Numerical models for differential problems
type: Item
instance of: scholarly article
title: Numerical models for differential problems
zbMATH Open document ID: 1436.65003
DOI: 10.1007/978-3-319-49316-9
published in: MS\&A. Modeling, Simulation and Applications
publication date: 2017-08-02T00:00:00Z
review text: The second edition of this volume has been the subject of the review [\textit{A. Quarteroni}, Numerical models for differential problems. Translated from the 5th Italian edition by Silvia Quarteroni. 2nd ed. Milano: Springer (2014; Zbl 1285.65054)]. With respect to this new edition, the author added one chapter, now Chapter 11 ``Isogeometric analysis'' (IGA), considerably improved the chapter (now Chapter 20) ``Reduced basis methods'' and revised the whole text. The volume also contains a detailed preface to the second edition, references and an index. In the new chapter the author analyses the so-called NURBS (Non Rational Uniform B-splines)-based IGA in the framework of Galerkin scheme. He is mainly concerned with the isogeometric concept, its algebraic aspects, and a priori error estimates in the context of the homogeneous Dirichlet boundary value problem attached to the Poisson equation.
Mathematics Subject Classification ID: 65-01
Mathematics Subject Classification ID: 65Mxx
Mathematics Subject Classification ID: 65Nxx
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 76M12
Mathematics Subject Classification ID: 76M22
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 65K10
zbMATH DE Number: 6755682
zbMATH Keywords: elliptic equations
zbMATH Keywords: parabolic equations
zbMATH Keywords: hyperbolic equations
zbMATH Keywords: Galerkin finite element method
zbMATH Keywords: grid generation
zbMATH Keywords: finite volume method
zbMATH Keywords: spectral methods
zbMATH Keywords: splines
zbMATH Keywords: discontinuous element methods
zbMATH Keywords: finite differences
zbMATH Keywords: domain decomposition
zbMATH Keywords: diffusion-transport-reaction equations
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: optimal control
zbMATH Keywords: finite element programming
author: Alfio Quarteroni
reviewed by: Calin Ioan Gheorghiu
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/978-3-319-49316-9
OpenAlex ID: W4289812957
Recommended article: Modellistica Numerica per Problemi Differenziali
Recommended article: Q4955546
Recommended article: Q5483020
Recommended article: Q3532619
Recommended article: Q3057534
Recommended article: Q4215165
Recommended article: Q4760592
Recommended article: Q3998023
Recommended article: Numerical solutions of partial differential equations
description: scientific article; zbMATH DE number 6755682