Jérôme Droniou

Computational Mechanics · 2002–2018

A researcher in the Science corpus: 11 papers; trusts 28 researchers and is trusted by 23 researchers here, as inferred from the citation graph.

Subfields

• Computational Mechanics — 54 citations into it; #2,180 of 10,001 by trust here, #4,450 by citations
• Computational Theory and Mathematics — 26 citations into it; #4,606 of 12,182 by trust here, #4,059 by citations
• Numerical Analysis — 20 citations into it; #706 of 3,586 by trust here, #1,743 by citations
• Mechanics of Materials — 16 citations into it
• Electrical and Electronic Engineering — 14 citations into it
• Applied Mathematics — 8 citations into it; #1,638 of 7,620 by trust here, #2,377 by citations

Whom Jérôme Droniou trusts overall

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

1. Franco Brezzi
2. Y. Saad
3. Boris P. Andreianov
4. Ivar Aavatsmark
5. Konstantin Lipnikov
6. Robert Eymard
7. M. Crandall
8. Michel Cristofol
9. L. Beirão da Veiga
10. Franck Boyer

Who trusts Jérôme Droniou overall

1. Luis Silvestre
2. Claire Chainais-Hillairet
3. Jean-Sylvain Camier
4. Nathael Alibaud
5. Stefano Berrone
6. Paola Francesca Antonietti
7. Krzysztof Bogdan
8. Iwona Chlebicka
9. Francois Hermeline
10. Alessio Porretta

Papers from Jérôme Droniou's perspective

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

1. Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems (SIAM Journal on Numerical Analysis)
2. Mimetic finite differences for elliptic problems
3. An Introduction to Multipoint Flux Approximations for Quadrilateral Grids
4. Convergence of the Mimetic Finite Difference Method for Diffusion Problems on Polyhedral Meshes (SIAM Journal on Numerical Analysis)
5. Iterative methods for sparse linear systems
6. APPROXIMATION OF A NONLINEAR ELLIPTIC PROBLEM ARISING IN A NON-NEWTONIAN FLUID FLOW MODEL IN GLACIOLOGY
7. Discrete duality finite volume schemes for Leray−Lions−type elliptic problems on general 2D meshes
8. User’s guide to viscosity solutions of second order partial differential equations
9. Conservative High-Order Finite-Difference Schemes for Low-Mach Number Flows
10. The finite element method for elliptic problems (Classics in applied mathematics)

Their papers

• Non-coercive Linear Elliptic Problems (2002) — 74 citations
• A unified approach for handling convection terms in finite volumes and mimetic discretization methods for elliptic problems (2011) — 64 citations
• Parabolic Capacity and Soft Measures for Nonlinear Equations (2003) — 133 citations
• Noncoercive convection–diffusion elliptic problems with Neumann boundary conditions (2009) — 51 citations
• Equivalence between entropy and renormalized solutions for parabolic equations with smooth measure data (2007) — 96 citations
• A Hybrid High-Order method for the incompressible Navier-Stokes equations based on Temam's device (2018) — 339 citations
• FINITE VOLUME SCHEMES FOR DIFFUSION EQUATIONS: INTRODUCTION TO AND REVIEW OF MODERN METHODS (2014) — 289 citations
• Study of the mixed finite volume method for Stokes and Navier‐Stokes equations (2009) — 68 citations
• Finite-volume schemes for noncoercive elliptic problems with Neumann boundary conditions (2008) — 63 citations
• Fractal First-Order Partial Differential Equations (2006) — 193 citations
• Finite volume schemes for fully non-linear elliptic equations in divergence form (2006) — 52 citations