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Author ID: emmrich.etienne Recent zbMATH articles by "Emmrich, Etienne"
Published as: Emmrich, Etienne; Emmrich, E.
Homepage: https://www.math.tu-berlin.de/fachgebiete_ag_modnumdiff/diffeqs/v-menue/fg_diffe...
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Publications by Year

Citations contained in zbMATH Open

44 Publications have been cited 536 times in 340 Documents Cited by Year
On the well-posedness of the linear peridynamic model and its convergence towards the Navier equation of linear elasticity. Zbl 1133.35098
Emmrich, Etienne; Weckner, Olaf
78
2007
Stability and error of the variable two-step BDF for semilinear parabolic problems. Zbl 1082.65086
Emmrich, Etienne
46
2005
Analysis and numerical approximation of an integro-differential equation modeling non-local effects in linear elasticity. Zbl 1175.74013
Emmrich, Etienne; Weckner, Olaf
42
2007
The peridynamic equation and its spatial discretisation. Zbl 1121.65073
Emmrich, E.; Weckner, O.
38
2007
Error of the two-step BDF for the incompressible Navier-Stokes problem. Zbl 1076.76054
Emmrich, Etienne
23
2004
Two-step BDF time discretisation of nonlinear evolution problems governed by monotone operators with strongly continuous perturbations. Zbl 1169.65046
Emmrich, E.
22
2009
Peridynamics: a nonlocal continuum theory. Zbl 1311.74013
Emmrich, Etienne; Lehoucq, Richard B.; Puhst, Dimitri
20
2013
Operator differential-algebraic equations arising in fluid dynamics. Zbl 1392.34070
Emmrich, Etienne; Mehrmann, Volker
19
2013
Convergence of the variable two-step BDF time discretisation of nonlinear evolution problems governed by a monotone potential operator. Zbl 1172.65026
Emmrich, Etienne
17
2009
Numerical simulation of the dynamics of a nonlocal inhomogeneous infinite bar. Zbl 1097.74036
Weckner, O.; Emmrich, E.
15
2005
Doubly nonlinear evolution equations of second order: existence and fully discrete approximation. Zbl 1220.47141
Emmrich, Etienne; Thalhammer, Mechthild
13
2011
Measure-valued and weak solutions to the nonlinear peridynamic model in nonlocal elastodynamics. Zbl 1312.35163
Emmrich, Etienne; Puhst, Dimitri
13
2015
Well-posedness of the peridynamic model with Lipschitz continuous pairwise force function. Zbl 1434.74016
Emmrich, Etienne; Puhst, Dimitri
13
2013
A short note on modeling damage in peridynamics. Zbl 1334.35339
Emmrich, Etienne; Puhst, Dimitri
12
2016
Full discretization of the porous medium/fast diffusion equation based on its very weak formulation. Zbl 1282.76174
Emmrich, Etienne; Šiška, David
12
2012
Survey of existence results in nonlinear peridynamics in comparison with local elastodynamics. Zbl 1327.74003
Emmrich, Etienne; Puhst, Dimitri
11
2015
Ordinary and operator-differential equations. An integrated introduction to boundary value problems and evolution equations for students. (Gewöhnliche und Operator-Differentialgleichungen. Eine integrierte Einführung in Randwertprobleme und Evolutionsgleichungen für Studierende.) Zbl 1077.34002
Emmrich, Etienne
11
2004
A class of integro-differential equations incorporating nonlinear and nonlocal damping with applications in nonlinear elastodynamics: existence via time discretization. Zbl 1222.74021
Emmrich, Etienne; Thalhammer, Mechthild
10
2011
Convergence of a time discretization for a class of non-Newtonian fluid flow. Zbl 1160.76034
Emmrich, Etienne
10
2008
Stiffly accurate Runge-Kutta methods for nonlinear evolution problems governed by a monotone operator. Zbl 1202.65067
