论文信息 - An alternating direction Galerkin method for a class of second-order hyperbolic equations in two space variables

An alternating direction Galerkin method for a class of second-order hyperbolic equations in two space variables

A new alternating-direction implicit (ADI) Galerkin method is devised and analyzed for solving a certain class of second-order hyperbolic initial-boundary value problems in two space variables. This class includes the wave equation in Cartesian coordinates, polar coordinates, and cylindrical coordinates with radial symmetry. Optimal a priori $H_0^1 $ and $L^2 $-error estimates are derived.

Graeme Fairweather | Ryan I. Fernandes

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