Eigenform error estimates of computational material dynamics with shocks. 1.1. Hooke's law materials

Document Type

Article

Publication Date

12-1994

Department

Department of Mathematical Sciences

Abstract

Eigenform error estimates are sharper than previous a priori error bounds for the von Neumann-Richtmyer (vNR) scheme. Theoretical results give insight into the experimental results on the test problems which include shocks. The vNR-RK4 scheme, a Runge-Kutta modification of the original vNR, is not only more accurate than the original vNR but also the eigenform error estimates are more accurate for vNR-RK4.

Publication Title

Applied Mathematics and Computation

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