A Posteriori Error Estimates for HDG Methods |
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Authors: | Bernardo Cockburn Wujun Zhang |
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Affiliation: | 1.School of Mathematics,University of Minnesota,Minneapolis,USA |
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Abstract: | We present the first a posteriori error analysis of the so-called hybridizable discontinuous Galerkin (HDG) methods for second-order
elliptic problems. We show that the error in the flux can be controlled by only two terms. The first term captures the so-called
data oscillation. The second solely depends on the difference between the trace of the scalar approximation and the corresponding
numerical trace. Numerical experiments verifying the reliability and efficiency of the estimate in two-space dimensions are
presented. |
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Keywords: | |
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