1 citations · 1 across the 4 of their papers we have counts for
5 papers
Linear Convergence of Parareal Algorithm for Semilinear Parabolic Equations
Guanglian Li, Qingle Lin, Shu-lin Wu +1
Long-time simulations of evolution equations present substantial computational challenges due to the inherently sequential nature of conventional time-stepping schemes. The pararea…
Optimized Two-Step Coarse Propagators in Parareal Algorithms
Guanglian Li, Qingle Lin, Kai Zhang +1
In this work, we propose a novel framework for accelerating the parareal algorithm, in which the coarse propagator is formulated as a two-step method and optimized with respect to…
Numerical homogenization for indefinite time-harmonic Maxwell equations
Yueqi Wang, Wing Tat Leung, Guanglian Li
We propose a novel numerical homogenization method based on the edge multiscale approach for solving indefinite time-harmonic Maxwell equations in heterogeneous media with large wa…
On the convergence analysis of MsFEM with oversampling: Interpolation error
Guanglian Li
In this paper, we investigate the approximation properties of two types of multiscale finite element methods with oversampling as proposed in [Hou \& Wu, {\textit{J. Comput. Phys.}…
On the Convergence Rates of GMsFEMs for Heterogeneous Elliptic Problems without Oversampling Techniques
Guanglian Li
This work is concerned with the rigorous analysis on the Generalized Multiscale Finite Element Methods (GMsFEMs) for elliptic problems with high-contrast heterogeneous coefficients…