Martin Vohralík

Computational Mechanics · 2005–2013

A researcher in the Science corpus: 8 papers; trusts 19 researchers and is trusted by 17 researchers here, as inferred from the citation graph.

Subfields

• Computational Mechanics — 33 citations into it; #2,206 of 10,001 by trust here, #4,450 by citations
• Computational Theory and Mathematics — 26 citations into it; #7,989 of 12,182 by trust here, #7,851 by citations
• Numerical Analysis — 14 citations into it; #818 of 3,586 by trust here, #1,448 by citations
• Mechanics of Materials — 10 citations into it
• Electrical and Electronic Engineering — 7 citations into it; #5,159 of 16,539 by trust here, #13,963 by citations
• Mathematical Physics — 7 citations into it
• Applied Mathematics — 5 citations into it

Whom Martin Vohralík trusts overall

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

1. Susanne C. Brenner
2. Runhild A. Klausen
3. Alfio Maria Quarteroni
4. Robert Eymard
5. Alexandre Ern
6. Mario Bebendorf
7. Franco Brezzi
8. Douglas N. Arnold
9. Y. Saad
10. Raphaèle Herbin

Who trusts Martin Vohralík overall

1. L. Beirão da Veiga
2. Anis Younes
3. Philippe Ackerer
4. Giuseppe Vacca
5. Jérôme Droniou
6. Carlo Lovadina
7. Alexandre Ern
8. Frederick Delay
9. Linda El Alaoui
10. Franco Brezzi

Papers from Martin Vohralík's perspective

Ordered by how strongly the researchers Martin Vohralík 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. Mixed and Hybrid Finite Element Methods (Springer Series in Computational Mathematics)
3. Discretisation of heterogeneous and anisotropic diffusion problems on general non-conforming meshes. SUSHI: a scheme using stabilisation and hybrid interfaces
4. Relationships among some locally conservative discretization methods which handle discontinuous coefficients
5. Theory and practice of finite elements
6. Constants in Clément-interpolation error and residual based a posteriori estimates in finite element methods
7. Unstructured, Control-Volume Distributed, Full-Tensor Finite-Volume Schemes with Flow Based Grids
8. A posteriori error estimates for finite element discretizations of the heat equation
9. Methods of conjugate gradients for solving linear systems
10. Convergence of multipoint flux approximations on quadrilateral grids

Their papers

• MIXED FINITE ELEMENT METHODS: IMPLEMENTATION WITH ONE UNKNOWN PER ELEMENT, LOCAL FLUX EXPRESSIONS, POSITIVITY, POLYGONAL MESHES, AND RELATIONS TO OTHER METHODS (2013) — 55 citations
• An accurate H(div) flux reconstruction for discontinuous Galerkin approximations of elliptic problems (2007) — 108 citations
• On the Discrete Poincaré–Friedrichs Inequalities for Nonconforming Approximations of the Sobolev Space H 1 (2005) — 86 citations
• A posteriori error estimates, stopping criteria, and adaptivity for two-phase flows (2013) — 62 citations
• Guaranteed and robust a posteriori error estimates and balancing discretization and linearization errors for monotone nonlinear problems (2011) — 115 citations
• Guaranteed and robust a posteriori error estimates for singularly perturbed reaction–diffusion problems (2009) — 53 citations
• Equivalence between lowest-order mixed finite element and multi-point finite volume methods on simplicial meshes (2006) — 52 citations
• Numerical simulation of fracture flow with a mixed-hybrid FEM stochastic discrete fracture network model (2005) — 98 citations