Carsten
2 Kuhn, Charlotte
2 Lahmer, Tom
2 Larsson, Fredrik
2 Lupascu, Doru C.
2 Mäck, Markus
2 Markert, Bernd
2 Mergheim, Julia
2 Meschke, Günther
2 Meyer, Christian
2 Moser, Dieter
2 Nacke, Bernard
2 Nitzler, Jonas
2 Noll, Timo
2 Ostermeyer, Georg-Peter
2 Papaioannou, Iason
2 Picard, Rainer H.
2 Plonka, Gerlind
2 Rank, Ernst
2 Raßloff, Alexander
2 Reali, Alessandro
2 Runesson, Kenneth
2 Schmidt, Albrecht
2 Schrade, David
2 Schulz, Paul
2 Schumacher, Jörg
2 Seifried, Robert
2 Srisupattarawanit, Tarin
...and 508 more Authors
all top 5

Fields

142 Mechanics of deformable solids (74-XX)
70 Numerical analysis (65-XX)
48 Partial differential equations (35-XX)
36 Fluid mechanics (76-XX)
26 Calculus of variations and optimal control; optimization (49-XX)
25 General and overarching topics; collections (00-XX)
18 Operations research, mathematical programming (90-XX)
17 Computer science (68-XX)
17 Systems theory; control (93-XX)
16 Biology and other natural sciences (92-XX)
12 Linear and multilinear algebra; matrix theory (15-XX)
12 Statistics (62-XX)
11 Mechanics of particles and systems (70-XX)
9 Classical thermodynamics, heat transfer (80-XX)
8 Optics, electromagnetic theory (78-XX)
7 Dynamical systems and ergodic theory (37-XX)
7 Probability theory and stochastic processes (60-XX)
7 Statistical mechanics, structure of matter (82-XX)
7 Geophysics (86-XX)
7 Information and communication theory, circuits (94-XX)
6 History and biography (01-XX)
5 Ordinary differential equations (34-XX)
5 Quantum theory (81-XX)
3 Astronomy and astrophysics (85-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Mathematical logic and foundations (03-XX)
2 Combinatorics (05-XX)
2 Approximations and expansions (41-XX)
2 Functional analysis (46-XX)
2 Operator theory (47-XX)
2 Differential geometry (53-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Measure and integration (28-XX)
1 Potential theory (31-XX)
1 Special functions (33-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Convex and discrete geometry (52-XX)
1 Global analysis, analysis on manifolds (58-XX)

Publications by Year

Citations contained in zbMATH Open

148 Publications have been cited 1,242 times in 1,164 Documents Cited by Year
A literature survey of low-rank tensor approximation techniques. Zbl 1279.65045
Grasedyck, Lars; Kressner, Daniel; Tobler, Christine
192
2013
Nitsche’s method for interface problems in computational mechanics. Zbl 1179.65147
Hansbo, Peter
98
2005
Rational Krylov approximation of matrix functions: numerical methods and optimal pole selection. Zbl 1292.65043
Güttel, Stefan
85
2013
Numerical solution of large and sparse continuous time algebraic matrix Riccati and Lyapunov equations: a state of the art survey. Zbl 1279.65044
Benner, Peter; Saak, Jens
74
2013
Isogeometric contact: a review. Zbl 1308.74114
De Lorenzis, Laura; Wriggers, Peter; Hughes, Thomas J. R.
59
2014
Algorithms for PDE-constrained optimization. Zbl 1207.49034
Herzog, Roland; Kunisch, Karl
50
2010
Basics and some applications of the mortar element method. Zbl 1177.65178
Bernardi, Christine; Maday, Yvon; Rapetti, Francesca
41
2005
On phase field modeling of ductile fracture. Zbl 1397.74027
Kuhn, Charlotte; Noll, Timo; Müller, Ralf
35
2016
Prony methods for recovery of structured functions. Zbl 1311.65012
Plonka, Gerlind; Tasche, Manfred
35
2014
High-gain control without identification: a survey. Zbl 1196.93036
Ilchmann, Achim; Ryan, Eugene P.
29
2008
On the treatment of distributed uncertainties in PDE-constrained optimization. Zbl 1207.49033
Borzì, A.; Schulz, V.; Schillings, C.; Von Winckel, G.
23
2010
Interplay between discretization and algebraic computation in adaptive numerical solution of elliptic PDE problems. Zbl 1279.65130
Arioli, Mario; Liesen, Jörg; Międlar, Agnieszka; Strakoš, Zdeněk
19
2013
POD-Galerkin approximations in PDE-constrained optimization. Zbl 1205.35011
Sachs, Ekkehard W.; Volkwein, Stefan
19
2010
Dual mortar methods for computational contact mechanics – overview and recent developments. Zbl 1308.74119
Popp, Alexander; Wall, Wolfgang A.
18
2014
Discrete concepts versus error analysis in PDE-constrained optimization. Zbl 1207.49005
Hinze, Michael; Tröltzsch, Fredi
18
2010
The three-field formulation for elasticity problems. Zbl 1156.74042
Brezzi, Franco; Marini, Luisa Donatella
15
2005
New hybridization techniques. Zbl 1177.65171
Cockburn, Bernardo; Gopalakrishnan, Jayadeep
15
2005
Theory and applications of compressed sensing. Zbl 1283.94018
Kutyniok, Gitta
14
2013
Boundary perturbation methods for water waves. Zbl 1125.76008
Nicholls, David P.
13
2007
The Jacobi-Davidson method. Zbl 1177.65055
Hochstenbach, M. E.; Notay, Y.
13
2006
Distributed and boundary model predictive control for the heat equation. Zbl 1256.49033
Altmüller, Nils; Grüne, Lars
12
2012
Phase-field modelling of fracture in single crystal plasticity. Zbl 1397.74031
De Lorenzis, L.; McBride, A.; Reddy, B. D.
