Author | M. W. Beall and M. S. Shephard |
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Title | A Geometry-Based Framework for Reliable Numerical Simulations |

Year | 1997 |

Abstract | The computer modeling of a physical problem can be seen as a series of idealizations, each of which introduces errors into the solution as compared to the solution of the initial problem. Since these idealizations are introduced to make solving the problem tractable (due to constraints on either problem size and/or solution time), it is necessary to understand their effect on the solution obtained and to have procedures to reduce the errors to an acceptable level with respect to the reason the analysis is being performed. Understanding the effects of idealizations requires a more complete definition of the problem than is typically used in numerical analysis procedures. In particular it is necessary to have a complete geometric description of the original domain and have the rest of the problem defined in terms of that geometry. This paper provides an overview of an object oriented analysis framework which operates directly off a geometry-based problem specification to support adaptive procedures. |

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