Emmrich, Etienne; Thalhammer, Mechthild
10
2010
Entropy-stable and entropy-dissipative approximations of a fourth-order quantum diffusion equation. Zbl 1354.65163
Bukal, Mario; Emmrich, Etienne; Jüngel, Ansgar
9
2014
Evolution equations of second order with nonconvex potential and linear damping: existence via convergence of a full discretization. Zbl 1317.47067
Emmrich, Etienne; Šiška, David
9
2013
Convergence of a full discretization of quasi-linear parabolic equations in isotropic and anisotropic Orlicz spaces. Zbl 1272.65070
Emmrich, Etienne; Wróblewska-Kamińska, Aneta
9
2013
Convergence of a time discretisation for doubly nonlinear evolution equations of second order. Zbl 1192.65059
Emmrich, Etienne; Thalhammer, Mechthild
8
2010
Variable time-step \(\vartheta\)-scheme for nonlinear evolution equations governed by a monotone operator. Zbl 1177.65075
Emmrich, Etienne
8
2009
Analysis of time discretization of incompressible Navier-Stokes problem. (Analysis von Zeitdiskretisierungen des inkompressiblen Navier-Stokes-Problems.) Zbl 0982.76003
Emmrich, Etienne
7
2001
Stability and convergence of the two-step BDF for the incompressible Navier-Stokes problem. Zbl 1401.76104
Emmrich, Etienne
6
2004
Supraconvergence of a finite difference scheme for elliptic boundary value problems of the third kind in fractional order Sobolev spaces. Zbl 1100.65085
Emmrich, E.; Grigorieff, R. D.
5
2006
Full discretisation of second-order nonlinear evolution equations: strong convergence and applications. Zbl 1283.47068
Emmrich, Etienne; Šiška, David
5
2011
Existence of weak solutions to the Ericksen-Leslie model for a general class of free energies. Zbl 1402.35221
Emmrich, Etienne; Lasarzik, Robert
5
2018
On a full discretisation for nonlinear second-order evolution equations with monotone damping: construction, convergence, and error estimates. Zbl 1334.65094
Emmrich, Etienne; Šiška, David; Thalhammer, Mechthild
4
2015
Supraconvergence and supercloseness of a discretisation for elliptic third-kind boundary-value problems on polygonal domains. Zbl 1121.65108
Emmrich, E.
3
2007
Time discretisation of monotone nonlinear evolution problems by the discontinuous Galerkin method. Zbl 1233.65038
Emmrich, Etienne
3
2011
Equations of second order in time with quasilinear damping: existence in Orlicz spaces via convergence of a full discretisation. Zbl 1350.35133
Emmrich, Etienne; Šiška, David; Wróblewska-Kamińska, Aneta
3
2016
Weak-strong uniqueness for the general Ericksen-Leslie system in three dimensions. Zbl 1397.35207
Emmrich, Etienne; Lasarzik, Robert
3
2018
An existence result and evolutionary \(\varGamma \)-convergence for perturbed gradient systems. Zbl 1420.35029
Bacho, Aras; Emmrich, Etienne; Mielke, Alexander
3
2019
Nonlinear stochastic evolution equations of second order with damping. Zbl 1362.60061
Emmrich, Etienne; Šiška, David
2
2017
Existence via time discretization for a class of doubly nonlinear operator-differential equations of Barenblatt-type. Zbl 1276.47088
Emmrich, Etienne; Vallet, Guy
2
2013
Semilinear parabolic differential inclusions with one-sided Lipschitz nonlinearities. Zbl 1401.35361
Beyn, Wolf-Jürgen; Emmrich, Etienne; Rieger, Janosch
2
2018
Analytical and numerical aspects of partial differential equations. Notes of a lecture series. Lectures held at the Technische Universität Berlin, Berlin, Germany, 2007–2009. Zbl 1169.35003
1
2009