11
2016
Lie theory for quantum control. Zbl 1197.81199
Dirr, G.; Helmke, U.
11
2008
Automatic transition from simulation to one-shot shape optimization with Navier-Stokes equations. Zbl 1342.76068
Özkaya, Emre; Gauger, Nicolas R.
11
2010
A bifurcation approach to non-planar traveling waves in reaction-diffusion systems. Zbl 1133.35385
Haragus, Mariana; Scheel, Arnd
10
2007
Internal solitary waves in a variable medium. Zbl 1121.76015
Grimshaw, Roger
10
2007
Structured eigenvalue problems. Zbl 1177.65052
Fassbender, Heike; Kressner, Daniel
10
2006
On a relaxation method for mathematical programs with vanishing constraints. Zbl 1256.49032
Achtziger, Wolfgang; Kanzow, Christian; Hoheisel, Tim
10
2012
A three-dimensional phenomenological model for magnetic shape memory alloys. Zbl 1279.74026
Auricchio, Ferdinando; Bessoud, Anne-Laure; Reali, Alessandro; Stefanelli, Ulisse
9
2011
Reduced-order modelling for linear heat conduction with parametrised moving heat sources. Zbl 1397.74050
Brands, Benjamin; Mergheim, Julia; Steinmann, Paul
8
2016
Comparison of optimality systems for the optimal control of the obstacle problem. Zbl 1525.49022
Harder, Felix; Wachsmuth, Gerd
8
2018
Three-dimensional travelling gravity-capillary water waves. Zbl 1198.76015
Groves, M. D.
7
2007
Modeling and numerical simulation of crack growth and damage with a phase field approach. Zbl 1397.74176
Weinberg, Kerstin; Dally, Tim; Schuß, Stefan; Werner, Marek; Bilgen, Carola
7
2016
Parameter identification with sensitivity assessment and error computation. Zbl 1158.93323
Johansson, H.; Runesson, K.; Larsson, F.
7
2007
Numerical linear algebra for model reduction in control and simulation. Zbl 1157.93337
Benner, Peter
7
2006
Existence and uniqueness of a global weak solution of a Darcy-Nernst-Planck-Poisson system. Zbl 1261.35121
Herz, Matthias; Ray, Nadja; Knabner, Peter
7
2012
Structured random measurements in signal processing. Zbl 1308.94033
Krahmer, Felix; Rauhut, Holger
6
2014
Equivalent plastic strain gradient crystal plasticity-enhanced power law subroutine. Zbl 1275.74012
Wulfinghoff, Stephan; Böhlke, Thomas
6
2013
Micromorphic modelling of grain size effects in metal polycrystals. Zbl 1275.74009
Cordero, N. M.; Forest, S.; Busso, E. P.
6
2013
A universal model for the elastic, inelastic and active behaviour of soft biological tissues. Zbl 1177.74281
Itskov, M.; Ehret, A. E.
5
2009
Control of weakly conductive fluids by near-wall Lorentz forces. Zbl 1122.76094
Hinze, M.
5
2007
Numerical methods for parameter estimation in nonlinear differential algebraic equations. Zbl 1159.65073
Bock, Hans Georg; Kostina, Ekaterina; Schlöder, Johannes P.
5
2007
Mesoscopic model of microstructure evolution in shape memory alloys, its numerical analysis and computer implementation. Zbl 1157.74032
Roubíček, Tomáš; Kružik, Martin
5
2006
Coordinate-invariant phase field modeling of ferro-electrics. I: Model formulation and single-crystal simulations. Zbl 1525.74062
Schrade, D.; Keip, M.-A.; Thai, H.; Schröder, J.; Svendsen, B.; Müller, R.; Gross, D.
5
2015
Semismooth Newton methods for variational problems with inequality constraints. Zbl 1207.49035
Hager, Corinna; Wohlmuth, Barbara I.
5
2010
On convergence properties of variational constitutive updates for elasto-visco-plasticity. Zbl 1255.74013
Brassart, Laurence; Stainier, Laurent
5
2012
A critical review of the mechanics of polycrystalline polar ice. Zbl 1113.86001
Placidi, Luca; Hutter, Kolumban; Faria, Sérgio H.
4
2006
Identification of material parameters for inelastic constitutive models using stochastic methods. Zbl 1196.74016
Harth, Tobias; Lehn, Jürgen
4
2007
Identification and estimation of constitutive parameters for material laws in elastoplasticity. Zbl 1196.74165
Kreißig, Reiner; Benedix, U.; Görke, Uwe-Jens; Lindner, Mario
4
2007
Existence and regularity of the plastic multiplier in static and quasistatic plasticity. Zbl 1262.74009
Herzog, Roland; Meyer, Christian; Wachsmuth, Gerd
4
2011
On thermodynamically consistent models and gradient structures for thermoplasticity. Zbl 1279.74008
Mielke, Alexander
4
2011
Combining machine learning and domain decomposition methods for the solution of partial differential equations – a review. Zbl 1528.65124
Heinlein, Alexander; Klawonn, Axel; Lanser, Martin; Weber, Janine
4
2021
On the approximation of transport phenomena - a dynamical systems approach. Zbl 1178.37118
Dellnitz, Michael; Froyland, Gary; Horenkamp, Christian; Padberg, Kathrin
3
2009
Dissipative synchronization of nonautonomous and random systems. Zbl 1195.34074
Kloeden, P. E.; Pavani, R.
3
2009
Computational continuum biomechanics with application to swelling media and growth phenomena. Zbl 1177.74138
Ehlers, W.; Markert, B.; Röhrle, O.
3
2009
Linear and nonlinear approach to the Rosensweig instability. Zbl 1122.76037
Lange, Adrian; Richter, Reinhard; Tobiska, Lutz
3
2007
Heat and mass transfer phenomena in magnetic fluids. Zbl 1121.76072
Völker, Th.; Blums, E.; Odenbach, S.
