Name
Title | ||
|---|---|---|
Convergence of a continuous Galerkin method with mesh modification for nonlinear wave equations |
Abstract | ||
|---|---|---|
We consider space-time continuous Galerkin methods with mesh modification in time for semilinear second order hyperbolic equations. We show a priori estimates in the energy norm without mesh conditions. Under reasonable assumptions on the choice of the spatial mesh in each time step we show optimal order convergence rates. Estimates of the jump in the Riesz projection in two successive time steps are also derived. |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1090/S0025-5718-04-01654-0 | MATHEMATICS OF COMPUTATION |
Keywords | Field | DocType |
space time,second order,galerkin method,hyperbolic equation,convergence rate | Convergence (routing),Mathematical optimization,Mathematical analysis,Galerkin method,A priori and a posteriori,Wave equation,Numerical analysis,Jump,Nonlinear wave equation,Mathematics,Hyperbolic partial differential equation | Journal |
Volume | Issue | ISSN |
74 | 249 | 0025-5718 |
Citations | PageRank | References |
3 | 1.13 | 2 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Ohannes A. Karakashian | 1 | 202 | 28.44 |
| Charalambos Makridakis | 2 | 253 | 48.36 |