External approximation of nonlinear operator equations. Zbl 1184.65061
Emmrich, Etienne
1
2009
Convergence of the backward Euler scheme for the operator-valued Riccati differential equation with semi-definite data. Zbl 1476.65151
Eisenmann, Monika; Emmrich, Etienne; Mehrmann, Volker
1
2019
On a multivalued differential equation with nonlocality in time. Zbl 07341130
Eikmeier, André; Emmrich, Etienne
1
2020
Nonlinear evolution equations with exponentially decaying memory: existence via time discretisation, uniqueness, and stability. Zbl 1505.47116
Eikmeier, André; Emmrich, Etienne; Kreusler, Hans-Christian
1
2020
On a multivalued differential equation with nonlocality in time. Zbl 07341130
Eikmeier, André; Emmrich, Etienne
1
2020
Nonlinear evolution equations with exponentially decaying memory: existence via time discretisation, uniqueness, and stability. Zbl 1505.47116
Eikmeier, André; Emmrich, Etienne; Kreusler, Hans-Christian
1
2020
An existence result and evolutionary \(\varGamma \)-convergence for perturbed gradient systems. Zbl 1420.35029
Bacho, Aras; Emmrich, Etienne; Mielke, Alexander
3
2019
Convergence of the backward Euler scheme for the operator-valued Riccati differential equation with semi-definite data. Zbl 1476.65151
Eisenmann, Monika; Emmrich, Etienne; Mehrmann, Volker
1
2019
Existence of weak solutions to the Ericksen-Leslie model for a general class of free energies. Zbl 1402.35221
Emmrich, Etienne; Lasarzik, Robert
5
2018
Weak-strong uniqueness for the general Ericksen-Leslie system in three dimensions. Zbl 1397.35207
Emmrich, Etienne; Lasarzik, Robert
3
2018
Semilinear parabolic differential inclusions with one-sided Lipschitz nonlinearities. Zbl 1401.35361
Beyn, Wolf-Jürgen; Emmrich, Etienne; Rieger, Janosch
2
2018
Nonlinear stochastic evolution equations of second order with damping. Zbl 1362.60061
Emmrich, Etienne; Šiška, David
2
2017
A short note on modeling damage in peridynamics. Zbl 1334.35339
Emmrich, Etienne; Puhst, Dimitri
12
2016
Equations of second order in time with quasilinear damping: existence in Orlicz spaces via convergence of a full discretisation. Zbl 1350.35133
Emmrich, Etienne; Šiška, David; Wróblewska-Kamińska, Aneta
3
2016
Measure-valued and weak solutions to the nonlinear peridynamic model in nonlocal elastodynamics. Zbl 1312.35163
Emmrich, Etienne; Puhst, Dimitri
13
2015
Survey of existence results in nonlinear peridynamics in comparison with local elastodynamics. Zbl 1327.74003
Emmrich, Etienne; Puhst, Dimitri
11
2015
On a full discretisation for nonlinear second-order evolution equations with monotone damping: construction, convergence, and error estimates. Zbl 1334.65094
Emmrich, Etienne; Šiška, David; Thalhammer, Mechthild
4
2015
Entropy-stable and entropy-dissipative approximations of a fourth-order quantum diffusion equation. Zbl 1354.65163
Bukal, Mario; Emmrich, Etienne; Jüngel, Ansgar
9
2014
Peridynamics: a nonlocal continuum theory. Zbl 1311.74013
Emmrich, Etienne; Lehoucq, Richard B.; Puhst, Dimitri
20
2013
Operator differential-algebraic equations arising in fluid dynamics. Zbl 1392.34070
Emmrich, Etienne; Mehrmann, Volker
19
2013
Well-posedness of the peridynamic model with Lipschitz continuous pairwise force function. Zbl 1434.74016
Emmrich, Etienne; Puhst, Dimitri
13
2013
Evolution equations of second order with nonconvex potential and linear damping: existence via convergence of a full discretization. Zbl 1317.47067
Emmrich, Etienne; Šiška, David
9
2013