3
2007
Modeling of crack propagation on a mesoscopic length scale. Zbl 1397.74173
Nestler, Britta; Schneider, Daniel; Schoof, Ephraim; Huang, Yunfei; Selzer, Michael
3
2016
Parameter identification in one-dimensional partial differential algebraic equations. Zbl 1158.65335
Schittkowski, K.
3
2007
FETI domain decomposition methods for second order elliptic partial differential equations. Zbl 1177.65180
Klawonn, Axel
3
2006
Shearlets: theory and applications. Zbl 1311.42091
Kutyniok, Gitta; Lim, Wang-Q; Steidl, Gabriele
3
2014
Optimal control of rigid-link manipulators by indirect methods. Zbl 1196.70009
Callies, Rainer; Rentrop, Peter
3
2008
Coordinate-invariant phase field modeling of ferro-electrics. II: Application to composites and poly-crystals. Zbl 1525.74058
Keip, M.-A.; Schrade, D.; Thai, H.; Schröder, J.; Svendsen, B.; Müller, R.; Gross, D.
3
2015
A study of growth and remodeling in isotropic tissues, based on the Anand-Aslan-Chester theory of strain-gradient plasticity. Zbl 07778240
Grillo, Alfio; Di Stefano, Salvatore; Ramírez-Torres, Ariel; Loverre, Michele
3
2019
Three ways to solve partial differential equations with neural networks – a review. Zbl 07778825
Blechschmidt, Jan; Ernst, Oliver G.
3
2021
Modeling fluid saturated porous media under frost attack. Zbl 1342.74057
Ricken, Tim; Bluhm, Joachim
3
2010
Parallel simulation of an infinitesimal elasto-plastic Cosserat model. Zbl 1342.74028
Neff, Patrizio; Müller, Wolfgang; Wieners, Christian
3
2010
Adaptive finite element discretization in PDE-based optimization. Zbl 1207.49023
Rannacher, Rolf; Vexler, Boris
3
2010
Thermodynamics of multiphase problems in viscoelasticity. Zbl 1255.74012
Paoli, Laetitia; Petrov, Adrien
3
2012
Dynamics of patterns in nonlinear equivariant PDEs. Zbl 1180.35036
Beyn, Wolf-Jürgen; Thümmler, Vera
2
2009
Phase field modeling of electrochemically induced fracture in Li-ion battery with large deformation and phase segregation. Zbl 1397.74075
Xu, Bai-xiang; Zhao, Ying; Stein, Peter
2
2016
Calculus of variations, implicit partial differential equations and microstructure. Zbl 1157.49003
Dacorogna, Bernard
2
2006
Quasistatic brittle fracture seen as an energy minimizing movement. Zbl 1157.74034
Francfort, G. A.
2
2006
Rheological models vs. homogenization. Zbl 1243.35155
Visintin, Augusto
2
2011
Finite element analysis of tires in rolling contact. Zbl 1308.74118
Nackenhorst, Udo
2
2014
Geometry processing from an elastic perspective. Zbl 1322.68246
Rumpf, Martin; Wardetzky, Max
2
2014
Image analysis for microstructures based on stochastic models. Zbl 1321.62073
Redenbach, Claudia; Schladitz, Katja; Vecchio, Irene; Wirjadi, Oliver
2
2014
Input-to-state stability, numerical dynamics and sampled-data control. Zbl 1196.93068
Grüne, Lars
2
2008
Comparison of phenomenological and laminate-based models for rate-dependent switching in ferroelectric continua. Zbl 1525.74056
Dusthakar, Dinesh Kumar; Menzel, Andreas; Svendsen, Bob
2
2015
Computational homogenization of nano-materials accounting for size effects via surface elasticity. Zbl 1525.74176
Javili, Ali; Chatzigeorgiou, George; McBride, Andrew T.; Steinmann, Paul; Linder, Christian
2
2015
On continuum limits of heterogeneous discrete systems modelling cracks in composite materials. Zbl 1525.74171
Lauerbach, Laura; Schäffner, Mathias; Schlömerkemper, Anja
2
2018
Phase-field fracture at finite strains based on modified invariants: a note on its analysis and simulations. Zbl 1525.74186
Thomas, Marita; Bilgen, Carola; Weinberg, Kerstin
2
2018
Optimal control of a viscous two-field gradient damage model. Zbl 1525.49024
Susu, Livia M.
2
2018
On the non-polyhedricity of sets with upper and lower bounds in dual spaces. Zbl 1525.49026
Christof, Constantin; Wachsmuth, Gerd
2
2018
Analysis of the sound sources of lean premixed methane-air flames. Zbl 07778803
Herff, Sohel; Pausch, Konrad; Meinke, Matthias; Schröder, Wolfgang
2
2022
Data-driven identification of the spatiotemporal structure of turbulent flows by streaming dynamic mode decomposition. Zbl 07778805
Yang, Rui; Zhang, Xuan; Reiter, Philipp; Lohse, Detlef; Shishkina, Olga; Linkmann, Moritz
2
2022
Active control of compressible channel flow up to \(M a_b = 3\) using direct numerical simulations with spanwise velocity modulation at the walls. Zbl 07778806
Ruby, Marius; Foysi, Holger
2
2022
Turbulent impinging jets on rough surfaces. Zbl 07778807
Secchi, Francesco; Häber, Thomas; Gatti, Davide; Schulz, Sebastian; Trimis, Dimosthenis; Suntz, Rainer; Frohnapfel, Bettina
2
2022
Krylov methods for inverse problems: surveying classical, and introducing new, algorithmic approaches. Zbl 07784226
Gazzola, Silvia; Sabaté Landman, Malena
2
2020
Analysis and comparison of two finite element algorithms for dislocation density based crystal plasticity. Zbl 1276.74010
Klusemann, Benjamin; Svendsen, Bob; Bargmann, Swantje
2
2013
Mixed variational principles for the evolution problem of gradient-extended dissipative solids. Zbl 1255.74021
Miehe, Christian
2
2012
Variational constitutive updates for microstructure evolution in hcp metals. Zbl 1255.74053
Mosler, J.; Homayonifar, M.
