A low-rank isogeometric solver based on Tucker tensors

On the convergence of Krylov methods with low-rank truncations

(2021) Davide Palitta et al.   NUMERICAL ALGORITHMS

A boundary penalization technique to remove outliers from isogeometric analysis on tensor-product meshes

(2021) Quanling Deng et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Removal of spurious outlier frequencies and modes from isogeometric discretizations of second- and fourth-order problems in one, two, and three dimensions

(2021) René R. Hiemstra et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Application of optimal spline subspaces for the removal of spurious outliers in isogeometric discretizations

(2021) Carla Manni et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Explicit error estimates for spline approximation of arbitrary smoothness in isogeometric analysis

(2020) Espen Sande et al.   NUMERISCHE MATHEMATIK

A Low-Rank Tensor Method for PDE-Constrained Optimization with Isogeometric Analysis

(2020) Alexandra Bünger et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

p-multigrid methods and their comparison to h-multigrid methods within Isogeometric Analysis

(2020) R. Tielen et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Greedy low-rank approximation in Tucker format of solutions of tensor linear systems

(2019) I. Georgieva et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Low-rank Parameterization of Volumetric Domains for Isogeometric Analysis

(2019) Maodong Pan et al.   COMPUTER-AIDED DESIGN

A black-box low-rank approximation algorithm for fast matrix assembly in Isogeometric Analysis

(2018) Clemens Hofreither   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Refined Isogeometric Analysis for a preconditioned conjugate gradient solver

(2018) Daniel Garcia et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Are the eigenvalues of the B-spline isogeometric analysis approximation of − Δ u   =   λ u known in almost closed form?

(2018) Sven-Erik Ekström et al.   NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS

Robust Multigrid for Isogeometric Analysis Based on Stable Splittings of Spline Spaces

(2017) Clemens Hofreither et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Recompression of Hadamard Products of Tensors in Tucker Format

(2017) Daniel Kressner et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Adaptive Selection of Primal Constraints for Isogeometric BDDC Deluxe Preconditioners

(2017) L. Beira͂o da Veiga et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Isogeometric Preconditioners Based on Fast Solvers for the Sylvester Equation

(2016) Giancarlo Sangalli et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Robust and optimal multi-iterative techniques for IgA Galerkin linear systems

(2015) Marco Donatelli et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Mathematical analysis of variational isogeometric methods

(2014) L. Beirão da Veiga et al.   ACTA NUMERICA

A New Truncation Strategy for the Higher-Order Singular Value Decomposition

(2012) Nick Vannieuwenhoven et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Solving stochastic systems with low-rank tensor compression

(2011) Hermann G. Matthies et al.   LINEAR ALGEBRA AND ITS APPLICATIONS

Low-Rank Tensor Krylov Subspace Methods for Parametrized Linear Systems

(2011) Daniel Kressner et al.   SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS

Krylov Subspace Methods for Linear Systems with Tensor Product Structure

(2010) Daniel Kressner et al.   SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS

Linear algebra for tensor problems

(2009) I. V. Oseledets et al.   COMPUTING

Tensor Decompositions and Applications

(2009) Tamara G. Kolda et al.   SIAM REVIEW