L.P. Franca

2.2k total citations
24 papers, 1.6k citations indexed

About

L.P. Franca is a scholar working on Computational Mechanics, Computational Theory and Mathematics and Mechanics of Materials. According to data from OpenAlex, L.P. Franca has authored 24 papers receiving a total of 1.6k indexed citations (citations by other indexed papers that have themselves been cited), including 20 papers in Computational Mechanics, 9 papers in Computational Theory and Mathematics and 7 papers in Mechanics of Materials. Recurrent topics in L.P. Franca's work include Advanced Numerical Methods in Computational Mathematics (19 papers), Advanced Mathematical Modeling in Engineering (8 papers) and Computational Fluid Dynamics and Aerodynamics (7 papers). L.P. Franca is often cited by papers focused on Advanced Numerical Methods in Computational Mathematics (19 papers), Advanced Mathematical Modeling in Engineering (8 papers) and Computational Fluid Dynamics and Aerodynamics (7 papers). L.P. Franca collaborates with scholars based in United States, Brazil and Italy. L.P. Franca's co-authors include Thomas J.R. Hughes, A. Russo, M. Mallet, Franco Brezzi, Frédéric Valentin, A. Nesliturk, Martin Stynes, John E. Dolbow, Farzin Shakib and Zdeněk Johan and has published in prestigious journals such as Computer Methods in Applied Mechanics and Engineering, International Journal for Numerical Methods in Engineering and Computers & Mathematics with Applications.

In The Last Decade

L.P. Franca

23 papers receiving 1.5k citations

Peers

L.P. Franca

CTM

EEE

Miloslav Feistauer Czechia

Vít Dolejší Czechia

Emmanuil H. Georgoulis United Kingdom

Farzin Shakib United States

Hongxing Rui China

Johnny Guzmán United States

Slimane Adjerid United States

Houde Han China

Murli M. Gupta United States

Martin Vohralı́k France

Miloslav Feistauer Czechia

L.P. Franca

1.6k ×1.1

596 ×0.8

CTM

379 ×0.6

607 ×2.2

195 ×1.3

EEE

Citations per year, relative to L.P. Franca L.P. Franca (= 1×) peers Miloslav Feistauer

Countries citing papers authored by L.P. Franca

Since Specialization

Citations

This map shows the geographic impact of L.P. Franca's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by L.P. Franca with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites L.P. Franca more than expected).

Fields of papers citing papers by L.P. Franca

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by L.P. Franca. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by L.P. Franca. The network helps show where L.P. Franca may publish in the future.

Co-authorship network of co-authors of L.P. Franca

This figure shows the co-authorship network connecting the top 25 collaborators of L.P. Franca. A scholar is included among the top collaborators of L.P. Franca based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with L.P. Franca. L.P. Franca is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Coutinho, Álvaro L. G. A., L.P. Franca, & Frédéric Valentin. (2011). Numerical multiscale methods. International Journal for Numerical Methods in Fluids. 70(4). 403–419. 8 indexed citations

Dolbow, John E. & L.P. Franca. (2008). Residual-free bubbles for embedded Dirichlet problems. Computer Methods in Applied Mechanics and Engineering. 197(45-48). 3751–3759. 43 indexed citations

Franca, L.P., et al.. (2005). Enriched finite element methods for unsteady reaction–diffusion problems. Communications in Numerical Methods in Engineering. 22(6). 619–625. 24 indexed citations

Harari, Isaac, Sérgio Frey, & L.P. Franca. (2002). A note on a recent study of stabilized finite element computations for heat conduction. Computational Mechanics. 28(1). 63–65. 6 indexed citations

Franca, L.P. & Frédéric Valentin. (2000). On an improved unusual stabilized finite element method for the advective–reactive–diffusive equation. Computer Methods in Applied Mechanics and Engineering. 190(13-14). 1785–1800. 147 indexed citations

Franca, L.P. & A. Russo. (2000). Recovering SUPG using Petrov–Galerkin formulations enriched with adjoint residual-free bubbles. Computer Methods in Applied Mechanics and Engineering. 182(3-4). 333–339. 10 indexed citations

Franca, L.P., A. Nesliturk, & Martin Stynes. (1998). On the stability of residual-free bubbles for convection-diffusion problems and their approximation by a two-level finite element method. Computer Methods in Applied Mechanics and Engineering. 166(1-2). 35–49. 87 indexed citations

Brezzi, Franco, L.P. Franca, & A. Russo. (1998). Further considerations on residual-free bubbles for advective-diffusive equations. Computer Methods in Applied Mechanics and Engineering. 166(1-2). 25–33. 107 indexed citations

Brezzi, Franco, L.P. Franca, Thomas J.R. Hughes, & A. Russo. (1997). $b=\int g$. Computer Methods in Applied Mechanics and Engineering. 145. 329–339. 169 indexed citations

10.

Brezzi, Franco, L.P. Franca, Thomas J.R. Hughes, & A. Russo. (1997). b = ∝ g. Computer Methods in Applied Mechanics and Engineering. 145(3-4). 329–339. 212 indexed citations

11.

Franca, L.P. & A. Russo. (1997). Unlocking with residual-free bubbles. Computer Methods in Applied Mechanics and Engineering. 142(3-4). 361–364. 37 indexed citations

12.

Franca, L.P. & A. Russo. (1996). Deriving upwinding, mass lumping and selective reduced integration by residual-free bubbles. Applied Mathematics Letters. 9(5). 83–88. 88 indexed citations

13.

Franca, L.P. & A. Russo. (1996). Approximation of the Stokes problem by residual-free macro bubbles. OpenGrey (Institut de l'Information Scientifique et Technique). 4(4). 265–278. 35 indexed citations

14.

Hughes, John & L.P. Franca. (1989). Some new classes of mixed finite element methods. 135–156.

15.

Franca, L.P.. (1989). An algorithm to compute the square root of a 3 × 3 positive definite matrix. Computers & Mathematics with Applications. 18(5). 459–466. 25 indexed citations

16.

Loula, Abimael F. D., Isidoro Miranda, Thomas J.R. Hughes, & L.P. Franca. (1989). On mixed finite element methods for axisymmetric shell analysis. Computer Methods in Applied Mechanics and Engineering. 72(2). 201–231. 12 indexed citations

17.

Hughes, Thomas J.R. & L.P. Franca. (1988). ライスナー,ミンドリン平板理論に関する混合有限要素定式化全高次空間の一様収束. Computer Methods in Applied Mechanics and Engineering. 67(2). 223–240. 38 indexed citations

18.

Hughes, Thomas J.R., L.P. Franca, Gregory M. Hulbert, Zdeněk Johan, & Farzin Shakib. (1988). The Galerkin/least-squares method for advective-diffusive equations. 95. 75–99. 64 indexed citations

19.

Franca, L.P., Isaac Harari, M. Mallet, et al.. (1986). A Petrov-Galerkin finite element method for the compressible Euler and Navier-Stokes equations. 78. 19–43. 6 indexed citations

20.

Hughes, Thomas J.R., L.P. Franca, & M. Mallet. (1986). 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. Computer Methods in Applied Mechanics and Engineering. 54(2). 223–234. 393 indexed citations

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