Name
Title | ||
|---|---|---|
Approximation of nonlinear wave equations with nonstandard anisotropic growth conditions |
Abstract | ||
|---|---|---|
Weak solutions for nonlinear wave equations involving the p(x)-Laplacian, for p : Omega -> (1, infinity) are constructed as appropriate limits of solutions of an implicit finite element discretization of the problem. A simple fixed-point scheme with appropriate stopping criteria is proposed to conclude convergence for all discretization, regularization, perturbation, and stopping parameters tending to zero. Computational experiments are included to motivate interesting dynamics, such as blowup, and asymptotic decay behavior. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1090/S0025-5718-09-02231-5 | MATHEMATICS OF COMPUTATION |
Keywords | Field | DocType |
fixed point,weak solution,finite element,computer experiment | Discretization,Mathematical analysis,Finite element method,Weak solution,Wave equation,Numerical analysis,Asymptotic analysis,Numerical linear algebra,Mathematics,p-Laplacian | Journal |
Volume | Issue | ISSN |
79 | 269 | 0025-5718 |
Citations | PageRank | References |
0 | 0.34 | 1 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jonas Haehnle | 1 | 2 | 1.11 |
| Andreas Prohl | 2 | 302 | 67.29 |