Finite element approximation of elliptic partial differential equations on implicit surfaces

By Martin Burger. 2009

65 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computational Theory and Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/ad4bc506dc952b8b4b364d489795585fed832f26

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Gerhard Dziuk
2. Charles M. Elliott
3. Barry Merriman
4. Steven J. Ruuth
5. Arnold Reusken
6. Thomas R. Ranner
7. Lajos Lóczi
8. Uri M. Ascher

In Computational Theory and Mathematics

1. Charles M. Elliott
2. Gerhard Dziuk
3. Barry Merriman
4. Steven J. Ruuth
5. Thomas R. Ranner
6. Harald Garcke
7. Arnold Reusken
8. Lajos Lóczi

In Numerical Analysis

1. Charles M. Elliott
2. Gerhard Dziuk
3. Barry Merriman
4. Steven J. Ruuth
5. Uri M. Ascher
6. Lajos Lóczi

Citations in the corpus

• A simple embedding method for solving partial differential equations on surfaces (2008, background): “See also [3] for related work on the finite element approximation of elliptic partial differential equations on implicit surfaces via level set methods.”
• Finite element methods for surface PDEs* (2013, methodology): “Such methods are formulated in Bertalmı́o, Cheng, Osher and Sapiro (2001), Greer, Bertozzi and Sapiro (2006), Burger (2009) and Dziuk and Elliott (2008, 2010).”
• Eulerian finite element method for parabolic PDEs on implicit surfaces (2008, background): “A finite element approximation of elliptic equations on implicit surfaces is presented in [5].”