Concurrent E-I Algorithm in Structural Dynamics

by E. D. Sotelino, (A.M.ASCE), Purdue Univ, West Lafayette, United States,



Document Type: Proceeding Paper

Part of: Computing in Civil Engineering

Abstract:

A concurrent explicit-implicit algorithm for time integration of the differential equations arising from a finite element discretization is described. The first step of the method consists of partitioning the finite element mesh into subdomains. As a consequence of this partition, the nodes in the resulting mesh form two distinct sets: interior nodes and interface nodes. Once these sets of nodes are identified, the method proceeds by integrating the interface nodes explicitly, and the interior nodes implicitly. Since the interior nodes in a specific subdomain are not shared by any other subdomain, they can be integrated independently. As a direct consequence, concurrency is introduced. Thus, this algorithm is very well suited from implementation in parallel computers. In addition to this feature, the concurrent explicit-implicit algorithm is also expected to speed-up computations, even on a sequential computer, by reducing the equation solving effort. Numerical examples are presented to illustrate the method.

Subject Headings: Finite element method | Algorithms | Computing in civil engineering | Structural dynamics | Differential equations | Numerical methods | Numerical analysis

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