Semi-robust equal-order hybridized discontinuous methods
Xiaoqi Ma, Jin Zhang
TL;DR
This paper presents a unified analysis framework for equal-order hybridized discontinuous finite element methods, encompassing various existing methods and providing a comprehensive understanding of their properties.
Contribution
It introduces a general framework that unifies the analysis of multiple equal-order hybridized discontinuous finite element methods.
Findings
Unified analysis framework for HDG methods.
Coverage of standard, embedded, and hybridized methods.
Enhanced understanding of method properties.
Abstract
This paper introduces a unified analysis framework of equal-order hybridized discontinuous finite element (HDG) methods. The general framework covers standard HDG, embedded discontinuous finite element, and embedded-hybridized discontinuous finite element methods.
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Taxonomy
TopicsAdvanced Numerical Methods in Computational Mathematics · Numerical methods for differential equations · Numerical methods in engineering