Gabriel N. Gatica

Computational Mechanics · 2002–2020

A researcher in the Science corpus: 16 papers; trusts 17 researchers and is trusted by 22 researchers here, as inferred from the citation graph.

Subfields

• Computational Mechanics — 65 citations into it; #1,460 of 10,001 by trust here, #2,361 by citations
• Mechanics of Materials — 37 citations into it; #1,218 of 6,291 by trust here, #2,172 by citations
• Computational Theory and Mathematics — 36 citations into it; #3,019 of 12,182 by trust here, #4,531 by citations
• Numerical Analysis — 15 citations into it

Whom Gabriel N. Gatica trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Ivo Babuska
2. Philippe G. Ciarlet
3. Juan Galvis
4. Franco Brezzi
5. William J. Layton
6. Marco Discacciati
7. Alfio Maria Quarteroni
8. Salim Meddahi
9. Erik Burman
10. Marcus V. Sarkis

Who trusts Gabriel N. Gatica overall

1. Verónica Anaya
2. Marco Discacciati
3. Tomás P. Barrios
4. Paul Houston
5. Norbert Heuer
6. Flavio Cimolin
7. Wenbin Chen
8. Scott Congreve
9. Salim Meddahi
10. María González

Papers from Gabriel N. Gatica's perspective

Ordered by how strongly the researchers Gabriel N. Gatica trusts endorse each paper. Same corpus, a different order for every researcher.

1. Mathematical and numerical models for coupling surface and groundwater flows
2. A stabilized mixed finite element method for Darcy flow based on a multiscale decomposition of the solution
3. Solvability and Galerkin Approximations of a Class of Nonlinear Operator Equations
4. Least-Squares Finite Element Methods (Applied Mathematical Sciences)
5. Sobolev Spaces
6. The finite element method for elliptic problems (Classics in applied mathematics)
7. Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems (SIAM Journal on Numerical Analysis)
8. Coupling Fluid Flow with Porous Media Flow (SIAM Journal on Numerical Analysis)
9. Analysis of a domain decomposition method for the coupling of Stokes and Darcy equations
10. A unified stabilized method for Stokes' and Darcy's equations

Their papers

• Convergence of a family of Galerkin discretizations for the Stokes–Darcy coupled problem (2011) — 52 citations
• A conforming mixed finite-element method for the coupling of fluid flow with porous media flow (2008) — 141 citations
• Solvability and Galerkin Approximations of a Class of Nonlinear Operator Equations (2002) — 50 citations
• Analysis of a velocity–pressure–pseudostress formulation for the stationary Stokes equations ☆ (2010) — 108 citations
• On the mixed finite element method with Lagrange multipliers (2003) — 70 citations
• A Simple Introduction to the Mixed Finite Element Method: Theory and Applications (2014) — 289 citations
• Analysis of a new augmented mixed finite element method for linear elasticity allowing $\mathbb{RT}_0$-$\mathbb{P}_1$-$\mathbb{P}_0$ approximations (2006) — 63 citations
• A Banach spaces-based analysis of a new fully-mixed finite element method for the Boussinesq problem (2020) — 53 citations
• A mixed virtual element method for the Navier–Stokes equations (2018) — 74 citations
• A mixed virtual element method for the Brinkman problem (2017) — 80 citations
• An augmented mixed-primal finite element method for a coupled flow-transport problem (2015) — 52 citations
• An augmented velocity–vorticity–pressure formulation for the Brinkman equations (2015) — 47 citations
• A residual-based a posteriori error estimator for a fully-mixed formulation of the Stokes–Darcy coupled problem (2011) — 82 citations
• A residual based a posteriori error estimator for an augmented mixed finite element method in linear elasticity (2006) — 54 citations
• A low-order mixed finite element method for a class of quasi-Newtonian Stokes flows. Part I: a priori error analysis (2004) — 69 citations
• On the numerical analysis of nonlinear twofold saddle point problems (2003) — 72 citations