13 citations · 28 across the 7 of their papers we have counts for
7 papers
A Dilation-based Seamless Multiscale Method For Elliptic Problems
Ziheng Chen, Björn Engquist
Many numerical methods for multiscale differential equations require a scale separation between the larger and the smaller scales to achieve accuracy and computational efficiency.…
On the nature of the boundary resonance error in numerical homogenization and its reduction
Sean P. Carney, Milica Dussinger, Bjorn Engquist
Numerical homogenization of multiscale equations typically requires taking an average of the solution to a microscale problem. Both the boundary conditions and domain size of the m…
Heterogeneous multiscale methods for rough-wall laminar viscous flow
Sean Carney, Björn Engquist
We develop numerical multiscale methods for viscous boundary layer flow. The goal is to derive effective boundary conditions, or wall laws, through high resolution simulations loca…
Fast integrators for dynamical systems with several temporal scales
Yoonsang Lee, Bjorn Engquist
We propose a fast integrator to a class of dynamical systems with several temporal scales. The proposed method is developed as an extension of the variable step size Heterogeneous…
Analysis of HMM for One Dimensional Wave Propagation Problems Over Long Time
Björn Engquist, Henrik Holst, Olof Runborg
Multiscale problems are computationally costly to solve by direct simulation because the smallest scales must be represented over a domain determined by the largest scales of the p…
Multi-scale methods for wave propagation in heterogeneous media
Bjorn Engquist, Henrik Holst, Olof Runborg
Multi-scale wave propagation problems are computationally costly to solve by traditional techniques because the smallest scales must be represented over a domain determined by the…