Object Reservoir, Inc.

Stuart W Pond, Jr

Edward Barragy

A method for solving finite element problems in n+1 dimensions by iteratively extruding an n-dimensional finite element mesh in an n+1th dimension to form 'slabs' which can be more easily solved within the entire n+1-dimensional problem. In a preferred embodiment, a three-dimensional unstructured finite element mesh representing a physical system is extruded in the time dimension. The four-dimensional prisms formed by the extrusion are divided into simplices, forming the four-dimensional finite element mesh of an individual time slab. Time slabs corresponding to a series of time intervals are sequentially generated and solved. In a preferred embodiment, only a few time slabs are stored in working memory at a time so that a reduced amount of memory (in comparison to conventional methods of solving comparable problems) is required.

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Cincinatti, OH, United States of America

Stuart W Pond, Jr