Name
Abstract | ||
|---|---|---|
We consider a nite element method for the nonhomogeneous second-order wave equation, which is formulated in terms of continuous ap- proximation functions in both space and time, thereby giving a unied treat- ment of the spatial and temporal discretizations. Our analysis uses primarily energy arguments, which are quite common for spatial discretizations but not for time. We present a priori nodal (in time) superconvergence error estimates with- out any special time step restrictions. Our method is based on tensor-product spaces for the full discretization. |
Year | DOI | Venue |
|---|---|---|
1996 | 10.1090/S0025-5718-96-00685-0 | Math. Comput. |
Keywords | Field | DocType |
wave equation,continuous space-time finite element,finite element method,tensor product,second order,space time | Tensor product,Space time,Continuous function,Discretization,Mathematical analysis,Spacetime,Superconvergence,Finite element method,Wave equation,Mathematics | Journal |
Volume | Issue | ISSN |
65 | 214 | 0025-5718 |
Citations | PageRank | References |
16 | 6.42 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Donald A. French | 1 | 26 | 9.06 |
| Todd E. Peterson | 2 | 36 | 10.02 |