2
2012
Generation and evolution of inelastic microstructures – an overview. Zbl 1255.74011
Hackl, Klaus; Hoppe, Ulrich; Kochmann, Dennis M.
2
2012
Regularized nonlinear scalarization for vector optimization problems with PDE-constraints. Zbl 1256.49048
Leugering, G.; Schiel, R.
2
2012
Modelling of terrestrial ice sheets in palaeo-climate research. Zbl 1112.86001
Calov, Reinhard
1
2006
Hydrodynamic description of planetary rings. Zbl 1120.85004
Spahn, Frank; Schmidt, Jürgen
1
2006
Thermodynamic consistent modelling of defects and phicrostructures in ferroelectrics. Zbl 1220.82171
Müller, Ralf; Schröder, Jörg; Lupascu, Doru C.
1
2008
Effective properties and size effects in filled polymers. Zbl 1432.74178
Johlitz, Michael; Steeb, Holger; Jänicke, Ralf; Diebels, Stefan
1
2008
Simulation of vibro-acoustics in flexible piping systems. Zbl 1185.74014
Maess, Matthias; Gaul, Lothar
1
2005
Spectral theory for perturbed systems. Zbl 1178.37048
Colonius, Fritz; Kliemann, Wolfgang
1
2009
Analysis of the sound sources of lean premixed methane-air flames. Zbl 07778803
Herff, Sohel; Pausch, Konrad; Meinke, Matthias; Schröder, Wolfgang
2
2022
Data-driven identification of the spatiotemporal structure of turbulent flows by streaming dynamic mode decomposition. Zbl 07778805
Yang, Rui; Zhang, Xuan; Reiter, Philipp; Lohse, Detlef; Shishkina, Olga; Linkmann, Moritz
2
2022
Active control of compressible channel flow up to \(M a_b = 3\) using direct numerical simulations with spanwise velocity modulation at the walls. Zbl 07778806
Ruby, Marius; Foysi, Holger
2
2022
Turbulent impinging jets on rough surfaces. Zbl 07778807
Secchi, Francesco; Häber, Thomas; Gatti, Davide; Schulz, Sebastian; Trimis, Dimosthenis; Suntz, Rainer; Frohnapfel, Bettina
2
2022
Preface to special issue on direct numerical simulations of turbulent flows. I. Zbl 07778808
1
2022
Coherent structures in turbulent mixed convection flows through channels with differentially heated walls. Zbl 07778810
Wagner, Claus; Wetzel, Tim
1
2022
High-order modeling of interface interactions using level sets. Zbl 07778811
Fleischmann, Nico; Winter, Josef M.; Adami, Stefan; Adams, Nikolaus A.
1
2022
Phase-resolving direct numerical simulations of particle transport in liquids – from microfluidics to sediment. Zbl 07778813
Fröhlich, Jochen; Hafemann, Thomas E.; Jain, Ramandeep
1
2022
Thickness determination of laminate core layers from microscopy images. Zbl 07778815
Hartmann, Stefan; Dileep, Pranav Kumar; Harhash, Mohamed; Palkowski, Heinz
1
2022
Digital image correlation based characterization of rubber material at large shear deformations in an extended temperature range. Zbl 07778816
Kanzenbach, Lars; Lehmann, Thomas; Ihlemann, Jörn
1
2022
On the determination of thermal boundary conditions for parameter identifications of thermo-mechanically coupled material models. Zbl 07778817
Rose, Lars; Menzel, Andreas
1
2022
Multi-scale characterization of granular media by in situ laboratory X-ray computed tomography. Zbl 07778818
Ruf, Matthias; Taghizadeh, Kianoosh; Steeb, Holger
1
2022
Identification of the thermal conductivity tensor for transversely isotropic materials. Zbl 07778819
Tröger, Jendrik-Alexander; Hartmann, Stefan
1
2022
Applicability of correlated digital image correlation and infrared thermography for measuring mesomechanical deformation in foams and auxetics. Zbl 07778820
Grednev, Sergej; Bronder, Stefan; Kunz, Francesco; Reis, Martin; Kirsch, Susanne-Marie; Welsch, Felix; Seelecke, Stefan; Diebels, Stefan; Jung, Anne
1
2022
Influence of CT image processing on the predicted impact of pores on fatigue of additively manufactured Ti6Al4V and AlSi10Mg. Zbl 07778821
Gebhardt, Ulrike; Schulz, Paul; Raßloff, Alexander; Koch, Ilja; Gude, Maik; Kästner, Markus
1
2022
Microstructure characterization and stochastic modeling of open-cell foam based on \(\mu\)CT-image analysis. Zbl 07778822
Bogunia, Lukas; Buchen, Stefan; Weinberg, Kerstin
1
2022
Combining machine learning and domain decomposition methods for the solution of partial differential equations – a review. Zbl 1528.65124
Heinlein, Alexander; Klawonn, Axel; Lanser, Martin; Weber, Janine
4
2021
Three ways to solve partial differential equations with neural networks – a review. Zbl 07778825
Blechschmidt, Jan; Ernst, Oliver G.
