[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 …
Numerical Models for Di erential Problems Alfio Quarteroni Third Edition Page 2 MS&A Volume …
[HTML][HTML] A new design for the implementation of isogeometric analysis in Octave and Matlab: GeoPDEs 3.0
R Vázquez - Computers & Mathematics with Applications, 2016 - Elsevier
Abstract GeoPDEs (http://rafavzqz. github. io/geopdes) is an Octave/Matlab package for the
solution of partial differential equations with isogeometric analysis, first released in 2010. In …
solution of partial differential equations with isogeometric analysis, first released in 2010. In …
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 …
Equations (PDEs) by means of NURBS-based Isogeometric Analysis (IGA) in the framework …
Isogeometric analysis of high order partial differential equations on surfaces
We consider the numerical approximation of high order Partial Differential Equations (PDEs)
defined on surfaces in the three dimensional space, with particular emphasis on closed …
defined on surfaces in the three dimensional space, with particular emphasis on closed …
[HTML][HTML] Multipatch isogeometric analysis for electrophysiology: simulation in a human heart
In the framework of cardiac electrophysiology for the human heart, we apply multipatch
NURBS-based Isogeometric Analysis for the space discretization of the Monodomain model …
NURBS-based Isogeometric Analysis for the space discretization of the Monodomain model …
[HTML][HTML] Almost-C1 splines: Biquadratic splines on unstructured quadrilateral meshes and their application to fourth order problems
T Takacs, D Toshniwal - Computer Methods in Applied Mechanics and …, 2023 - Elsevier
Isogeometric Analysis generalizes classical finite element analysis and intends to integrate it
with the field of Computer-Aided Design. A central problem in achieving this objective is the …
with the field of Computer-Aided Design. A central problem in achieving this objective is the …
Topology optimization of conformal structures on manifolds using extended level set methods (X-LSM) and conformal geometry theory
In this paper, we propose a new method to systematically address the issue of structural
shape and topology optimization on free-form surfaces. A free-form surface, also termed …
shape and topology optimization on free-form surfaces. A free-form surface, also termed …
Multipatch discontinuous Galerkin isogeometric analysis
Abstract Isogeometric Analysis (IgA) uses the same class of basis functions for both
representing the geometry of the computational domain and approximating the solution of …
representing the geometry of the computational domain and approximating the solution of …
On numerical integration in isogeometric subdivision methods for PDEs on surfaces
Subdivision surfaces offer great flexibility in capturing irregular topologies combined with
higher order smoothness. For instance, Loop and Catmull–Clark subdivision schemes …
higher order smoothness. For instance, Loop and Catmull–Clark subdivision schemes …
Isogeometric analysis with strong multipatch C1-coupling
C 1 continuity is desirable for solving 4th order partial differential equations such as those
appearing in Kirchhoff–Love shell models (Kiendl et al., 2009) or Cahn–Hilliard phase field …
appearing in Kirchhoff–Love shell models (Kiendl et al., 2009) or Cahn–Hilliard phase field …