Gerhard Dziuk

Computational Mechanics · 2005–2013

A researcher in the Science corpus: 6 papers; trusts 18 researchers and is trusted by 17 researchers here, as inferred from the citation graph.

Subfields

• Computational Mechanics — 33 citations into it; #2,032 of 10,001 by trust here, #4,178 by citations
• Computational Theory and Mathematics — 12 citations into it; #1,790 of 12,182 by trust here, #3,218 by citations
• Computer Graphics and Computer-Aided Design — 12 citations into it
• Applied Mathematics — 8 citations into it; #3,837 of 7,620 by trust here, #4,482 by citations
• Mechanics of Materials — 6 citations into it; #1,165 of 6,291 by trust here, #3,247 by citations
• Numerical Analysis — 6 citations into it
• Materials Chemistry — 5 citations into it

Whom Gerhard Dziuk trusts overall

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

1. Charles M. Elliott
2. Martin Burger
3. David Adalsteinsson
4. Ernst Kuwert
5. Alfred Schmidt
6. Marcelo Bertalmío
7. A. Ratz
8. Klaus Deckelnick
9. James A. Sethian
10. Kunibert G. Siebert

Who trusts Gerhard Dziuk overall

1. Charles M. Elliott
2. Harald Garcke
3. Alejandro Torres-S'anchez
4. Arnold Reusken
5. Peter Hansbo
6. Thomas R. Ranner
7. Herbert Koch
8. Daniel Millán
9. John W. Barrett
10. Mats G. Larson

Papers from Gerhard Dziuk's perspective

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

1. Level Set Methods and Fast Marching Methods
2. A level set formulation for Willmore flow
3. The Willmore flow near spheres (Differential and Integral Equations)
4. Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows (Numerische Mathematik)
5. The motion of a surface by its mean curvature
6. Computation of geometric partial differential equations and mean curvature flow (Acta Numerica)
7. Finite elements on evolving surfaces
8. Finite element approximation of elliptic partial differential equations on implicit surfaces
9. A surfactant-conserving volume-of-fluid method for interfacial flows with insoluble surfactant
10. Removability of point singularities of Willmore surfaces

Their papers

• Finite element methods for surface PDEs* (2013) — 659 citations
• Computation of geometric partial differential equations and mean curvature flow (2005) — 481 citations
• Finite elements on evolving surfaces (2007) — 400 citations
• Eulerian finite element method for parabolic PDEs on implicit surfaces (2008) — 73 citations
• Error analysis of a finite element method for the Willmore flow of graphs (2006) — 67 citations
• An h-narrow band finite-element method for elliptic equations on implicit surfaces (2010) — 91 citations