Practical aspects of formulation and solution of moving mesh partial differential equations

147 citations recorded by the source corpus.

How researchers see this paper

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

A two-dimensional moving finite element method with local refinement based on a posteriori error estimates (2003, unknown): “E-mail addresses: lang@mathematik.tu-darmstadt.de (J. Lang), wcao@math.utsa.edu (W. Cao), huang@math.uka (W. Huang), rdr@cs.sfu.ca (R.D. Russell).”
Mathematical Principles of Anisotropic Mesh Adaptation (2006, background): “It is suggested in [32] that αiso be chosen such that (i) the monitor function Miso is invariant under the scaling transformation of v and (ii) σ ≡ ∫ Ω ρisodx ≤ C for some constant C.”
Adaptivity with moving grids (2009, methodology): “The method of Huang (2001b) given in Section 2 (cf. (2.40)) augments the above variational principles with an additional contribution based on mesh quality control of equidistribution alignment, and orientation.”
Variational mesh adaptation II: error estimates and monitor functions (2003, background): “The choice of this parameter has been discussed in [4] for the one-dimensional case and [15] for the multi-dimensional case.”
A cartesian grid method for modeling multiple moving objects in 2D incompressible viscous flow (2003, unknown): “the objects move, see for example [14].”