A structure-preserving Partitioned Finite Element Method for the 2D wave equation
Overview & Synopsis
Discretizing open systems of conservation laws while preserving the power-balance at the discrete level can be achieved using a new Partitioned Finite Element Method (PFEM), where an integration by parts is performed only on a subset of the variables in the weak formulation. Moreover, since boundary control and observation appear naturally in this formulation, the method is suitable both for simulation and control of infinite-dimensional port-Hamiltonian systems. The method can be applied using FEM software, and comes along with worked-out test cases on the 2D wave equation in different geometries and coordinate systems.
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hal.science)
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Document Information
| Document Title | A structure-preserving Partitioned Finite Element Method for the 2D wave equation |
|---|---|
| Author / Organization | Flávio Luiz Cardoso-Ribeiro, Denis Matignon, Laurent Lefevre |
| Subject & Discipline | Multidisciplinary Academic Open Research |
| Categories | Science & Mathematics |
| Publication Year | 2018 |
| License / Rights | Open Access / Creative Commons |
| Resource Verification | Listed PDF (Verification Pending) |
| Original Host Website |
HAL Open Science
(hal.science)
|
| File Format | application/pdf (Portable Document Format) |
| Language | EN |
| Catalog ID | DOC-211856 |
| Original Source Link | Visit Source Page on hal.science » |