[图书][B] Numerical models for differential problems

A Quarteroni, S Quarteroni - 2009 - Springer
Alfio Quarteroni Third Edition Page 1 MS&A – Modeling, Simulation and Applications 16
Numerical Models for Di erential Problems Alfio Quarteroni Third Edition Page 2 MS&A Volume …

Isogeometric collocation: Cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations

D Schillinger, JA Evans, A Reali, MA Scott… - Computer Methods in …, 2013 - Elsevier
We compare isogeometric collocation with isogeometric Galerkin and standard C 0 finite
element methods with respect to the cost of forming the matrix and residual vector, the cost …

[HTML][HTML] lifex: A flexible, high performance library for the numerical solution of complex finite element problems

PC Africa - SoftwareX, 2022 - Elsevier
Numerical simulations are ubiquitous in mathematics and computational science. Several
industrial and clinical applications entail modeling complex multiphysics systems that evolve …

Weak coupling for isogeometric analysis of non-matching and trimmed multi-patch geometries

M Ruess, D Schillinger, AI Oezcan, E Rank - Computer Methods in Applied …, 2014 - Elsevier
Nitsche's method can be used as a coupling tool for non-matching discretizations by weakly
enforcing interface constraints. We explore the use of weak coupling based on Nitsche's …

Towards understanding the mechanism of fibrous texture formation during high-moisture extrusion of meat substitutes

JLS Murillo, R Osen, S Hiermaier… - Journal of food …, 2019 - Elsevier
This paper investigates the physical mechanisms of structure formation during high-moisture
extrusion of vegetable proteins. Our model starts from the observation that extrudates with …

Smooth cubic spline spaces on unstructured quadrilateral meshes with particular emphasis on extraordinary points: Geometric design and isogeometric analysis …

D Toshniwal, H Speleers, TJR Hughes - Computer Methods in Applied …, 2017 - Elsevier
We present a framework for geometric design and isogeometric analysis on unstructured
quadrilateral meshes. Acknowledging the differing requirements posed by design (eg, the …

PetIGA: A framework for high-performance isogeometric analysis

L Dalcin, N Collier, P Vignal, AMA Côrtes… - Computer Methods in …, 2016 - Elsevier
We present PetIGA, a code framework to approximate the solution of partial differential
equations using isogeometric analysis. PetIGA can be used to assemble matrices and …

An interactive geometry modeling and parametric design platform for isogeometric analysis

MC Hsu, C Wang, AJ Herrema, D Schillinger… - … & Mathematics with …, 2015 - Elsevier
In this paper an interactive parametric design-through-analysis platform is proposed to help
design engineers and analysts make more effective use of Isogeometric Analysis (IGA) to …

Isogeometric analysis and error estimates for high order partial differential equations in fluid dynamics

A Tagliabue, L Dede, A Quarteroni - Computers & Fluids, 2014 - Elsevier
In this paper, we consider the numerical approximation of high order Partial Differential
Equations (PDEs) by means of NURBS-based Isogeometric Analysis (IGA) in the framework …

A fractional phase-field model for two-phase flows with tunable sharpness: algorithms and simulations

F Song, C Xu, GE Karniadakis - Computer Methods in Applied Mechanics …, 2016 - Elsevier
We develop a fractional extension of a mass-conserving Allen–Cahn phase field model that
describes the mixture of two incompressible fluids. The fractional order controls the …