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Computational Error Estimation
2001The strategy for choosing time steps and mesh sizes is dictated by the a posteriori nature of the global bounds given in Theorem III.1 and Theorem III.2 above. Ideally, an adaptive method should keep the global error below a prescribed tolerance. But global errors are difficult to estimate.
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On Weak Residual Error Estimation
SIAM Journal on Scientific Computing, 1996The author develops a general framework for weak residual error estimators applied to various types of boundary value problems in connection with finite element and finite volume approximations. The paper illustrates basic ideas commonly shared by various applications in error estimation and adaptive computation. Some numerical results are given.
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Errors, Recovery Processes, and Error Estimates
2005O.C. Zienkiewicz, R.L. Taylor, J.Z. Zhu
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