Cargando…

Combined methods for elliptic equations with singularities, interfaces and infinities

In this book the author sets out to answer two important questions: 1. Which numerical methods may be combined together? 2. How can different numerical methods be matched together? In doing so the author presents a number of useful combinations, for instance, the combination of various FEMs, the com...

Descripción completa

Detalles Bibliográficos
Autor principal: Li, Zi Cai
Lenguaje:eng
Publicado: Springer 1998
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-1-4613-3338-8
http://cds.cern.ch/record/2023309
_version_ 1780947044696850432
author Li, Zi Cai
author_facet Li, Zi Cai
author_sort Li, Zi Cai
collection CERN
description In this book the author sets out to answer two important questions: 1. Which numerical methods may be combined together? 2. How can different numerical methods be matched together? In doing so the author presents a number of useful combinations, for instance, the combination of various FEMs, the combinations of FEM-FDM, REM-FEM, RGM-FDM, etc. The combined methods have many advantages over single methods: high accuracy of solutions, less CPU time, less computer storage, easy coupling with singularities as well as the complicated boundary conditions. Since coupling techniques are essential to combinations, various matching strategies among different methods are carefully discussed. The author provides the matching rules so that optimal convergence, even superconvergence, and optimal stability can be achieved, and also warns of the matching pitfalls to avoid. Audience: The book is intended for both mathematicians and engineers and may be used as text for advanced students.
id cern-2023309
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1998
publisher Springer
record_format invenio
spelling cern-20233092021-04-21T20:14:00Zdoi:10.1007/978-1-4613-3338-8http://cds.cern.ch/record/2023309engLi, Zi CaiCombined methods for elliptic equations with singularities, interfaces and infinitiesMathematical Physics and MathematicsIn this book the author sets out to answer two important questions: 1. Which numerical methods may be combined together? 2. How can different numerical methods be matched together? In doing so the author presents a number of useful combinations, for instance, the combination of various FEMs, the combinations of FEM-FDM, REM-FEM, RGM-FDM, etc. The combined methods have many advantages over single methods: high accuracy of solutions, less CPU time, less computer storage, easy coupling with singularities as well as the complicated boundary conditions. Since coupling techniques are essential to combinations, various matching strategies among different methods are carefully discussed. The author provides the matching rules so that optimal convergence, even superconvergence, and optimal stability can be achieved, and also warns of the matching pitfalls to avoid. Audience: The book is intended for both mathematicians and engineers and may be used as text for advanced students.Springeroai:cds.cern.ch:20233091998
spellingShingle Mathematical Physics and Mathematics
Li, Zi Cai
Combined methods for elliptic equations with singularities, interfaces and infinities
title Combined methods for elliptic equations with singularities, interfaces and infinities
title_full Combined methods for elliptic equations with singularities, interfaces and infinities
title_fullStr Combined methods for elliptic equations with singularities, interfaces and infinities
title_full_unstemmed Combined methods for elliptic equations with singularities, interfaces and infinities
title_short Combined methods for elliptic equations with singularities, interfaces and infinities
title_sort combined methods for elliptic equations with singularities, interfaces and infinities
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-1-4613-3338-8
http://cds.cern.ch/record/2023309
work_keys_str_mv AT lizicai combinedmethodsforellipticequationswithsingularitiesinterfacesandinfinities