6533b7d5fe1ef96bd1264553

RESEARCH PRODUCT

Weakened acute type condition for tetrahedral triangulations and the discrete maximum principle

Michal Kř ížEkPekka NeittaanmäkiaSergey Korotov

subject

Dirichlet problemAlgebra and Number TheoryDiscretizationApplied MathematicsMathematical analysisDomain (mathematical analysis)Piecewise linear functionComputational Mathematicssymbols.namesakeMaximum principleDirichlet boundary conditionsymbolsBoundary value problemPoisson's equationMathematics

description

We prove that a discrete maximum principle holds for continuous piecewise linear finite element approximations for the Poisson equation with the Dirichlet boundary condition also under a condition of the existence of some obtuse internal angles between faces of terahedra of triangulations of a given space domain. This result represents a weakened form of the acute type condition for the three-dimensional case.

yearjournalcountryeditionlanguage
2000-05-23Mathematics of Computation
https://doi.org/10.1090/s0025-5718-00-01270-9