Publication

Time and space adaptivity of the wave equation discretized in time by a second-order scheme

Marco Picasso, Alexei Lozinski
2019
Journal Articles

Abstract

The aim of this paper is to obtain a posteriori error bounds of optimal order in time and space for the linear second-order wave equation discretized by the Newmark scheme in time and the finite element method in space. An error estimate is derived in the L-infinity-in-time/energy-in-space norm. Numerical experiments are reported for several test cases and confirm equivalence of the proposed estimator and the true error.

Official source

https://infoscience.epfl.ch/entities/publication/2a3fb753-c76e-452a-88f9-4193184f50bf

About this result

This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.

Graph Chat

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

Time and space adaptivity of the wave equation discretized in time by a second-order scheme

Chat with Graph Search

Probabilistic and Deterministic Wellposedness for Low Regularity Dispersive Equations

A Spectral Ansatz for The Long-Time Homogenization of The Wave Equation

SPACE-TIME REDUCED BASIS METHODS FOR PARAMETRIZED UNSTEADY STOKES EQUATIONS