Nothing Special   »   [go: up one dir, main page]

Hofreither et al., 2017 - Google Patents

Robust multigrid for isogeometric analysis based on stable splittings of spline spaces

Hofreither et al., 2017

View PDF
Document ID
6528400440755749587
Author
Hofreither C
Takacs S
Publication year
Publication venue
SIAM Journal on Numerical Analysis

External Links

Snippet

We present a robust and efficient multigrid method for single-patch isogeometric discretizations using tensor product B-splines of maximum smoothness. Our method is based on a stable splitting of the spline space into a large subspace of “interior” splines …
Continue reading at arxiv.org (PDF) (other versions)

Classifications

    • GPHYSICS
    • G06COMPUTING; CALCULATING; COUNTING
    • G06FELECTRICAL DIGITAL DATA PROCESSING
    • G06F17/00Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/50Computer-aided design
    • G06F17/5009Computer-aided design using simulation
    • G06F17/5036Computer-aided design using simulation for analog modelling, e.g. for circuits, spice programme, direct methods, relaxation methods
    • GPHYSICS
    • G06COMPUTING; CALCULATING; COUNTING
    • G06FELECTRICAL DIGITAL DATA PROCESSING
    • G06F17/00Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/50Computer-aided design
    • G06F17/5009Computer-aided design using simulation
    • G06F17/5018Computer-aided design using simulation using finite difference methods or finite element methods
    • GPHYSICS
    • G06COMPUTING; CALCULATING; COUNTING
    • G06FELECTRICAL DIGITAL DATA PROCESSING
    • G06F17/00Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/50Computer-aided design
    • G06F17/5068Physical circuit design, e.g. layout for integrated circuits or printed circuit boards
    • G06F17/5081Layout analysis, e.g. layout verification, design rule check
    • GPHYSICS
    • G06COMPUTING; CALCULATING; COUNTING
    • G06FELECTRICAL DIGITAL DATA PROCESSING
    • G06F17/00Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/10Complex mathematical operations
    • G06F17/11Complex mathematical operations for solving equations, e.g. nonlinear equations, general mathematical optimization problems
    • G06F17/13Differential equations
    • GPHYSICS
    • G06COMPUTING; CALCULATING; COUNTING
    • G06FELECTRICAL DIGITAL DATA PROCESSING
    • G06F17/00Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/10Complex mathematical operations
    • G06F17/11Complex mathematical operations for solving equations, e.g. nonlinear equations, general mathematical optimization problems
    • G06F17/12Simultaneous equations, e.g. systems of linear equations
    • GPHYSICS
    • G06COMPUTING; CALCULATING; COUNTING
    • G06FELECTRICAL DIGITAL DATA PROCESSING
    • G06F17/00Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/10Complex mathematical operations
    • G06F17/14Fourier, Walsh or analogous domain transformations, e.g. Laplace, Hilbert, Karhunen-Loeve, transforms
    • G06F17/141Discrete Fourier transforms
    • GPHYSICS
    • G06COMPUTING; CALCULATING; COUNTING
    • G06FELECTRICAL DIGITAL DATA PROCESSING
    • G06F17/00Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/10Complex mathematical operations
    • G06F17/17Function evaluation by approximation methods, e.g. inter- or extrapolation, smoothing, least mean square method
    • GPHYSICS
    • G06COMPUTING; CALCULATING; COUNTING
    • G06FELECTRICAL DIGITAL DATA PROCESSING
    • G06F17/00Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/10Complex mathematical operations
    • G06F17/16Matrix or vector computation, e.g. matrix-matrix or matrix-vector multiplication, matrix factorization
    • GPHYSICS
    • G06COMPUTING; CALCULATING; COUNTING
    • G06FELECTRICAL DIGITAL DATA PROCESSING
    • G06F17/00Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/50Computer-aided design
    • G06F17/5045Circuit design
    • G06F17/505Logic synthesis, e.g. technology mapping, optimisation
    • GPHYSICS
    • G06COMPUTING; CALCULATING; COUNTING
    • G06FELECTRICAL DIGITAL DATA PROCESSING
    • G06F17/00Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/10Complex mathematical operations
    • G06F17/18Complex mathematical operations for evaluating statistical data, e.g. average values, frequency distributions, probability functions, regression analysis
    • GPHYSICS
    • G06COMPUTING; CALCULATING; COUNTING
    • G06GANALOGUE COMPUTERS
    • G06G7/00Devices in which the computing operation is performed by varying electric or magnetic quantities
    • G06G7/12Arrangements for performing computing operations, e.g. operational amplifiers
    • GPHYSICS
    • G06COMPUTING; CALCULATING; COUNTING
    • G06FELECTRICAL DIGITAL DATA PROCESSING
    • G06F17/00Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/30Information retrieval; Database structures therefor; File system structures therefor
    • GPHYSICS
    • G06COMPUTING; CALCULATING; COUNTING
    • G06FELECTRICAL DIGITAL DATA PROCESSING
    • G06F2217/00Indexing scheme relating to computer aided design [CAD]
    • G06F2217/46Fuselage
    • GPHYSICS
    • G06COMPUTING; CALCULATING; COUNTING
    • G06TIMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T17/00Three dimensional [3D] modelling, e.g. data description of 3D objects
    • G06T17/30Polynomial surface description
    • GPHYSICS
    • G06COMPUTING; CALCULATING; COUNTING
    • G06GANALOGUE COMPUTERS
    • G06G7/00Devices in which the computing operation is performed by varying electric or magnetic quantities
    • G06G7/48Analogue computers for specific processes, systems or devices, e.g. simulators
    • GPHYSICS
    • G06COMPUTING; CALCULATING; COUNTING
    • G06TIMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T11/002D [Two Dimensional] image generation

