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The Algebraic Formulation: Why and How to Use it

100%

Ferretti E.

Curved and Layered Structures

2015

tom 2

nr 1

Finite Element, Boundary Element, Finite Volume, and Finite Difference Analysis are all commonly used in nearly all engineering disciplines to simplify complex problems of geometry and change, but they all tend to oversimplify. This paper shows a more recent computational approach developed initially for problems in solid mechanics and electro-magnetic field analysis. It is an algebraic approach, and it offers a more accurate representation of geometric and topological features.

The Cell Method: An Overview on the Main Features

100%

Ferretti E.

Curved and Layered Structures

2015

tom 2

nr 1

The Cell Method (CM) is a computational tool that maintains critical multi-dimensional attributes of physical phenomena in analysis. This information is neglected in the differential formulations of the classical approaches of finite element, boundary element, finite volume, and finite difference analysis, often leading to numerical instabilities and spurious results. This paper highlights the central theoretical concepts of the CM that preserve a more accurate and precise representation of the geometric and topological features of variables for practical problem solving. Important applications occur in fields such as electromagnetics, electrodynamics, solid mechanics and fluids. CM addresses non-locality in continuum mechanics, an especially important circumstance in modelling heterogeneous materials.

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2 Curved and Layered Structures

2 Ferretti E.

2 2015

Wyniki wyszukiwania

The Algebraic Formulation: Why and How to Use it

The Cell Method: An Overview on the Main Features