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- research-articleApril 2020
A fast Galerkin finite element method for a space–time fractional Allen–Cahn equation
Journal of Computational and Applied Mathematics (JCAM), Volume 368, Issue Chttps://doi.org/10.1016/j.cam.2019.112482AbstractIn this paper, a space–time fractional Allen–Cahn equation is investigated to account for the memory effect of certain materials or the anomalous diffusion processes in heterogeneous distributed media for the mixture of two immiscible ...
- articleAugust 2018
A Fast Discontinuous Galerkin Method for a Bond-Based Linear Peridynamic Model Discretized on a Locally Refined Composite Mesh
Journal of Scientific Computing (JSCI), Volume 76, Issue 2Pages 913–942https://doi.org/10.1007/s10915-018-0645-6We develop a family of fast discontinuous Galerkin (DG) finite element methods for a bond-based linear peridynamic (PD) model in one space dimension. More precisely, we develop a preconditioned fast piecewise-constant DG scheme on a geometrically graded ...