L
Leopoldo P. Franca
Researcher at University of Colorado Denver
Publications - 82
Citations - 10668
Leopoldo P. Franca is an academic researcher from University of Colorado Denver. The author has contributed to research in topics: Finite element method & Galerkin method. The author has an hindex of 39, co-authored 82 publications receiving 10177 citations. Previous affiliations of Leopoldo P. Franca include Stanford University & National Council for Scientific and Technological Development.
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A new finite element formulation for computational fluid dynamics: V. Circumventing the Babuscka-Brezzi condition: A stable Petrov-Galerkin formulation of
TL;DR: A new Petrov-Galerkin formulation of the Stokes problem is proposed in this paper, which possesses better stability properties than the classical Galerkin/variational method.
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A new finite element formulation for computational fluid dynamics: VIII. The galerkin/least-squares method for advective-diffusive equations
TL;DR: Galerkin/least-squares finite element methods for advective-diffusive equations are presented in this paper, and a convergence analysis and error estimates are presented.
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Stabilized finite element methods. II: The incompressible Navier-Stokes equations
Leopoldo P. Franca,Sérgio Frey +1 more
TL;DR: Stabilized methods are proposed and analyzed for a linearized form of the incompressible Navier-Stokes equations, allowing any combination of velocity and continuous pressure interpolations and generalizing previous works restricted to low-order interpolations.
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Stabilized finite element methods. I: Application to the advective-diffusive model
TL;DR: In this article, a review of stabilized finite element methods for the Navier-Stokes problem is presented, and a global convergence analysis is presented and numerical experiments are performed, and the design of the stability parameter is confirmed to be a crucial ingredient for simulating the advective-diffusive model, and improved possibilities are suggested.
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A new finite element formulation for computational fluid dynamics: I. Symmetric forms of the compressible Euler and Navier—Stokes equations and the second law of thermodynamics
TL;DR: In this article, the results of Harten and Tadmor are generalized to the compressible Navier-Stokes equations including heat conduction effects and a symmetric form of the equations is derived in terms of entropy variables.