3
2021
Hybrid analysis and modeling, eclecticism, and multifidelity computing toward digital twin revolution. Zbl 07778826
San, Omer; Rasheed, Adil; Kvamsdal, Trond
1
2021
Accessing pore microstructure-property relationships for additively manufactured materials. Zbl 07778837
Raßloff, Alexander; Schulz, Paul; Kühne, Robert; Ambati, Marreddy; Koch, Ilja; Zeuner, André T.; Gude, Maik; Zimmermann, Martina; Kästner, Markus
1
2021
Classification and image processing with a semi-discrete scheme for fidelity forced Allen-Cahn on graphs. Zbl 07778858
Budd, Jeremy; van Gennip, Yves; Latz, Jonas
1
2021
Topical issue scientific machine learning (1/2). Zbl 07778859
1
2021
Krylov methods for inverse problems: surveying classical, and introducing new, algorithmic approaches. Zbl 07784226
Gazzola, Silvia; Sabaté Landman, Malena
2
2020
A diffuse modeling approach for embedded interfaces in linear elasticity. Zbl 07778243
Hennig, Paul; Maier, Roland; Peterseim, Daniel; Schillinger, Dominik; Verfürth, Barbara; Kästner, Markus
1
2020
Mesh adaptivity for quasi-static phase-field fractures based on a residual-type a posteriori error estimator. Zbl 07778245
Mang, K.; Walloth, M.; Wick, T.; Wollner, W.
1
2020
Spline- and \(hp\)-basis functions of higher differentiability in the finite cell method. Zbl 07778246
Kollmannsberger, Stefan; D’Angella, Davide; Rank, Ernst; Garhuom, Wadhah; Hubrich, Simeon; Düster, Alexander; Di Stolfo, Paolo; Schröder, Andreas
1
2020
A detailed investigation of the model influencing parameters of the phase-field fracture approach. Zbl 07778843
Bilgen, Carola; Kopaničáková, Alena; Krause, Rolf; Weinberg, Kerstin
1
2020
Numerical linear algebra in data assimilation. Zbl 07778851
Freitag, Melina A.
1
2020
Preconditioners for Krylov subspace methods: an overview. Zbl 07784224
Pearson, John W.; Pestana, Jennifer
1
2020
A survey of subspace recycling iterative methods. Zbl 07784225
Soodhalter, Kirk M.; de Sturler, Eric; Kilmer, Misha E.
1
2020
A study of growth and remodeling in isotropic tissues, based on the Anand-Aslan-Chester theory of strain-gradient plasticity. Zbl 07778240
Grillo, Alfio; Di Stefano, Salvatore; Ramírez-Torres, Ariel; Loverre, Michele
3
2019
Optimization with constraints considering polymorphic uncertainties. Zbl 07777951
Mäck, Markus; Caylak, Ismail; Edler, Philipp; Freitag, Steffen; Hanss, Michael; Mahnken, Rolf; Meschke, Günther; Penner, Eduard
1
2019
Analysis of polymorphic data uncertainties in engineering applications. Zbl 07777957
Drieschner, Martin; Matthies, Hermann G.; Hoang, Truong-Vinh; Rosić, Bojana V.; Ricken, Tim; Henning, Carla; Ostermeyer, Georg-Peter; Müller, Michael; Brumme, Stephan; Srisupattarawanit, Tarin; Weinberg, Kerstin; Korzeniowski, Tim F.
1
2019
Modeling and simulation of human induced pluripotent stem cell-derived cardiac tissue. Zbl 07778238
Jung, Alexander; Staat, Manfred
1
2019
Comparison of optimality systems for the optimal control of the obstacle problem. Zbl 1525.49022
Harder, Felix; Wachsmuth, Gerd
8
2018
On continuum limits of heterogeneous discrete systems modelling cracks in composite materials. Zbl 1525.74171
Lauerbach, Laura; Schäffner, Mathias; Schlömerkemper, Anja
2
2018
Phase-field fracture at finite strains based on modified invariants: a note on its analysis and simulations. Zbl 1525.74186
Thomas, Marita; Bilgen, Carola; Weinberg, Kerstin
2
2018
Optimal control of a viscous two-field gradient damage model. Zbl 1525.49024
Susu, Livia M.
2
2018
On the non-polyhedricity of sets with upper and lower bounds in dual spaces. Zbl 1525.49026
Christof, Constantin; Wachsmuth, Gerd
2
2018
A note on the equivalence and the boundary behavior of a class of Sobolev capacities. Zbl 1527.49007
Christof, Constantin; Müller, Georg
1
2018
On the optimal control of some nonsmooth distributed parameter systems arising in mechanics. Zbl 1525.49007
de los Reyes, J. C.
1
2018
An operator theoretic approach to infinite-dimensional control systems. Zbl 07777945
Jacob, Birgit; Zwart, Hans
1
2018
3D modelling of brittle fracture using a joint all-atom and phase-field approach. Zbl 1525.74183
Padilla, C. A. Hernandez; Patil, S. P.; Heider, Y.; Markert, B.
1
2017
Micro-macro modelling of steel solidification: a continuum mechanical, bi-phasic, two-scale model including thermal driven phase transition. Zbl 1525.74161
Moj, Lukas; Foppe, Manuel; Deike, Rüdiger; Ricken, Tim
1
2017
On phase field modeling of ductile fracture. Zbl 1397.74027
Kuhn, Charlotte; Noll, Timo; Müller, Ralf
35
2016
Phase-field modelling of fracture in single crystal plasticity. Zbl 1397.74031
De Lorenzis, L.; McBride, A.; Reddy, B. D.
