Refined isogeometric analysis for fluid mechanics and electromagnetics

DOI10.1016/j.cma.2019.06.011zbMath1441.76060OpenAlexW2966854252MaRDI QIDQ2173649

Yanyan Li

Publication date: 17 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2019.06.011

zbMATH Keywords

finite element analysis (FEA)isogeometric analysis (IGA)multi-field problemsk-refinementrefined isogeometric analysis (rIGA)solver-based discretization

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items

Refined isogeometric analysis of quadratic eigenvalue problems ⋮ Machine learning discovery of optimal quadrature rules for isogeometric analysis ⋮ Effects of parameterization and knot placement techniques on primal and mixed isogeometric collocation formulations of spatial shear-deformable beams with varying curvature and torsion ⋮ Refined isogeometric analysis for generalized Hermitian eigenproblems ⋮ Tensor train based isogeometric analysis for PDE approximation on parameter dependent geometries

Uses Software

• MUMPS
• PetIGA

Cites Work

• Unnamed Item
• A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling
• Isogeometric divergence-conforming B-splines for the unsteady Navier-Stokes equations
• The cost of continuity: a study of the performance of isogeometric finite elements using direct solvers
• Isogeometric analysis in electromagnetics: B-splines approximation
• Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
• Studies of refinement and continuity in isogeometric structural analysis
• Weak Dirichlet boundary conditions for wall-bounded turbulent flows
• Efficient sparse LU factorization with left-right looking strategy on shared memory multiprocessors
• Benchmark spectral results on the lid-driven cavity flow
• Refined isogeometric analysis for a preconditioned conjugate gradient solver
• PetIGA: a framework for high-performance isogeometric analysis
• The value of continuity: refined isogeometric analysis and fast direct solvers
• Spectral approximation properties of isogeometric analysis with variable continuity
• Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. (On a variational principle for solving Dirichlet problems less boundary conditions using subspaces)
• On calculating with B-splines
• An Augmented Incomplete Factorization Approach for Computing the Schur Complement in Stochastic Optimization
• On the computational efficiency of isogeometric methods for smooth elliptic problems using direct solvers
• Energy exchange analysis in droplet dynamics via the Navier–Stokes–Cahn–Hilliard model
• IsoGeometric Analysis: Stable elements for the 2D Stokes equation
• The Multifrontal Solution of Indefinite Sparse Symmetric Linear
• Isogeometric Analysis
• ISOGEOMETRIC DIVERGENCE-CONFORMING B-SPLINES FOR THE DARCY–STOKES–BRINKMAN EQUATIONS
• ISOGEOMETRIC DIVERGENCE-CONFORMING B-SPLINES FOR THE STEADY NAVIER–STOKES EQUATIONS
• The Numerical Evaluation of B-Splines

This page was built for publication: Refined isogeometric analysis for fluid mechanics and electromagnetics