Similar Documents

Publication Publication Date Title
Hofreither et al. Robust multigrid for isogeometric analysis based on stable splittings of spline spaces
Friedrich et al. An entropy stable h/p non-conforming discontinuous Galerkin method with the summation-by-parts property
Doha et al. An efficient direct solver for multidimensional elliptic Robin boundary value problems using a Legendre spectral-Galerkin method
Hofreither et al. A robust multigrid method for isogeometric analysis in two dimensions using boundary correction
Bredies et al. Preconditioned Douglas–Rachford algorithms for TV-and TGV-regularized variational imaging problems
Chen Finite Element Method, The: Its Fundamentals And Applications In Engineering
Hong et al. A robust multigrid method for discontinuous Galerkin discretizations of Stokes and linear elasticity equations
Charles et al. Enhanced convergence estimates for semi-Lagrangian schemes application to the Vlasov--Poisson equation
Blair et al. Logarithmic improvements in L^ p L p bounds for eigenfunctions at the critical exponent in the presence of nonpositive curvature
Dölz et al. Covariance regularity and H H-matrix approximation for rough random fields
Chen et al. Multigrid preconditioners for mixed finite element methods of the vector Laplacian
Karatzas et al. A reduced-order shifted boundary method for parametrized incompressible Navier–Stokes equations
Bercovier et al. Overlapping non matching meshes domain decomposition method in isogeometric analysis
Xu et al. Isogeometric collocation method for the fractional Laplacian in the 2D bounded domain
Medvinsky et al. Direct implementation of high order BGT artificial boundary conditions
Wawrzinek et al. Integration of generalized B-spline functions on Catmull–Clark surfaces at singularities
Friedrich et al. Conservative and stable degree preserving SBP operators for non-conforming meshes
Harbrecht et al. Multiresolution kernel matrix algebra
Hell et al. Modification of dimension-splitting methods—overcoming the order reduction due to corner singularities
Bouhamidi et al. A meshless RBF method for computing a numerical solution of unsteady Burgers’-type equations
Masouri Numerical expansion-iterative method for solving second kind Volterra and Fredholm integral equations using block-pulse functions
de Almeida et al. An efficient methodology for stress‐based finite element approximations in two‐dimensional elasticity
Jones et al. A multigrid method for variable coefficient Maxwell's equations
Bochev et al. Constrained-optimization based data transfer: A new perspective on flux correction
Nasir et al. Direct Normal Form Analysis of Oscillators with Different‎ Combinations of Geometric Nonlinear Stiffness Terms