ComputationWorld 2019
May 05, 2019 to May 09, 2019 - Venice, Italy

  • SERVICE COMPUTATION 2019, The Eleventh International Conference on Advanced Service Computing
  • CLOUD COMPUTING 2019, The Tenth International Conference on Cloud Computing, GRIDs, and Virtualization
  • FUTURE COMPUTING 2019, The Eleventh International Conference on Future Computational Technologies and Applications
  • COGNITIVE 2019, The Eleventh International Conference on Advanced Cognitive Technologies and Applications
  • ADAPTIVE 2019, The Eleventh International Conference on Adaptive and Self-Adaptive Systems and Applications
  • CONTENT 2019, The Eleventh International Conference on Creative Content Technologies
  • PATTERNS 2019, The Eleventh International Conference on Pervasive Patterns and Applications
  • COMPUTATION TOOLS 2019, The Tenth International Conference on Computational Logics, Algebras, Programming, Tools, and Benchmarking
  • BUSTECH 2019, The Ninth International Conference on Business Intelligence and Technology

InfoSys 2019
June 02, 2019 to June 06, 2019 - Athens, Greece

  • ICNS 2019, The Fifteenth International Conference on Networking and Services
  • ICAS 2019, The Fifteenth International Conference on Autonomic and Autonomous Systems
  • ENERGY 2019, The Ninth International Conference on Smart Grids, Green Communications and IT Energy-aware Technologies
  • WEB 2019, The Seventh International Conference on Building and Exploring Web Based Environments
  • DBKDA 2019, The Eleventh International Conference on Advances in Databases, Knowledge, and Data Applications
  • SIGNAL 2019, The Fourth International Conference on Advances in Signal, Image and Video Processing
  • BIOTECHNO 2019, The Eleventh International Conference on Bioinformatics, Biocomputational Systems and Biotechnologies

InfoWare 2019
June 30, 2019 to July 04, 2019 - Rome, Italy

  • ICCGI 2019, The Fourteenth International Multi-Conference on Computing in the Global Information Technology
  • ICWMC 2019, The Fifteenth International Conference on Wireless and Mobile Communications
  • VEHICULAR 2019, The Eighth International Conference on Advances in Vehicular Systems, Technologies and Applications
  • INTERNET 2019, The Eleventh International Conference on Evolving Internet
  • COLLA 2019, The Ninth International Conference on Advanced Collaborative Networks, Systems and Applications
  • INTELLI 2019, The Eighth International Conference on Intelligent Systems and Applications
  • VISUAL 2019, The Fourth International Conference on Applications and Systems of Visual Paradigms
  • HUSO 2019, The Fifth International Conference on Human and Social Analytics
  • BRAININFO 2019, The Fourth International Conference on Neuroscience and Cognitive Brain Information

DataSys 2019
July 28, 2019 to August 01, 2019 - Nice, France

  • AICT 2019, The Fifteenth Advanced International Conference on Telecommunications
  • ICIW 2019, The Fourteenth International Conference on Internet and Web Applications and Services
  • ICIMP 2019, The Fourteenth International Conference on Internet Monitoring and Protection
  • SMART 2019, The Eighth International Conference on Smart Cities, Systems, Devices and Technologies
  • IMMM 2019, The Ninth International Conference on Advances in Information Mining and Management
  • INFOCOMP 2019, The Ninth International Conference on Advanced Communications and Computation
  • MOBILITY 2019, The Ninth International Conference on Mobile Services, Resources, and Users
  • SPWID 2019, The Fifth International Conference on Smart Portable, Wearable, Implantable and Disability-oriented Devices and Systems
  • ACCSE 2019, The Fourth International Conference on Advances in Computation, Communications and Services

