In this paper we implement a spectral method for solving initial boundary value problems which is in between the Galerkin and collocation methods. In this method the partial differential equation and initial and boundary conditions are collocated at an overdetermined set of points and the approximat
A Petrov-Galerkin method and boundary approximations for hyperbolic initial boundary-value problems
โ Scribed by S. M. Jamieson; D. M. Sloan
- Publisher
- John Wiley and Sons
- Year
- 1986
- Tongue
- English
- Weight
- 761 KB
- Volume
- 2
- Category
- Article
- ISSN
- 0749-159X
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๐ SIMILAR VOLUMES
We formulate a higher-order (superconvergent) Petrov-Galerkin method by determining, using a finitedifference approximation, the optimal selection of quadratic and cubic modifications to the standard linear test function for bilinear elements. Application of this method to linear elliptic problems r
The hyperbolic conservation laws with relaxation appear in many physical models such as those for gas dynamics with thermo-non-equilibrium, elasticity with memory, flood flow with friction, traffic flow, etc.. The main concern of this article is the long-time effect of the relaxations on the boundar