An Outline Of Adaptive Computation: Theory, Implementation, And Applications *

. A general and unified framework for adaptive computation using the finite element method, finite volume method, and boundary element method is described. The theoretical concept of the framework is based on the weak residual error estimation proposed by J. Liu in SIAM J. Sci. Comput. Vol. 17, 1996. Implementation issues concerning error estimation, refinement strategies, mesh generation, object oriented programming, distributed and parallel algorithms, and the world wide web are briefly stated. The target applications under this framework are computational fluid mechanics, computational structural mechanics, and semiconductor device simulation. Key words. adaptivity, finite element, finite volume, boundary element, error estimation AMS subject classifications. 65N30, 65N12 1. Introduction. Adaptive computation is a trend in contemporary computational science [C3] [O1] [Z1]. The article briefly describes a general and unified framework for adaptive finite element (FE), finite volume..