11
2016
Reduced-order modelling for linear heat conduction with parametrised moving heat sources. Zbl 1397.74050
Brands, Benjamin; Mergheim, Julia; Steinmann, Paul
8
2016
Modeling and numerical simulation of crack growth and damage with a phase field approach. Zbl 1397.74176
Weinberg, Kerstin; Dally, Tim; Schuß, Stefan; Werner, Marek; Bilgen, Carola
7
2016
Modeling of crack propagation on a mesoscopic length scale. Zbl 1397.74173
Nestler, Britta; Schneider, Daniel; Schoof, Ephraim; Huang, Yunfei; Selzer, Michael
3
2016
Phase field modeling of electrochemically induced fracture in Li-ion battery with large deformation and phase segregation. Zbl 1397.74075
Xu, Bai-xiang; Zhao, Ying; Stein, Peter
2
2016
Computational homogenization of liquid-phase sintering based on a mixed variational format. Zbl 1397.74200
Öhman, Mikael; Larsson, Fredrik; Runesson, Kenneth
1
2016
The concept of generalized stresses for computational manufacturing and beyond. Zbl 1397.74199
Mahnken, Rolf; Cheng, Chun; Düsing, Martin; Ehlenbröker, Ulrich; Leismann, Thorben
1
2016
Coordinate-invariant phase field modeling of ferro-electrics. I: Model formulation and single-crystal simulations. Zbl 1525.74062
Schrade, D.; Keip, M.-A.; Thai, H.; Schröder, J.; Svendsen, B.; Müller, R.; Gross, D.
5
2015
Coordinate-invariant phase field modeling of ferro-electrics. II: Application to composites and poly-crystals. Zbl 1525.74058
Keip, M.-A.; Schrade, D.; Thai, H.; Schröder, J.; Svendsen, B.; Müller, R.; Gross, D.
3
2015
Comparison of phenomenological and laminate-based models for rate-dependent switching in ferroelectric continua. Zbl 1525.74056
Dusthakar, Dinesh Kumar; Menzel, Andreas; Svendsen, Bob
2
2015
Computational homogenization of nano-materials accounting for size effects via surface elasticity. Zbl 1525.74176
Javili, Ali; Chatzigeorgiou, George; McBride, Andrew T.; Steinmann, Paul; Linder, Christian
2
2015
Isogeometric contact: a review. Zbl 1308.74114
De Lorenzis, Laura; Wriggers, Peter; Hughes, Thomas J. R.
59
2014
Prony methods for recovery of structured functions. Zbl 1311.65012
Plonka, Gerlind; Tasche, Manfred
35
2014
Dual mortar methods for computational contact mechanics – overview and recent developments. Zbl 1308.74119
Popp, Alexander; Wall, Wolfgang A.
18
2014
Structured random measurements in signal processing. Zbl 1308.94033
Krahmer, Felix; Rauhut, Holger
6
2014
Shearlets: theory and applications. Zbl 1311.42091
Kutyniok, Gitta; Lim, Wang-Q; Steidl, Gabriele
3
2014
Finite element analysis of tires in rolling contact. Zbl 1308.74118
Nackenhorst, Udo
2
2014
Geometry processing from an elastic perspective. Zbl 1322.68246
Rumpf, Martin; Wardetzky, Max
2
2014
Image analysis for microstructures based on stochastic models. Zbl 1321.62073
Redenbach, Claudia; Schladitz, Katja; Vecchio, Irene; Wirjadi, Oliver
2
2014
A literature survey of low-rank tensor approximation techniques. Zbl 1279.65045
Grasedyck, Lars; Kressner, Daniel; Tobler, Christine
192
2013
Rational Krylov approximation of matrix functions: numerical methods and optimal pole selection. Zbl 1292.65043
Güttel, Stefan
85
2013
Numerical solution of large and sparse continuous time algebraic matrix Riccati and Lyapunov equations: a state of the art survey. Zbl 1279.65044
Benner, Peter; Saak, Jens
74
2013
Interplay between discretization and algebraic computation in adaptive numerical solution of elliptic PDE problems. Zbl 1279.65130
Arioli, Mario; Liesen, Jörg; Międlar, Agnieszka; Strakoš, Zdeněk
19
2013
Theory and applications of compressed sensing. Zbl 1283.94018
Kutyniok, Gitta
14
2013
Equivalent plastic strain gradient crystal plasticity-enhanced power law subroutine. Zbl 1275.74012
Wulfinghoff, Stephan; Böhlke, Thomas
6
2013
Micromorphic modelling of grain size effects in metal polycrystals. Zbl 1275.74009
Cordero, N. M.; Forest, S.; Busso, E. P.
6
2013
Analysis and comparison of two finite element algorithms for dislocation density based crystal plasticity. Zbl 1276.74010
Klusemann, Benjamin; Svendsen, Bob; Bargmann, Swantje
2
2013
On generalized crystal-plasticity based on defect-densities in a second-order continuum. Zbl 1275.74011
Steinmann, Paul
1
2013
Distributed and boundary model predictive control for the heat equation. Zbl 1256.49033
Altmüller, Nils; Grüne, Lars
12
2012
On a relaxation method for mathematical programs with vanishing constraints. Zbl 1256.49032
Achtziger, Wolfgang; Kanzow, Christian; Hoheisel, Tim
10
2012
Existence and uniqueness of a global weak solution of a Darcy-Nernst-Planck-Poisson system. Zbl 1261.35121
Herz, Matthias; Ray, Nadja; Knabner, Peter
7
2012
On convergence properties of variational constitutive updates for elasto-visco-plasticity. Zbl 1255.74013
Brassart, Laurence; Stainier, Laurent
5
2012
Thermodynamics of multiphase problems in viscoelasticity. Zbl 1255.74012
Paoli, Laetitia; Petrov, Adrien
3
2012
Mixed variational principles for the evolution problem of gradient-extended dissipative solids. Zbl 1255.74021
Miehe, Christian
2
2012
Variational constitutive updates for microstructure evolution in hcp metals. Zbl 1255.74053
Mosler, J.; Homayonifar, M.
2
2012
Generation and evolution of inelastic microstructures – an overview. Zbl 1255.74011
Hackl, Klaus; Hoppe, Ulrich; Kochmann, Dennis M.
2
2012
Regularized nonlinear scalarization for vector optimization problems with PDE-constraints. Zbl 1256.49048
Leugering, G.; Schiel, R.
