102 citations · 246 across the 25 of their papers we have counts for
8 papers · 1 filter
Efficient prediction of static and dynamical responses of functional graded beams using sparse multiscale patches
Thien Tran-Duc, J. E. Bunder, A. J. Roberts
We develop a multiscale patch scheme for studying the system level characteristics of heterogeneous functional graded beams. The algorithm computes the detailed beam dynamics on th…
Learning high-order spatial discretisations of PDEs with symmetry-preserving iterative algorithms
J. E. Bunder, A. J. Roberts
Common techniques for the spatial discretisation of PDEs on a macroscale grid include finite difference, finite elements and finite volume methods. Such methods typically impose as…
Adaptively detect and accurately resolve macro-scale shocks in an efficient Equation-Free multiscale simulation
John Maclean, J. E. Bunder, I. G. Kevrekidis +1
The Equation-Free approach to efficient multiscale numerical computation marries trusted micro-scale simulations to a framework for numerical macro-scale reduction -- the patch dyn…
Equation-free patch scheme for efficient computational homogenisation via self-adjoint coupling
J. E. Bunder, I. G. Kevrekidis, A. J. Roberts
Equation-free macroscale modelling is a systematic and rigorous computational methodology for efficiently predicting the dynamics of a microscale system at a desired macroscale sys…
Nonlinear emergent macroscale PDEs, with error bound, for nonlinear microscale systems
J. E. Bunder, A. J. Roberts
Many physical systems are formulated on domains which are relatively large in some directions but relatively thin in other directions. We expect such systems to have emergent struc…
Accuracy of patch dynamics with mesoscale temporal coupling for efficient exascale simulation
J. E. Bunder, A. J. Roberts, I. G. Kevrekidis
Massive parallelisation has lead to a dramatic increase in available computational power. However, data transfer speeds have failed to keep pace and are the major limiting factor i…