Carleman-Based Reconstruction Algorithm for Waves
نویسندگان
چکیده
Related DatabasesWeb of Science You must be logged in with an active subscription to view this.Article DataHistorySubmitted: 29 January 2020Accepted: 25 2021Published online: 19 April 2021Keywordshyperbolic equation, inverse problem, reconstruction algorithm, Carleman estimatesAMS Subject Headings93B07, 35R30Publication DataISSN (print): 0036-1429ISSN (online): 1095-7170Publisher: Society for Industrial and Applied MathematicsCODEN: sjnaam
منابع مشابه
Global Carleman estimates for waves and applications
Abstract In this article, we extensively develop Carleman estimates for the wave equation and give some applications. We focus on the case of an observation of the flux on a part of the boundary satisfying the Gamma conditions of Lions. We will then consider two applications. The first one deals with the exact controllability problem for the wave equation with potential. Following the duality m...
متن کاملConvergent Algorithm Based on Carleman Estimates
Abstract. This article develops the numerical and theoretical study of the reconstruction 5 algorithm of a potential in a wave equation from boundary measurements, using a cost functional built 6 on weighted energy terms coming from a Carleman estimate. More precisely, this inverse problem 7 for the wave equation consists in the determination of an unknown time-independent potential from 8 a si...
متن کاملA Convolution-Based Algorithm for Animated Water Waves
A non-linear partial differential equation solver is too sophisticated for computer graphics applications if they are only used to render effects like circular waves and ship wakes. We present an approach which simulates waves through a convolution algorithm. It handles both gravity waves and capillary waves; the latter are often neglected even though they dominate small-scale behavior. The alg...
متن کاملAn HTM based cortical algorithm for detection of seismic waves
Recognizing seismic waves immediately is very important for the realization of efficient disaster prevention. Generally these systems consist of a network of seismic detectors that send real time data to a central server. The server elaborates the data and attempts to recognize the first signs of an earthquake. The current problem with this approach is that it is subject to false alarms. A crit...
متن کاملEvidence-Based ACL Reconstruction
There is controversy in the literature regarding a number of topics related to anterior cruciate ligament (ACL)reconstruction. The purpose of this article is to answer the following questions: 1) Bone patellar tendon bone (BPTB) reconstruction or hamstring reconstruction (HR); 2) Double bundle or single bundle; 3) Allograft or authograft; 4) Early or late reconstruction; 5) Rate of return to sp...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: SIAM Journal on Numerical Analysis
سال: 2021
ISSN: ['0036-1429', '1095-7170']
DOI: https://doi.org/10.1137/20m1315798