Concurrent explicit-implicit algorithm in structural dynamics

Journal Article · Fri Apr 01 04:00:00 EST 1994 · Computers and Structures

DOI:https://doi.org/10.1016/0045-7949(94)90048-5· OSTI ID:53455

Sotelino, E D ^[1]

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1. Purdue Univ., West Lafayette, IN (United States)

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 method is very well suited for 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. Some considerations on the conversion of an originally sequential finite element analysis program to implement this method are given. Numerical examples are presented to illustrate the method. 13 refs.

• OSTI ID: 53455
• Journal Information: Computers and Structures, Journal Name: Computers and Structures Journal Issue: 2 Vol. 51; ISSN 0045-7949; ISSN CMSTCJ
• Country of Publication: United States
• Language: English

Related Subjects

32 ENERGY CONSERVATION, CONSUMPTION, AND UTILIZATION
99 GENERAL AND MISCELLANEOUS
ALGORITHMS
DIFFERENTIAL EQUATIONS
FINITE ELEMENT METHOD
MECHANICAL STRUCTURES
MESH GENERATION
NUMERICAL SOLUTION
PARALLEL PROCESSING
STRESS ANALYSIS