Ludmil T. Zikatanov

Computational Mechanics · 2002–2015

A researcher in the Science corpus: 7 papers; trusts 5 researchers and is trusted by 15 researchers here, as inferred from the citation graph.

Subfields

• Computational Mechanics — 14 citations into it; #2,619 of 10,001 by trust here, #7,173 by citations
• Computational Theory and Mathematics — 11 citations into it; #1,649 of 12,182 by trust here, #4,531 by citations
• Applied Mathematics — 10 citations into it; #6,401 of 7,620 by trust here, #6,655 by citations
• Mechanics of Materials — 10 citations into it
• Mathematical Physics — 6 citations into it

Whom Ludmil T. Zikatanov trusts overall

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

1. Jinchao Xu
2. Yalchin R. Efendiev
3. Vladimir G. Maz'ya

Who trusts Ludmil T. Zikatanov overall

1. Paola Francesca Antonietti
2. Juan Galvis
3. Yalchin R. Efendiev
4. A. Mazzucato
5. Deanna Needell
6. Hengguang Li
7. B. Ayuso
8. James J. Brannick
9. Haijun Wu
10. Victor Nistor

Papers from Ludmil T. Zikatanov's perspective

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

1. Convergence of a Nonconforming Multiscale Finite Element Method (SIAM Journal on Numerical Analysis)
2. On an energy minimizing basis for algebraic multigrid methods
3. Theory of Reproducing Kernels.
4. Improving the Rate of Convergence of High-Order Finite Elements on Polyhedra I: A Priori Estimates
5. ANALYSIS OF THE FINITE ELEMENT METHOD FOR TRANSMISSION/MIXED BOUNDARY VALUE PROBLEMS ON GENERAL POLYGONAL DOMAINS ∗
6. Strongly elliptic systems and boundary integral equations (Mathematical Gazette)
7. Hardy’s inequality and the boundary size
8. Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds
9. Spectral Problems Associated with Corner Singularities of Solutions to Elliptic Equations
10. Weighted Lp estimates of solutions to boundary value problems for second order elliptic systems in polyhedral domains

Their papers

• On an energy minimizing basis for algebraic multigrid methods (2004) — 117 citations
• The method of alternating projections and the method of subspace corrections in Hilbert space (2002) — 306 citations
• Improving the Rate of Convergence of High-Order Finite Elements on Polyhedra I: A Priori Estimates (2005) — 72 citations
• Interface and mixed boundary value problems on $n$-dimensional polyhedral domains (2010) — 62 citations
• Stability and monotonicity for some discretizations of the Biot’s consolidation model (2015) — 136 citations
• ROBUST SUBSPACE CORRECTION METHODS FOR NEARLY SINGULAR SYSTEMS (2007) — 88 citations
• Algebraic Multigrid Methods Based on Compatible Relaxation and Energy Minimization (2007) — 47 citations