TY - JOUR
T1 - Discrete Maximum Principles for FEM Solutions of Some Nonlinear Elliptic Interface Problems
AU - Karátson , J.
AU - Korotov , S.
JO - International Journal of Numerical Analysis and Modeling
VL - 1
SP - 1
EP - 16
PY - 2009
DA - 2009/06
SN - 6
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/753.html
KW - Nonlinear elliptic problem, interface problem, maximum principle, discrete maximum principle, finite element method, simplicial mesh.
AB - <p style="text-align: justify;">Discrete maximum principles are proved for finite element discretizations of nonlinear elliptic interface problems with jumps of the normal
derivatives. The geometric conditions in the case of simplicial meshes are suitable acuteness or nonobtuseness properties.</p>