A-posteriori error estimation for a Boltzmann-type equation

Conference paper (2009)

Authors

W. Hoitinga Old organisation Engineering Mechanics

EH van Brummelen Old organisation Engineering Mechanics , Fluid Mechanics - Mechanical, Maritime and Materials Engineering

R de Borst Old organisation Engineering Mechanics

Research Group

Old organisation Engineering Mechanics

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Published Date

2009

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Research Group

Old organisation Engineering Mechanics

Abstract

This article presents a one-dimensional prototype for the Boltzmann equation and describes how to obtain the corresponding dual problem. The solution of the dual problem provides refinement indicators which in turn are used to improve the accuracy of finite-element approximations for a predefined goal functional.