Work

Overlapping subspaces and singular systems with application to Isogeometric Analysis

Year: 2024

Type: preprint

Abstract: We propose a framework for solving partial differential equations (PDEs) motivated by isogeometric analysis (IGA) and local tensor-product splines. Instead of using a global basis for the solution space we use as generators the disjoint union of subspace bases. This leads to a potentially singular linear system, which is handled by a Krylov linear solver. The framework may offer computational advantages in dealing with spaces like Hierarchical B-splines, T-splines, and LR-splines.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2408.17273

Authors: Bressan, Andrea, Martinelli, Massimiliano, Sangalli, Giancarlo

Institutions: Istituto di Matematica Applicata e Tecnologie Informatiche, University of Pavia

Language: English

Topic: Advanced Numerical Analysis Techniques

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Gruppo Nazionale per il Calcolo Scientifico

Awards: G5245466801, G5796505130

OpenAlex ID: W4402951794

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