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Introduction to “Numerical solution of the quasilinear Poisson equation in a nonuniform triangle mesh”. (English) Zbl 0890.65122

Comment to the reprint of A. M. Winslow’s article [ibid. 135, No. 2, Art. No. CP975698 128-138 (1997; Zbl 0890.65123); originally published in ibid. 1, 149-172 (1966); Erratum, ibid. 544 (1967; Zbl 0254.65069)].

MSC:

65N50 Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs
65N06 Finite difference methods for boundary value problems involving PDEs
35J65 Nonlinear boundary value problems for linear elliptic equations

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References:

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[2] A. M. Winslow, 1963, “Equipotential” zoning of two-dimensional meshes, UCRL-7312, Lawrence Radiation Laboratory; A. M. Winslow, 1963, “Equipotential” zoning of two-dimensional meshes, UCRL-7312, Lawrence Radiation Laboratory
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[9] Miki, K.; Takagi, T., A domain decomposition and overlapping method for three-dimensional large-scale numerical simulations, J. Comput. Phys., 53, 319 (1984)
[10] Warsi, Z. U.A., Numerical grid generation in arbitrary surfaces through a second-order differential-geometric model, J. Comput. Phys., 64, 82 (1986) · Zbl 0643.65076
[11] Chesshire, G.; Henshaw, W. D., Composite overlapping meshes for the solution of partial differential equations, J. Comput. Phys., 90, 1 (1990) · Zbl 0709.65090
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[13] Berger, M. J.; Oliger, J., Adaptive mesh refinement for hyperbolic partial differential equations, J. Comput. Phys., 53, 484 (1984) · Zbl 0536.65071
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