A direct solver with reutilization of Lu factorizations for \(h\)-adaptive finite element grids with point singularities

DOI10.1016/j.camwa.2013.02.006zbMath1319.65116arXiv1212.1992OpenAlexW62823550WikidataQ114201601 ScholiaQ114201601MaRDI QIDQ493500

David Pardo, Maciej Paszynski, Victor Manuel Calo

Publication date: 3 September 2015

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.1992

zbMATH Keywords

finite element methoddirect solver\(h\) adaptationlinear computational costreutilization

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (3)

Adaptive finite element analysis of elliptic problems based on bubble-type local mesh generation ⋮ Using a graph grammar system in the finite element method ⋮ Direct solvers performance on \(h\)-adapted grids

Uses Software

• MUMPS
• METIS

Cites Work

• Unnamed Item
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• The Multifrontal Solution of Indefinite Sparse Symmetric Linear
• The design, implementation, and evaluation of a symmetric banded linear solver for distributed-memory parallel computers
• Recent advances in direct methods for solving unsymmetric sparse systems of linear equations
• Computing with hp-ADAPTIVE FINITE ELEMENTS
• A frontal solution program for finite element analysis
• Towards a tighter coupling of bottom-up and top-down sparse matrix ordering methods

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