Calhoun: The Naval Postgraduate School Institutional Archive (Naval Postgraduate School) · 1983 · 29 citations · 0 references
Open access
ComputingComputational EngineeringComputational MechanicsFinite Element AnalysisFinite Element MethodsError EstimationFinite Element DiscretizationFinite Element FormulationDiscretizationDiscretization ErrorDiscretization Error AnalysisFinite Element ModelingGrid DiscretizationGrid OptimizationGrid Refinement Techniques
Abstract : Since widespread use of the finite element method began in the early 1960's, much effort has been devoted to the development of the method itself, while only recently has there been any research directed at minimizing the discretization error by a proper selection of the element grid. This paper examines some recently proposed grid optimization techniques and applies them to some one- and two-dimensional linear self-adjoint boundary value problems. Guidelines requiring minimal software modification are recommended to assist the analyst in obtaining improved finite element solutions. (Author)