Name
Title | ||
|---|---|---|
Stability of symmetric and nonsymmetric FEM---BEM couplings for nonlinear elasticity problems |
Abstract | ||
|---|---|---|
We consider symmetric as well as non-symmetric coupling formulations of FEM and BEM in the frame of nonlinear elasticity problems. In particular, the Johnson-Nédélec coupling is analyzed. We prove that these coupling formulations are well-posed and allow for unique Galerkin solutions if standard discretizations by piecewise polynomials are employed. Unlike prior works, our analysis does neither rely on an interior Dirichlet boundary to tackle the rigid body motions nor on any assumption on the mesh-size of the discretization used. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1007/s00211-014-0662-9 | Numerische Mathematik |
Keywords | Field | DocType |
65N30, 65N15, 65N38 | Discretization,Mathematical optimization,Coupling,Polynomial,Mathematical analysis,Galerkin method,Finite element method,Rigid body,Dirichlet distribution,Mathematics,Piecewise | Journal |
Volume | Issue | ISSN |
130 | 2 | 0945-3245 |
Citations | PageRank | References |
3 | 0.43 | 3 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| M. Feischl | 1 | 3 | 0.43 |
| Thomas Führer | 2 | 37 | 11.17 |
| Michael Karkulik | 3 | 47 | 6.50 |
| Dirk Praetorius | 4 | 121 | 22.50 |