Publication | Closed Access
The maximum principle for bilinear elements
44
Citations
2
References
1984
Year
Integral GeometryNumerical AnalysisMathematical ProgrammingFinite Element MethodEngineeringIsogeometric AnalysisMethod Of Fundamental SolutionNorm (Mathematics)Sufficient ConditionsExtremal CombinatoricsMaximum PrincipleComputational MechanicsFunctional AnalysisBoundary Element MethodFinite Element DiscretizationsNumerical Method For Partial Differential Equation
Abstract It is demonstrated that finite element discretizations may not, in general, satisfy the maximum principle; and sufficient conditions are presented to guarantee that solutions based on bilinear elements do satisfy the maximum principle.
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