Name
Abstract | ||
|---|---|---|
There are many applications of the least-squares finite element method for the numerical solution of partial differential equations because of a number of benefits that the least-squares method has. However, one of the most well-known drawbacks of the least-squares finite element method is the lack of exact discrete mass conservation, in some contexts, due to the fact that the least-squares method minimizes the continuity equation in $L^2$-norm. In this paper, we explore the reason for the mass loss and provide new approaches to retain the mass even in a severely underresolved grid. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1137/080721303 | SIAM J. Scientific Computing |
Keywords | Field | DocType |
underresolved grid,least-squares finite element method,continuity equation,exact discrete mass conservation,enhanced mass conservation,least-squares method,navier-stokes equations,well-known drawback,least-squares methods,partial differential equation,new approach,mass loss,numerical solution,mass conservation,least square,least square method,three dimensions,three dimensional,finite element method,higher order,satisfiability,finite element,positive definite,finite volume method,boundary condition | Least squares,Mathematical optimization,Continuity equation,Mathematical analysis,Numerical partial differential equations,Finite element method,Conservation of mass,Mathematics,Grid,Mixed finite element method,Navier–Stokes equations | Journal |
Volume | Issue | ISSN |
31 | 3 | 1064-8275 |
Citations | PageRank | References |
6 | 0.62 | 6 |
Authors | ||
5 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| J. J. Heys | 1 | 21 | 2.26 |
| E. Lee | 2 | 31 | 4.45 |
| T. A. Manteuffel | 3 | 278 | 38.19 |
| S. F. McCormick | 4 | 266 | 38.47 |
| J. Ruge | 5 | 293 | 33.76 |