Christoph Ortner
Title
Cited by
Cited by
Year
Existence of solutions to a regularized model of dynamic fracture
CJ Larsen, C Ortner, E Süli
Mathematical Models and Methods in Applied Sciences 20 (07), 1021-1048, 2010
1252010
An adaptive finite element approximation of a variational model of brittle fracture
S Burke, C Ortner, E Süli
SIAM Journal on Numerical Analysis 48 (3), 980-1012, 2010
1162010
Atomistic-to-continuum coupling
M Luskin, C Ortner
Acta Numerica 22, 397, 2013
1012013
Analysis of boundary conditions for crystal defect atomistic simulations
V Ehrlacher, C Ortner, AV Shapeev
Archive for Rational Mechanics and Analysis 222 (3), 1217-1268, 2016
92*2016
Compact embeddings of broken Sobolev spaces and applications
A Buffa, C Ortner
IMA journal of numerical analysis 29 (4), 827-855, 2009
882009
Stability, instability, and error of the force-based quasicontinuum approximation
M Dobson, M Luskin, C Ortner
Archive for Rational Mechanics and Analysis 197 (1), 179-202, 2010
792010
Analysis of a quasicontinuum method in one dimension
C Ortner, E Süli
ESAIM: Mathematical Modelling and Numerical Analysis-Modélisation …, 2008
78*2008
Quasi-static crack propagation by Griffith's criterion
M Negri, C Ortner
Mathematical Models and Methods in Applied Sciences 18 (11), 1895-1925, 2008
772008
Discontinuous Galerkin finite element approximation of nonlinear second-order elliptic and hyperbolic systems
C Ortner, E Süli
SIAM Journal on Numerical Analysis 45 (4), 1370-1397, 2007
722007
Accuracy of quasicontinuum approximations near instabilities
M Dobson, M Luskin, C Ortner
Journal of the Mechanics and Physics of Solids 58 (10), 1741-1757, 2010
672010
An adaptive finite element approximation of a generalized Ambrosio–Tortorelli functional
S Burke, C Ortner, E Süli
Mathematical Models and Methods in Applied Sciences 23 (09), 1663-1697, 2013
632013
A priori and a posteriori analysis of the quasinonlocal quasicontinuum method in 1D
C Ortner
Mathematics of computation 80 (275), 1265-1285, 2011
552011
Sharp stability estimates for the force-based quasicontinuum approximation of homogeneous tensile deformation
M Dobson, M Luskin, C Ortner
Multiscale Modeling & Simulation 8 (3), 782-802, 2010
512010
An analysis of node-based cluster summation rules in the quasicontinuum method
M Luskin, C Ortner
SIAM Journal on Numerical Analysis 47 (4), 3070-3086, 2009
512009
Formulation and optimization of the energy-based blended quasicontinuum method
M Luskin, C Ortner, B Van Koten
Computer Methods in Applied Mechanics and Engineering 253, 160-168, 2013
502013
Construction and sharp consistency estimates for atomistic/continuum coupling methods with general interfaces: A two-dimensional model problem
C Ortner, L Zhang
SIAM Journal on Numerical Analysis 50 (6), 2940-2965, 2012
482012
Convergence of simple adaptive Galerkin schemes based on hh/2 error estimators
S Ferraz-Leite, C Ortner, D Praetorius
Numerische Mathematik 116 (2), 291-316, 2010
442010
Analysis of an energy-based atomistic/continuum approximation of a vacancy in the 2D triangular lattice
C Ortner, A Shapeev
Mathematics of Computation 82 (284), 2191-2236, 2013
422013
On the stability of Bravais lattices and their Cauchy–Born approximations
T Hudson, C Ortner
ESAIM: Mathematical Modelling and Numerical Analysis 46 (1), 81-110, 2012
412012
The role of the patch test in 2D atomistic-to-continuum coupling methods
C Ortner
ESAIM: Mathematical Modelling and Numerical Analysis-Modélisation …, 2012
402012
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Articles 1–20