A GLOBAL-LOCAL FINITE ELEMENT METHOD IN SPACE-TIME FOR A HYPERBOLIC PROBLEM
van Niekerk, F D; Snyman, J A; van Niekerk, F D; Department of Mathematics, University of Pretoria; Snyman, J A; Department of Applied Mathematics, University of Pretoria
Журнал:
Quaestiones Mathematicae
Дата:
1983
Аннотация:
ABSTRACTA finite element method for solving the wave equation with couples boundary conditions is presented. In this approach finite elements are applied globally with respect to space and simultaneously but locally with respect to time. This gives rise to a single-step method in time. The method is a practical and economic one and the numerical results obtained compare favourably with the available analytic solution.
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