Name
Abstract | ||
|---|---|---|
We propose and analyze a discretization scheme that combines the discontinuous Petrov-Galerkin and finite element methods. The underlying model problem is of general diffusion-advection-reaction type on bounded domains, with decomposition into two sub-domains. We propose a heterogeneous variational formulation that is of the ultra-weak (Petrov-Galerkin) form with broken test space in one part, and of Bubnov-Galerkin form in the other. A standard discretization with conforming approximation spaces and appropriate test spaces (optimal test functions for the ultra-weak part and standard test functions for the Bubnov-Galerkin part) gives rise to a coupled DPG-FEM scheme. We prove its well-posedness and quasi-optimal convergence. Numerical results confirm expected convergence orders. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1515/cmam-2017-0041 | COMPUTATIONAL METHODS IN APPLIED MATHEMATICS |
Keywords | Field | DocType |
DPG Method with Optimal Test Functions,Finite Element Method,Domain Decomposition,Coupling,Ultra-Weak Formulation,Diffusion-Advection-Reaction Problem | Convergence (routing),Discretization,Mathematical optimization,Mathematical analysis,Finite element method,Mathematics,Bounded function | Journal |
Volume | Issue | ISSN |
18 | 4 | 1609-4840 |
Citations | PageRank | References |
0 | 0.34 | 8 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Thomas Führer | 1 | 37 | 11.17 |
| Norbert Heuer | 2 | 263 | 39.70 |
| Michael Karkulik | 3 | 0 | 0.34 |
| R. Rodríguez | 4 | 72 | 19.18 |