Christoph Ortner

According to our database1, Christoph Ortner authored at least 38 papers between 2006 and 2020.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.



In proceedings 
PhD thesis 


Online presence:



Sharp Uniform Convergence Rate of the Supercell Approximation of a Crystalline Defect.
SIAM J. Numer. Anal., 2020

A Posteriori Error Estimates for Adaptive QM/MM Coupling Methods.
CoRR, 2020

The Effect of Crystal Symmetries on the Locality of Screw Dislocation Cores.
SIAM J. Math. Anal., 2019

Approximation of Potential Energy Surfaces with Spherical Harmonics.
CoRR, 2019

Modeling and Computation of Kubo Conductivity for 2D Incommensurate Bilayers.
CoRR, 2019

Force-based atomistic/continuum blending for multilattices.
Numerische Mathematik, 2018

Incommensurate Heterostructures in Momentum Space.
Multiscale Model. Simul., 2018

Convergence and Cycling in Walker-type Saddle Search Algorithms.
SIAM J. Numer. Anal., 2017

Electronic Density of States for Incommensurate Layers.
Multiscale Model. Simul., 2017

QM/MM Methods for Crystalline Defects. Part 2: Consistent Energy and Force-Mixing.
Multiscale Model. Simul., 2017

Analysis of a Predictor-Corrector Method for Computationally Efficient Modeling of Surface Effects in 1D.
Multiscale Model. Simul., 2017

Atomistic/Continuum Blending with Ghost Force Correction.
SIAM J. Sci. Comput., 2016

Analysis of blended atomistic/continuum hybrid methods.
Numerische Mathematik, 2016

A dimer-type saddle search algorithm with preconditioning and linesearch.
Math. Comput., 2016

QM/MM Methods for Crystalline Defects. Part 1: Locality of the Tight Binding Model.
Multiscale Model. Simul., 2016

Analysis of Stable Screw Dislocation Configurations in an Antiplane Lattice Model.
SIAM J. Math. Anal., 2015

An Approach to Nonlinear Viscoelasticity via Metric Gradient Flows.
SIAM J. Math. Anal., 2014

(In-)stability and Stabilization of QNL-Type Atomistic-to-Continuum Coupling Methods.
Multiscale Model. Simul., 2014

Analysis of an energy-based atomistic/continuum approximation of a vacancy in the 2D triangular lattice.
Math. Comput., 2013

Atomistic-to-Continuum Coupling Approximation of a One-Dimensional Toy Model for Density Functional Theory.
Multiscale Model. Simul., 2013

Symmetries of 2-Lattices and Second Order Accuracy of the Cauchy-Born Model.
Multiscale Model. Simul., 2013

Atomistic-to-continuum coupling.
Acta Numer., 2013

Construction and Sharp Consistency Estimates for Atomistic/Continuum Coupling Methods with General Interfaces: A Two-Dimensional Model Problem.
SIAM J. Numer. Anal., 2012

Positive Definiteness of the Blended Force-Based Quasicontinuum Method.
Multiscale Model. Simul., 2012

The Spectrum of the Force-Based Quasicontinuum Operator for a Homogeneous Periodic Chain.
Multiscale Model. Simul., 2012

On the Convergence of Adaptive Nonconforming Finite Element Methods for a Class of Convex Variational Problems.
SIAM J. Numer. Anal., 2011

Robust A Priori and A Posteriori Error Analysis for the Approximation of Allen-Cahn and Ginzburg-Landau Equations Past Topological Changes.
SIAM J. Numer. Anal., 2011

A priori error estimates for optimal control problems with pointwise constraints on the gradient of the state.
Numerische Mathematik, 2011

A priori error analysis of two force-based atomistic/continuum models of a periodic chain.
Numerische Mathematik, 2011

A priori and a posteriori analysis of the quasinonlocal quasicontinuum method in 1D.
Math. Comput., 2011

An Adaptive Finite Element Approximation of a Variational Model of Brittle Fracture.
SIAM J. Numer. Anal., 2010

Convergence of simple adaptive Galerkin schemes based on <i>h</i> - <i>h</i>/2 error estimators.
Numerische Mathematik, 2010

Sharp Stability Estimates for the Force-Based Quasicontinuum Approximation of Homogeneous Tensile Deformation.
Multiscale Model. Simul., 2010

Analysis of a Class of Penalty Methods for Computing Singular Minimizers.
Comput. Methods Appl. Math., 2010

A Posteriori Existence in Numerical Computations.
SIAM J. Numer. Anal., 2009

An Analysis of Node-Based Cluster Summation Rules in the Quasicontinuum Method.
SIAM J. Numer. Anal., 2009

Discontinuous Galerkin Finite Element Approximation of Nonlinear Second-Order Elliptic and Hyperbolic Systems.
SIAM J. Numer. Anal., 2007

Gradient Flows as a Selection Procedure for Equilibria of Nonconvex Energies.
SIAM J. Math. Anal., 2006