A residual finite element formulation is developed in this paper to solve elastodynamic problems in which body wave potentials are primary unknowns. The formulation is based on minimizing the square of the residuals of governing equations as well as all boundary conditions. Since the boundary condit
โฆ LIBER โฆ
A stable least-squares finite element method for non-linear hyperbolic problems
โ Scribed by B. N. Jiang; Graham F. Carey
- Publisher
- John Wiley and Sons
- Year
- 1988
- Tongue
- English
- Weight
- 487 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0271-2091
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## Abstract In this work we propose and analyze a fully discrete modified CrankโNicolson finite element (CNFE) method with quadrature for solving semilinear secondโorder hyperbolic initialโboundary value problems. We prove optimalโorder convergence in both time and space for the quadratureโmodified