TY - JOUR
T1 - A Reduced Finite Element Formulation for Space Fractional Partial Differential Equation
JO - East Asian Journal on Applied Mathematics
VL - 4
SP - 678
EP - 696
PY - 2018
DA - 2018/10
SN - 8
DO - http://doi.org/10.4208/eajam.090418.200618
UR - https://global-sci.org/intro/article_detail/eajam/12814.html
KW - Proper orthogonal decomposition, finite element method, space fractional partial differential equation.
AB - <p style="text-align: justify;">A framework for solving space fractional partial differential equations by reduced
finite element methods is proposed. In particular, we construct reduced bases,
study their properties and use them in numerical schemes. The stability and convergence
of these methods are investigated. Two numerical examples show that such an
approach has a high efficiency and a low computational cost.</p>