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Full-Text Articles in Physical Sciences and Mathematics
Studies Of Dna Hybridization Reactions And Applications In Genetic Assays, Fidelis Manyanga
Studies Of Dna Hybridization Reactions And Applications In Genetic Assays, Fidelis Manyanga
Dissertations and Theses
The intent of this study was to investigate two fundamental aspects of short DNA duplex stability and how that stability differs for duplex molecules consisting of either all perfect match Watson/Crick base pairs or a mixture of perfect match Watson/Crick base pairs and mismatch base pairs. Theoretical and experimental investigations of the origins of the nucleation term in the free energy of DNA duplex formation were revisited. Thermodynamic parameters (ΔG, ΔH, Δ S and Tm) of short DNA/DNA duplexes ranging in length from 6 to 35 base pairs were systematically evaluated by Differential Scanning Calorimetry …
Unified Hybridization Of Discontinuous Galerkin, Mixed, And Continuous Galerkin Methods For Second Order Elliptic Problems, Bernardo Cockburn, Jay Gopalakrishnan, Raytcho Lazarov
Unified Hybridization Of Discontinuous Galerkin, Mixed, And Continuous Galerkin Methods For Second Order Elliptic Problems, Bernardo Cockburn, Jay Gopalakrishnan, Raytcho Lazarov
Mathematics and Statistics Faculty Publications and Presentations
We introduce a unifying framework for hybridization of finite element methods for second order elliptic problems. The methods fitting in the framework are a general class of mixed-dual finite element methods including hybridized mixed, continu- ous Galerkin, non-conforming and a new, wide class of hybridizable discontinuous Galerkin methods. The distinctive feature of the methods in this framework is that the only globally coupled degrees of freedom are those of an approximation of the solution defined only on the boundaries of the elements. Since the associated matrix is sparse, symmetric and positive definite, these methods can be efficiently implemented. Moreover, the …
The Derivation Of Hybridizable Discontinuous Galerkin Methods For Stokes Flow, Bernardo Cockburn, Jay Gopalakrishnan
The Derivation Of Hybridizable Discontinuous Galerkin Methods For Stokes Flow, Bernardo Cockburn, Jay Gopalakrishnan
Mathematics and Statistics Faculty Publications and Presentations
In this paper, we introduce a new class of discontinuous Galerkin methods for the Stokes equations. The main feature of these methods is that they can be implemented in an efficient way through a hybridization procedure which reduces the globally coupled unknowns to certain approximations on the element boundaries. We present four ways of hybridizing the methods, which differ by the choice of the globally coupled unknowns. Classical methods for the Stokes equations can be thought of as limiting cases of these new methods.