Convergence of a full discretization of quasi-linear parabolic equations in isotropic and anisotropic Orlicz spaces. Zbl 1272.65070
Emmrich, Etienne; Wróblewska-Kamińska, Aneta
9
2013
Existence via time discretization for a class of doubly nonlinear operator-differential equations of Barenblatt-type. Zbl 1276.47088
Emmrich, Etienne; Vallet, Guy
2
2013
Full discretization of the porous medium/fast diffusion equation based on its very weak formulation. Zbl 1282.76174
Emmrich, Etienne; Šiška, David
12
2012
Doubly nonlinear evolution equations of second order: existence and fully discrete approximation. Zbl 1220.47141
Emmrich, Etienne; Thalhammer, Mechthild
13
2011
A class of integro-differential equations incorporating nonlinear and nonlocal damping with applications in nonlinear elastodynamics: existence via time discretization. Zbl 1222.74021
Emmrich, Etienne; Thalhammer, Mechthild
10
2011
Full discretisation of second-order nonlinear evolution equations: strong convergence and applications. Zbl 1283.47068
Emmrich, Etienne; Šiška, David
5
2011
Time discretisation of monotone nonlinear evolution problems by the discontinuous Galerkin method. Zbl 1233.65038
Emmrich, Etienne
3
2011
Stiffly accurate Runge-Kutta methods for nonlinear evolution problems governed by a monotone operator. Zbl 1202.65067
Emmrich, Etienne; Thalhammer, Mechthild
10
2010
Convergence of a time discretisation for doubly nonlinear evolution equations of second order. Zbl 1192.65059
Emmrich, Etienne; Thalhammer, Mechthild
8
2010
Two-step BDF time discretisation of nonlinear evolution problems governed by monotone operators with strongly continuous perturbations. Zbl 1169.65046
Emmrich, E.
22
2009
Convergence of the variable two-step BDF time discretisation of nonlinear evolution problems governed by a monotone potential operator. Zbl 1172.65026
Emmrich, Etienne
17
2009
Variable time-step \(\vartheta\)-scheme for nonlinear evolution equations governed by a monotone operator. Zbl 1177.65075
Emmrich, Etienne
8
2009
Analytical and numerical aspects of partial differential equations. Notes of a lecture series. Lectures held at the Technische Universität Berlin, Berlin, Germany, 2007–2009. Zbl 1169.35003
1
2009
External approximation of nonlinear operator equations. Zbl 1184.65061
Emmrich, Etienne
1
2009
Convergence of a time discretization for a class of non-Newtonian fluid flow. Zbl 1160.76034
Emmrich, Etienne
10
2008
On the well-posedness of the linear peridynamic model and its convergence towards the Navier equation of linear elasticity. Zbl 1133.35098
Emmrich, Etienne; Weckner, Olaf
78
2007
Analysis and numerical approximation of an integro-differential equation modeling non-local effects in linear elasticity. Zbl 1175.74013
Emmrich, Etienne; Weckner, Olaf
42
2007
The peridynamic equation and its spatial discretisation. Zbl 1121.65073
Emmrich, E.; Weckner, O.
38
2007
Supraconvergence and supercloseness of a discretisation for elliptic third-kind boundary-value problems on polygonal domains. Zbl 1121.65108
Emmrich, E.
3
2007
Supraconvergence of a finite difference scheme for elliptic boundary value problems of the third kind in fractional order Sobolev spaces. Zbl 1100.65085
Emmrich, E.; Grigorieff, R. D.
5
2006
Stability and error of the variable two-step BDF for semilinear parabolic problems. Zbl 1082.65086
Emmrich, Etienne
46
2005
Numerical simulation of the dynamics of a nonlocal inhomogeneous infinite bar. Zbl 1097.74036
Weckner, O.; Emmrich, E.
