Stability of symmetric and nonsymmetric FEM-BEM couplings for nonlinear elasticity problems
classification
🧮 math.NA
keywords
couplingelasticityformulationsnonlinearproblemssymmetricallowanalysis
pith:Y2SKPZZT Add to your LaTeX paper
What is a Pith Number?\usepackage{pith}
\pithnumber{Y2SKPZZT}
Prints a linked pith:Y2SKPZZT badge after your title and writes the identifier into PDF metadata. Compiles on arXiv with no extra files. Learn more
read the original 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-N\'ed\'elec 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.