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El-Zorkany, H. I.; Balasubramanian, R.

Hybrid computer solution of PDE’s using Laplace-modified Galerkin approximation. (English) Zbl 0469.65074

Math. Comput. Simulation 23, 304-311 (1981).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
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MSC:

65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
35K60 Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations

Keywords:

hybrid computer solution; Laplace-modified Galerkin approximation
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References:

[1] Douglas, J.; Dupont, T., Alternating Direction Galerkin Methods on Rectangles, (Proceedings of the Symposium on Numerical Solution of Partial Differential Equations, II (1971), Academic Press: Academic Press New York), 133-214 · Zbl 0239.65088
[2] Dendy, J. E., An Analysis of Some Galerkin Schemes for the Solution of Non-linear Time-Dependent Problems, SIAM Journal on Numerical Analysis, 12, 541-565 (1975) · Zbl 0338.65052
[3] El-Zorkany, H. I., Hybrid Computer Solution of a Class of Partial Differential Equations, (Ph.D. Thesis (1978), University of New Brunswick: University of New Brunswick Fredericton) · Zbl 0342.65059
[4] Bruch, J.; Zyvoloski, G., A Finite Element Weighted Residual Solution to One-Dimensional Field Problems, International Journal for Numerical Methods in Engineering, 6, 577-585 (1973) · Zbl 0258.76064
[5] Lewis, R.; Bruch, J., An Application of Least Squares to One-Dimensional Transient Problems, International Journal for Numerical Methods in Engineering, 8, 633-647 (1974) · Zbl 0285.76037
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