15
2005
Error of the two-step BDF for the incompressible Navier-Stokes problem. Zbl 1076.76054
Emmrich, Etienne
23
2004
Ordinary and operator-differential equations. An integrated introduction to boundary value problems and evolution equations for students. (Gewöhnliche und Operator-Differentialgleichungen. Eine integrierte Einführung in Randwertprobleme und Evolutionsgleichungen für Studierende.) Zbl 1077.34002
Emmrich, Etienne
11
2004
Stability and convergence of the two-step BDF for the incompressible Navier-Stokes problem. Zbl 1401.76104
Emmrich, Etienne
6
2004
Analysis of time discretization of incompressible Navier-Stokes problem. (Analysis von Zeitdiskretisierungen des inkompressiblen Navier-Stokes-Problems.) Zbl 0982.76003
Emmrich, Etienne
7
2001
all top 5

Cited by 510 Authors

18 Du, Qiang
18 Emmrich, Etienne
12 Lipton, Robert P.
11 Yu, Yue
9 Altmann, Robert
9 Gunzburger, Max D.
9 Mengesha, Tadele
8 Lasarzik, Robert
8 Seleson, Pablo
8 Silling, Stewart A.
8 You, Huaiqian
7 Mehrmann, Volker
7 Wang, Wansheng
7 Zhang, Jiwei
6 Jüngel, Ansgar
6 Liao, HongLin
6 Tian, Xiaochuan
5 Gutman, Semion
5 Ha, Junhong
5 Javili, Ali
5 Jha, Prashant Kumar
5 Ju, Lili
5 Parks, Michael L.
5 Wang, Hong
4 Aksoylu, Burak
4 Bellido, José Carlos
4 Coclite, Giuseppe Maria
4 Layton, William J.
4 Maddalena, Francesco
4 McBride, Andrew T.
4 Mora-Corral, Carlos
4 Nie, Yufeng
4 Scott, James M.
4 Shojaei, Arman
4 Stefanelli, Ulisse
4 Steinmann, Paul
4 Thalhammer, Mechthild
4 Yuldasheva, Asal V.
4 Zhang, Zhimin
3 Alali, Bacim
3 Barbeiro, Sílvia
3 Celiker, Fatih
3 Coclite, Alessandro
3 Cyron, Christian Johannes
3 del Teso, Félix
3 Eikmeier, André
3 Ferreira, José Augusto
3 Hermann, Alexander
3 Jorge da Silva, Marcio Antonio
3 Kruse, Raphael
3 Lehoucq, Richard B.
3 Lopez, Luciano
3 Luan, Vu Thai
3 Mao, Mengli
3 Narciso, Vando
3 Ostermann, Alexander
3 Pellegrino, Sabrina Francesca
3 Pinto, Linu
3 Rang, Joachim
3 Rhoudaf, Mohamed
3 Shon, Sudeok
3 Šiška, David
3 Trask, Nathaniel A.
3 Weckner, Olaf
3 Yang, Mengna
3 Zhang, Xiaoping
3 Zheng, Chunxiong
3 Zhou, Kun
3 Zimmer, Christoph
2 Andreianov, Boris
2 Askari, Ebrahim
2 Bartosz, Krzysztof
2 Beyer, Horst Reinhard
2 Bhowmik, Samir Kumar
2 Bobaru, Florin
2 Borzì, Alfio
2 Bukal, Mario
2 Buryachenko, Valeriy A.
2 Coulombel, Jean-François
2 Cueto, Javier
2 DeCaria, Victor P.
2 D’Elia, Marta
2 Diehl, Patrick
2 Egger, Herbert
2 Eisenmann, Monika
2 Endal, Jørgen
2 Epton, Michael A.
2 Erkip, Albert Kohen
2 Essafi, Lakbir
2 Fan, Yiming
2 Fanizza, Giuseppe
2 Fuschi, Paolo
2 Gasiński, Leszek
2 González Andrade, Sergio
2 Gu, Xian-Ming
2 Hansen, Eskil
2 Hong, Jung-Wuk
2 Huang, Yi
2 Jakobsen, Espen Robstad
2 Ji, Bingquan
...and 410 more Authors
all top 5

Cited in 116 Serials

26 Computer Methods in Applied Mechanics and Engineering
13 Journal of Elasticity
12 Journal of Computational Physics
11 SIAM Journal on Numerical Analysis
10 Applied Numerical Mathematics
8 Computers & Mathematics with Applications
8 Journal of Scientific Computing
8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
7 Journal of Mathematical Analysis and Applications
7 BIT
7 Journal of Computational and Applied Mathematics
7 Computational Mechanics
7 Numerical Methods for Partial Differential Equations
7 SIAM Journal on Mathematical Analysis
6 Mathematics of Computation
6 Applied Mathematics and Computation
6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