2
2012
A three-dimensional phenomenological model for magnetic shape memory alloys. Zbl 1279.74026
Auricchio, Ferdinando; Bessoud, Anne-Laure; Reali, Alessandro; Stefanelli, Ulisse
9
2011
Existence and regularity of the plastic multiplier in static and quasistatic plasticity. Zbl 1262.74009
Herzog, Roland; Meyer, Christian; Wachsmuth, Gerd
4
2011
On thermodynamically consistent models and gradient structures for thermoplasticity. Zbl 1279.74008
Mielke, Alexander
4
2011
Rheological models vs. homogenization. Zbl 1243.35155
Visintin, Augusto
2
2011
Improved \(L^p\)-estimates for the strain velocities in hardening problems. Zbl 1319.74005
Frehse, Jens; Löbach, Dominique
1
2011
On electroseismic waves in anisotropic, inhomogeneous media. Zbl 1241.74012
McGhee, Des; Picard, Rainer
1
2011
Modeling of ferroelectric hysteresis as variational inequality. Zbl 1239.74027
Kutter, Michael; Sändig, Anna-Margarete
1
2011
Traveling waves to models of solid-solid phase transitions driven by configurational forces. Zbl 1243.35156
Zhu, Peicheng
1
2011
Principles of least action and of least constraint. Zbl 1241.70002
Ramm, Ekkehard
1
2011
Algorithms for PDE-constrained optimization. Zbl 1207.49034
Herzog, Roland; Kunisch, Karl
50
2010
On the treatment of distributed uncertainties in PDE-constrained optimization. Zbl 1207.49033
Borzì, A.; Schulz, V.; Schillings, C.; Von Winckel, G.
23
2010
POD-Galerkin approximations in PDE-constrained optimization. Zbl 1205.35011
Sachs, Ekkehard W.; Volkwein, Stefan
19
2010
Discrete concepts versus error analysis in PDE-constrained optimization. Zbl 1207.49005
Hinze, Michael; Tröltzsch, Fredi
18
2010
Automatic transition from simulation to one-shot shape optimization with Navier-Stokes equations. Zbl 1342.76068
Özkaya, Emre; Gauger, Nicolas R.
11
2010
Semismooth Newton methods for variational problems with inequality constraints. Zbl 1207.49035
Hager, Corinna; Wohlmuth, Barbara I.
5
2010
Modeling fluid saturated porous media under frost attack. Zbl 1342.74057
Ricken, Tim; Bluhm, Joachim
3
2010
Parallel simulation of an infinitesimal elasto-plastic Cosserat model. Zbl 1342.74028
Neff, Patrizio; Müller, Wolfgang; Wieners, Christian
3
2010
Adaptive finite element discretization in PDE-based optimization. Zbl 1207.49023
Rannacher, Rolf; Vexler, Boris
3
2010
...and 48 more Documents
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Cited by 2,130 Authors

