A simple embedding method for solving partial differential equations on surfaces

By Steven J. Ruuth, Barry Merriman. Journal of Computational Physics, 2008

302 citations recorded by the source corpus.

Subfields: Computational Mechanics, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/f9e9d436db7bdf3f9cfafcb2d8abe9f4c59251fb

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. Arnold Reusken
4. Thomas R. Ranner

Citations in the corpus

• Finite element methods for surface PDEs* (2013, background): “A. Gaffney and P. K. Maini (1999), ‘Reaction and diffusion on growing domains: Scenarios for robust pattern formation’, Bull.”
• Thin-film smoothed particle hydrodynamics fluid (2021, unknown): “Closest point method (CPM) [Cheung et al. 2015; Ruuth and Merriman 2008] provides a way to approximate functions on the Cartesian space defined on manifolds, and it thus can be used to solve PDEs on the surface, which includes the governing equations of surface flow [Auer et al. 2012; Auer and…”