Convergence, Accuracy, and Stability of Finite-Element Approximations of a Class of Nonlinear Hyperbolic Equations.
ALABAMA UNIV HUNTSVILLE RESEARCH INST
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Numerical stability criteria and rates of convergence are derived for finite-element approximations of the nonlinear wave equation u sub tt - F u sub x fx,t, where F u sub x possesses properties generally encountered in nonlinear elasticity. Piecewise linear finite-element approximations in x and central difference approximations in t are studied. Author
- Numerical Mathematics