25 Benner, Peter
23 Kressner, Daniel
16 Khoromskiĭ, Boris Nikolaevich
13 Kürschner, Patrick
13 Simoncini, Valeria
12 de Lorenzis, Laura
12 Dolgov, Sergey V.
11 Güttel, Stefan
11 Plonka, Gerlind
10 Khoromskaia, Venera
9 Bukač, Martina
9 Reis, Timo
8 Bachmayr, Markus
8 Breiten, Tobias
8 Saak, Jens
8 Schneider, Reinhold
8 Tröltzsch, Fredi
8 Wall, Wolfgang A.
7 Che, Maolin
7 Popp, Alexander
7 Ruess, Martin
7 Stefanelli, Ulisse
7 Stoll, Martin
7 Wei, Yimin
7 Weinberg, Kerstin
6 Bilgen, Carola
6 Burman, Erik
6 Fernández, Miguel Ángel
6 Grasedyck, Lars
6 Grimshaw, Roger Hamilton James
6 Huerta, Antonio
6 Krause, Rolf H.
6 Matthies, Hermann Georg
6 Reali, Alessandro
6 Reese, Stefanie
6 Schröder, Jörg
6 Surowiec, Thomas
6 Wohlmuth, Barbara I.
5 Bernardi, Christine
5 Chouly, Franz
5 Gauger, Nicolas R.
5 Ghattas, Omar N.
5 Hackbusch, Wolfgang
5 Hansbo, Peter
5 Hartmann, Stefan
5 Hofreither, Clemens
5 Kazeev, Vladimir A.
5 Larson, Mats G.
5 Mang, Andreas
5 Massei, Stefano
5 Mena, Hermann
5 Nouy, Anthony
5 Otárola, Enrique
5 Palitta, Davide
5 Rakhuba, Maxim V.
5 Rank, Ernst
5 Schwab, Christoph
5 Sevilla, Ruben
5 Steinmann, Paul
5 Svendsen, Bob
5 Uschmajew, André
5 Vandereycken, Bart
5 Vohralík, Martin
5 Wachsmuth, Gerd
5 Wriggers, Peter
4 Auricchio, Ferdinando
4 Bazilevs, Yuri
4 Böhlke, Thomas
4 Borzì, Alfio
4 Bu, Zhenhui
4 Chen, Peng
4 Cocquet, Pierre-Henri
4 Dahmen, Wolfgang A.
4 Ehrlacher, Virginie
4 Eigel, Martin
4 Giacomini, Matteo
4 Grigori, Laura
4 Gugercin, Serkan
4 Guo, Yujie
4 Haasdonk, Bernard
4 Heltai, Luca
4 Herrmann, Christoph
4 Herzog, Roland
4 Keip, Marc-André
4 Kiendl, Josef
4 Klawonn, Axel
4 Kouri, Drew P.
4 Kovtunenko, Viktor Anatolievich
4 Kunis, Stefan
4 Kunisch, Karl
4 Lee, Namgil
4 Mahnken, Rolf
4 Manzoni, Andrea
4 Mehlitz, Patrick
4 Meyer, Christian
4 Muller, Ralf
4 Nestler, Britta
4 Oseledets, Ivan Valer’evich
4 Pearson, John W.
4 Quarteroni, Alfio M.
...and 2,030 more Authors
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Cited in 224 Journals

145 Computer Methods in Applied Mechanics and Engineering
58 SIAM Journal on Scientific Computing
56 Computational Mechanics
41 Journal of Computational Physics
27 SIAM Journal on Matrix Analysis and Applications
25 GAMM-Mitteilungen
23 Journal of Computational and Applied Mathematics
22 Numerische Mathematik
20 Numerical Algorithms
19 International Journal for Numerical Methods in Engineering
18 Journal of Scientific Computing
17 Computers & Mathematics with Applications
17 Automatica
16 Linear Algebra and its Applications
16 Advances in Computational Mathematics
16 SIAM/ASA Journal on Uncertainty Quantification
14 BIT
13 SIAM Journal on Control and Optimization
13 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
11 Applied Numerical Mathematics
11 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
9 Computers and Fluids
9 SIAM Journal on Numerical Analysis
9 Continuum Mechanics and Thermodynamics
9 Computational Optimization and Applications
9 Numerical Linear Algebra with Applications
8 Computer Physics Communications
8 Inverse Problems
8 Journal of Fluid Mechanics
8 European Journal of Mechanics. A. Solids
8 Computational Methods in Applied Mathematics
7 Systems & Control Letters
7 Optimization Methods & Software
7 Nonlinear Analysis. Real World Applications
7 Archives of Computational Methods in Engineering
7 Foundations of Computational Mathematics
6 Mathematics of Computation
6 Applied Mathematics and Computation
6 Meccanica
6 ETNA. Electronic Transactions on Numerical Analysis
6 The Journal of Fourier Analysis and Applications
6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
5 Journal of Engineering Mathematics
5 Optimization
5 Applied Mathematical Modelling
5 SIAM Journal on Optimization
5 Computational Geosciences
5 Discrete and Continuous Dynamical Systems. Series S
5 Numerical Algebra, Control and Optimization
4 Journal of the Franklin Institute
4 Journal of Mathematical Physics
4 Mathematical Methods in the Applied Sciences
4 Applied Mathematics and Optimization
4 Journal of Differential Equations
4 Journal of Optimization Theory and Applications
4 SIAM Review
4 Mathematical Programming. Series A. Series B
4 Applied and Computational Harmonic Analysis
4 Mathematical and Computer Modelling of Dynamical Systems
4 Acta Numerica
4 S\(\vec{\text{e}}\)MA Journal
4 Mathematics and Mechanics of Complex Systems
4 SIAM Journal on Applied Algebra and Geometry
3 Acta Mechanica
3 International Journal of Control
3 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
3 Journal of the Mechanics and Physics of Solids
3 Wave Motion
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 Calcolo
3 Optimal Control Applications & Methods
3 Physica D
3 Numerical Methods for Partial Differential Equations
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 Computational and Applied Mathematics
3 Journal of Convex Analysis
3 Engineering Analysis with Boundary Elements
3 Computing and Visualization in Science
3 Vietnam Journal of Mathematics
3 Journal of Mathematical Fluid Mechanics
3 Quantum Information Processing
3 SIAM Journal on Imaging Sciences
3 Science China. Mathematics
3 Mathematical Control and Related Fields
3 Evolution Equations and Control Theory
3 International Journal of Systems Science. Principles and Applications of Systems and Integration
3 SIAM Journal on Mathematics of Data Science
2 Applicable Analysis
2 Archive for Rational Mechanics and Analysis
2 International Journal of Engineering Science
2 Journal of Mathematical Analysis and Applications
2 Journal of Mathematical Biology
2 Linear and Multilinear Algebra
2 Mathematical Biosciences
2 Mathematics and Computers in Simulation
2 Studies in Applied Mathematics
2 Zeitschrift für Analysis und ihre Anwendungen
2 Computer Aided Geometric Design
2 Applied Mathematics Letters
2 MCSS. Mathematics of Control, Signals, and Systems
...and 124 more Journals
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Cited in 50 Fields

660 Numerical analysis (65-XX)
327 Mechanics of deformable solids (74-XX)
231 Partial differential equations (35-XX)
159 Linear and multilinear algebra; matrix theory (15-XX)
157 Fluid mechanics (76-XX)
148 Calculus of variations and optimal control; optimization (49-XX)
126 Systems theory; control (93-XX)
70 Operations research, mathematical programming (90-XX)
53 Computer science (68-XX)
51 Approximations and expansions (41-XX)
46 Probability theory and stochastic processes (60-XX)
46 Biology and other natural sciences (92-XX)
45 Information and communication theory, circuits (94-XX)
36 Statistics (62-XX)
25 Dynamical systems and ergodic theory (37-XX)
25 Optics, electromagnetic theory (78-XX)
25 Geophysics (86-XX)
24 Operator theory (47-XX)
23 Statistical mechanics, structure of matter (82-XX)
22 Ordinary differential equations (34-XX)
21 Harmonic analysis on Euclidean spaces (42-XX)
18 Quantum theory (81-XX)
11 Mechanics of particles and systems (70-XX)
11 Classical thermodynamics, heat transfer (80-XX)
9 General and overarching topics; collections (00-XX)
9 Functions of a complex variable (30-XX)
9 Functional analysis (46-XX)
7 Integral transforms, operational calculus (44-XX)
7 Global analysis, analysis on manifolds (58-XX)
7 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
6 Differential geometry (53-XX)
5 Algebraic geometry (14-XX)
5 Real functions (26-XX)
4 Integral equations (45-XX)
3 Combinatorics (05-XX)
3 Convex and discrete geometry (52-XX)
3 Astronomy and astrophysics (85-XX)
2 History and biography (01-XX)
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1 Topological groups, Lie groups (22-XX)
1 Measure and integration (28-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Special functions (33-XX)
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1 Relativity and gravitational theory (83-XX)

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