TY - JOUR
T1 - Convergence Analysis of Stochastic Collocation Methods for Maxwell Equations with Random Inputs
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 3
SP - 824
EP - 844
PY - 2019
DA - 2019/04
SN - 12
DO - http://doi.org/10.4208/nmtma.OA-2018-0023
UR - https://global-sci.org/intro/article_detail/nmtma/13132.html
KW - Maxwell equations, convergence analysis, stochastic collocation methods, Lagrange
interpolation, regularity.
AB - <p style="text-align: justify;">In this paper, we consider a stochastic collocation method for the Maxwell
equations with random inputs. We first verify the regularity of the solutions for the
model problem, which depends on the random dielectric constant, random magnetic
permeability and the initial and boundary data. Then the convergence of our numerical
approach is proved. Further some numerical examples are presented to support the
analysis.</p>