TY - JOUR
T1 - Elliptic Problems in Curved Domains Using Cubature Points Based Triangular Spectral Elements and Isoparametric Mappings
AU - Pasquetti , Richard
JO - Journal of Mathematical Study
VL - 3
SP - 237
EP - 246
PY - 2020
DA - 2020/05
SN - 53
DO - http://doi.org/10.4208/jms.v53n3.20.01
UR - https://global-sci.org/intro/article_detail/jms/16918.html
KW - Spectral element method, triangular elements, curved domains, isoparametric mappings, cubature points, diagonal mass matrix.
AB - <p style="text-align: justify;">Using the cubature points based triangular spectral element method and
isoparametric mappings, we provide accuracy results for elliptic problems in non polygonal domains. Two regimes of convergence, associated to the bulk and to the boundary
of the computational domain are clearly discerned and an efficient way to define the
isoparametric mapping is proposed.</p>