Add to ORKGAbstract. We consider a 1D periodic atomistic model, for which we formulate and analyze an adaptive variant of a quasicontinuum method. We establish a posteriori error estimates for the energy norm and for the energy, based on a posteriori residual and stability estimates. We formulate adaptive mesh refinement algorithms based on these error estimators. Our numerical experiments indicate optimal convergence rates of these algorithms. 1
In this paper, we develop the residual based a posteriori error estimates and the corresponding adap...
We present a strategy for adaptive error control for the quasi-continuum (QC) method applied to mole...
The quasicontinuum method is a coarse-graining technique for reducing the complexity of atomistic si...
Abstract. We consider a 1D periodic atomistic model, for which we formulate and analyze an adaptive ...
We consider a one-dimensional periodic atomistic model, for which we formulate and analyse an adapti...
The quasicontinuum (QC) method is a coarse-graining technique for reducing the complexity of atomist...
The present thesis is on the error estimates of different energy based quasicontinuum (QC) methods, ...
Abstract. We present a posteriori error estimates for a recently developed atomistic/continuum coupl...
Abstract. We give a goal-oriented a posteriori error estimator for the atomistic-continuum modeling ...
The quasicontinuum method is a coarse-graining technique for reducing the complexity of atomistic si...
We derive a priori error estimates for three prototypical energy-based quasicontinuum (QC) methods: ...
Abstract. The quasicontinuum method is a coarse-graining technique for reducing the complexity of at...
For a next-nearest neighbour pair interaction model in a periodic domain, a priori and a posteriori ...
The force-based quasicontinuum (QCF) approximation is a non-conservative atomistic/continuum hybrid ...
Atomistic/continuum coupling methods aim to achieve optimal balance between accuracy and efficiency....
In this paper, we develop the residual based a posteriori error estimates and the corresponding adap...
We present a strategy for adaptive error control for the quasi-continuum (QC) method applied to mole...
The quasicontinuum method is a coarse-graining technique for reducing the complexity of atomistic si...
Abstract. We consider a 1D periodic atomistic model, for which we formulate and analyze an adaptive ...
We consider a one-dimensional periodic atomistic model, for which we formulate and analyse an adapti...
The quasicontinuum (QC) method is a coarse-graining technique for reducing the complexity of atomist...
The present thesis is on the error estimates of different energy based quasicontinuum (QC) methods, ...
Abstract. We present a posteriori error estimates for a recently developed atomistic/continuum coupl...
Abstract. We give a goal-oriented a posteriori error estimator for the atomistic-continuum modeling ...
The quasicontinuum method is a coarse-graining technique for reducing the complexity of atomistic si...
We derive a priori error estimates for three prototypical energy-based quasicontinuum (QC) methods: ...
Abstract. The quasicontinuum method is a coarse-graining technique for reducing the complexity of at...
For a next-nearest neighbour pair interaction model in a periodic domain, a priori and a posteriori ...
The force-based quasicontinuum (QCF) approximation is a non-conservative atomistic/continuum hybrid ...
Atomistic/continuum coupling methods aim to achieve optimal balance between accuracy and efficiency....
In this paper, we develop the residual based a posteriori error estimates and the corresponding adap...
We present a strategy for adaptive error control for the quasi-continuum (QC) method applied to mole...
The quasicontinuum method is a coarse-graining technique for reducing the complexity of atomistic si...