6 Numerische Mathematik
6 SIAM Journal on Scientific Computing
6 Mathematics and Mechanics of Solids
5 ZAMP. Zeitschrift für angewandte Mathematik und Physik
5 SIAM Journal on Control and Optimization
5 Foundations of Computational Mathematics
4 Advances in Computational Mathematics
4 Computational Methods in Applied Mathematics
4 Multiscale Modeling & Simulation
3 Journal of the Mechanics and Physics of Solids
3 International Journal for Numerical Methods in Engineering
3 Journal of Differential Equations
3 Discrete and Continuous Dynamical Systems
3 Communications in Nonlinear Science and Numerical Simulation
3 Journal of Evolution Equations
3 Discrete and Continuous Dynamical Systems. Series B
3 International Journal of Numerical Analysis and Modeling
3 Communications in Computational Physics
2 Applicable Analysis
2 Archive for Rational Mechanics and Analysis
2 Computers and Fluids
2 Journal of Mathematical Physics
2 Mathematical Methods in the Applied Sciences
2 Nonlinearity
2 Applied Mathematics and Optimization
2 Calcolo
2 Journal of the Korean Mathematical Society
2 Numerical Functional Analysis and Optimization
2 Acta Applicandae Mathematicae
2 SIAM Journal on Matrix Analysis and Applications
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Journal of Dynamics and Differential Equations
2 Continuum Mechanics and Thermodynamics
2 Calculus of Variations and Partial Differential Equations
2 Computational and Applied Mathematics
2 Differential Equations and Dynamical Systems
2 Vietnam Journal of Mathematics
2 Lobachevskii Journal of Mathematics
2 Communications on Pure and Applied Analysis
2 Journal of Applied Mathematics and Computing
2 Stochastic and Partial Differential Equations. Analysis and Computations
2 Communications on Applied Mathematics and Computation
2 Advances in Continuous and Discrete Models
1 Computer Physics Communications
1 International Journal for Numerical Methods in Fluids
1 International Journal of Solids and Structures
1 Reports on Mathematical Physics
1 Journal of Functional Analysis
1 Journal of Optimization Theory and Applications
1 Mechanics Research Communications
1 Monatshefte für Mathematik
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Results in Mathematics
1 Optimal Control Applications & Methods
1 Systems & Control Letters
1 Journal of Computational Mathematics
1 Applied Mathematics Letters
1 MCSS. Mathematics of Control, Signals, and Systems
1 Journal of Integral Equations and Applications
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 Elemente der Mathematik
1 SIAM Review
1 Stochastic Processes and their Applications
1 SIAM Journal on Optimization
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Computational Optimization and Applications
1 Numerical Linear Algebra with Applications
1 Engineering Analysis with Boundary Elements
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
1 Computational Geosciences
1 Journal of Dynamical and Control Systems
1 Communications in Contemporary Mathematics
1 Qualitative Theory of Dynamical Systems
1 Differential Equations
1 Nonlinear Functional Analysis and Applications
1 Mediterranean Journal of Mathematics
1 Acta Numerica
1 Boundary Value Problems
1 Complex Variables and Elliptic Equations
1 Networks and Heterogeneous Media
...and 16 more Serials

Citations by Year

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