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Optimal grids for solution to the wave equation with variable coefficients. (Russian. English summary) Zbl 1079.65091

The author applies the method of constructing optimal grids proposed by S. Asvadurov, V. Druskin, and L.  Knizhnerman [J. Comput. Phys. 158, No. 1, 116–135 (2000; Zbl 0955.65063)] to the wave equation with variable coefficients and estimates the rate of approximation. Results of numerical experiments are given.

MSC:

65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
35L05 Wave equation
65M50 Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs

Citations:

Zbl 0955.65063
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