NexTech 2019
September 22, 2019 to September 26, 2019 - Porto, Portugal

  • UBICOMM 2019, The Thirteenth International Conference on Mobile Ubiquitous Computing, Systems, Services and Technologies
  • ADVCOMP 2019, The Thirteenth International Conference on Advanced Engineering Computing and Applications in Sciences
  • SEMAPRO 2019, The Thirteenth International Conference on Advances in Semantic Processing
  • AMBIENT 2019, The Ninth International Conference on Ambient Computing, Applications, Services and Technologies
  • EMERGING 2019, The Eleventh International Conference on Emerging Networks and Systems Intelligence
  • DATA ANALYTICS 2019, The Eighth International Conference on Data Analytics
  • GLOBAL HEALTH 2019, The Eighth International Conference on Global Health Challenges
  • CYBER 2019, The Fourth International Conference on Cyber-Technologies and Cyber-Systems

NetWare 2019
October 27, 2019 to October 31, 2019 - Nice, France

  • SENSORCOMM 2019, The Thirteenth International Conference on Sensor Technologies and Applications
  • SENSORDEVICES 2019, The Tenth International Conference on Sensor Device Technologies and Applications
  • SECURWARE 2019, The Thirteenth International Conference on Emerging Security Information, Systems and Technologies
  • AFIN 2019, The Eleventh International Conference on Advances in Future Internet
  • CENICS 2019, The Twelfth International Conference on Advances in Circuits, Electronics and Micro-electronics
  • ICQNM 2019, The Thirteenth International Conference on Quantum, Nano/Bio, and Micro Technologies
  • FASSI 2019, The Fifth International Conference on Fundamentals and Advances in Software Systems Integration
  • GREEN 2019, The Fourth International Conference on Green Communications, Computing and Technologies

SoftNet 2019
November 24, 2019 to November 28, 2019 - Valencia, Spain

  • ICSEA 2019, The Fourteenth International Conference on Software Engineering Advances
  • ICSNC 2019, The Fourteenth International Conference on Systems and Networks Communications
  • CENTRIC 2019, The Twelfth International Conference on Advances in Human-oriented and Personalized Mechanisms, Technologies, and Services
  • VALID 2019, The Eleventh International Conference on Advances in System Testing and Validation Lifecycle
  • SIMUL 2019, The Eleventh International Conference on Advances in System Simulation
  • SOTICS 2019, The Ninth International Conference on Social Media Technologies, Communication, and Informatics
  • INNOV 2019, The Eighth International Conference on Communications, Computation, Networks and Technologies
  • HEALTHINFO 2019, The Fourth International Conference on Informatics and Assistive Technologies for Health-Care, Medical Support and Wellbeing

 


ThinkMind // SIMUL 2012, The Fourth International Conference on Advances in System Simulation // View article simul_2012_4_40_50085


Simulation of the Deflection of Thin Plates Under the Action of Random Loads

Authors:
Vitaly Lukinov

Keywords: plate bending; Monte Carlo methods; biharmonic equation, walks by spheres

Abstract:
In this work new results are obtained using constructed probability representation of the first boundary value problem for polyharmonic equation.It is shown that corresponding solution is presented by the parametric derivative of a solution to the specially constructed Dirichlet problem for Helmholtz equation. On this base new algorithms of 'random walk by spheres' for solving biharmonic equation are derived. Also, a new ``walk-on spheres'' estimates and probabilistic representation for solutions of the Helmholtz equation are constructed by analytical continuation of the resolvent in case of divergence of classical methods. The novelty of the work consists in the application the G.A. Mikhailov approach of parametric differentiation to build a scalar ``walk on spheres'' estimates. It is shown that the necessary estimates of iterations of the resolvent can be obtained by parametric differentiation of the special boundary value problem. On this approach the analytic extension of estimates for solutions and the covariance function of biharmonic equations with random right-hand side and interior Dirichlet boundary condition are constructed. The optimal parameters (number of trajectories, value determining the boundary error, the number of iterations) were obtained. The numerical results confirming the theoretical assertions are presented.

Pages: 103 to 106

Copyright: Copyright (c) IARIA, 2012

Publication date: November 18, 2012

Published in: conference

ISSN: 2308-4537

ISBN: 978-1-61208-234-9

Location: Lisbon, Portugal

Dates: from November 18, 2012 to November 23, 2012

SERVICES CONTACT
2010 - 2017 © ThinkMind. All rights reserved.
Read Terms of Service and Privacy Policy.