6533b85afe1ef96bd12b8a47
RESEARCH PRODUCT
Acute Type Refinements of Tetrahedral Partitions of Polyhedral Domains
Michal KrizekSergey Korotovsubject
Numerical AnalysisApplied MathematicsDomain decomposition methodsAngle conditionFinite element methodCombinatoricsComputational MathematicsPolyhedronMaximum principleTetrahedronMathematics::Metric GeometryPartition (number theory)Circumscribed sphereMathematicsdescription
We present a new technique to perform refinements on acute type tetrahedral partitions of a polyhedral domain, provided that the center of the circumscribed sphere around each tetrahedron belongs to the tetrahedron. The resulting family of partitions is of acute type; thus, all the tetrahedra satisfy the maximum angle condition. Both these properties are highly desirable in finite element analysis.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2001-01-01 | SIAM Journal on Numerical Analysis |