Name
Title | ||
|---|---|---|
A posteriori dual-mixed adaptive finite element error control for Lamé and Stokes equations |
Abstract | ||
|---|---|---|
A unified and robust mathematical model for compressible and incompressible linear elasticity can be obtained by rephrasing the Herrmann formulation within the Hellinger-Reissner principle. This quasi-optimally converging extension of PEERS (Plane Elasticity Element with Reduced Symmetry) is called Dual-Mixed Hybrid formulation (DMH). Explicit residual-based a posteriori error estimates for DMH are introduced and are mathematically shown to be locking-free, reliable, and efficient. The estimator serves as a refinement indicator in an adaptive algorithm for effective automatic mesh generation. Numerical evidence supports that the adaptive scheme leads to optimal convergence for Lamé and Stokes benchmark problems with singularities. |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1007/s00211-005-0616-3 | Numerische Mathematik |
Keywords | Field | DocType |
stokes equation,effective automatic mesh generation,adaptive finite element error,reduced symmetry,adaptive scheme,incompressible linear elasticity,hybrid formulation,herrmann formulation,stokes benchmark problem,hellinger-reissner principle,adaptive algorithm,plane elasticity element,mathematical model,linear elasticity,error control,mesh generation | Convergence (routing),Mathematical optimization,Mathematical analysis,A priori and a posteriori,Finite element method,Linear elasticity,Adaptive algorithm,Numerical analysis,Mathematics,Mesh generation,Estimator | Journal |
Volume | Issue | ISSN |
101 | 2 | 0945-3245 |
Citations | PageRank | References |
1 | 0.37 | 6 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| C Carstensen | 1 | 944 | 163.02 |
| Paola Causin | 2 | 7 | 3.68 |
| Riccardo Sacco | 3 | 51 | 5.75 |