1979/01/01 by V. Pavlin, N. Perrone, Nicholas Perrone · 23 citations
Engineering · Mathematics · #Applied mathematics #Composite Structure Analysis and Optimization #Computer science #Energy (signal processing) #Engineering #Finite difference #Finite difference coefficient #Finite difference method #Finite element method #Geometry #Mathematical analysis #Mathematical optimization #Mathematics #Mixed finite element method #Partial differential equation #Polygon mesh #Set (abstract data type) #Structural Load-Bearing Analysis #Structural engineering #Vibration and Dynamic Analysis
paper · doi:10.1002/nme.1620140503
published in International Journal for Numerical Methods in Engineering 14(5), 647-664 (Wiley)
openalex publication_date 1979/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/26
Abstract A new energy based finite difference analytical technique is introduced. The method incorporates certain energy concepts and the ability to use arbitrary, irregular meshes within the framework of the Finite Difference Method. This formulation reduces any governing partial differential equations to a set of difference equations containing partial derivatives up to and including the second order. Further, certain strong similarities with the popular Finite Element Method are shown and the ability to solve problems with irregular boundaries is discussed. To demonstrate the Finite Difference Energy Method several plate bending problems are solved.