A parallel multilevel partition of unity method for elliptic partial differential equations
type: Item
instance of: scholarly article
title: A parallel multilevel partition of unity method for elliptic partial differential equations
zbMATH Open document ID: 1016.65099
author: Marc Alexander Schweitzer
published in: Lecture Notes in Computational Science and Engineering
publication date: 2003-03-10T00:00:00Z
review text: The numerical treatment of elliptic partial differential equations with meshfree discretizations is described. In particular, an efficient parallel implementation of the partition of unity method is presented. A general numerical integration scheme for the assembly of the stiffness matrix is developed. Detailed information on the parallel implementation of the multilevel solver on distributed memory computers is provided. Numerical results in 2D and 3D with linear, higher order and augmented approximation spaces with up to 42 million degrees of freedom are presented.
Mathematics Subject Classification ID: 65N55
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 65N50
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 1878998
zbMATH Keywords: elliptic PDEs
zbMATH Keywords: meshfree methods
zbMATH Keywords: parallel computation
zbMATH Keywords: multilevel method
zbMATH Keywords: partition of unity method
zbMATH Keywords: numerical results
reviewed by: Wilhelm Heinrichs
describes a project that uses: PUMA
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1878998