A parallel direct solver for the self-adaptive \(hp\) finite element method

DOI10.1016/j.jpdc.2009.09.007zbMath1233.68079OpenAlexW2071362730MaRDI QIDQ666048

Carlos Torres-Verdín, David Pardo, Leszek F. Demkowicz, Victor Manuel Calo, Maciej Paszynski

Publication date: 7 March 2012

Published in: Journal of Parallel and Distributed Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpdc.2009.09.007

zbMATH Keywords

finite element method\(hp\) adaptivityparallel direct solvers3D borehole resistivity

Mathematics Subject Classification ID

Distributed systems (68M14)

Related Items (5)

Computational cost estimates for parallel shared memory isogeometric multi-frontal solvers ⋮ Modeling of bone conduction of sound in the human head using hp-finite elements: code design and verification ⋮ A survey on direct solvers for Galerkin methods ⋮ A hybrid method for inversion of 3D DC resistivity logging measurements ⋮ Computational cost of isogeometric multi-frontal solvers on parallel distributed memory machines

Uses Software

• MUMPS
• 3Dhp90
• par2Dhp

Cites Work

• Unnamed Item
• A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling
• Fourier series expansion in a non-orthogonal system of coordinates for the simulation of 3D-DC borehole resistivity measurements
• A parallel multifrontal algorithm and its implementation
• Multifrontal parallel distributed symmetric and unsymmetric solvers
• Fully automatic \(hp\)-adaptivity in three dimensions
• Parallel, fully automatic \(hp\)-adaptive \(2d\) finite element package
• The Multifrontal Solution of Unsymmetric Sets of Linear Equations
• Two‐Dimensional High‐Accuracy Simulation of Resistivity Log ging‐While‐Drilling (LWD) Measurements Using a Self‐Adaptiv e Goal‐Oriented $hp$ Finite Element Method
• Iterative versus direct parallel substructuring methods in semiconductor device modelling
• The Multifrontal Solution of Indefinite Sparse Symmetric Linear
• A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs
• Parallel frontal solvers for large sparse linear systems
• Computing with hp-ADAPTIVE FINITE ELEMENTS
• A frontal solution program for finite element analysis

This page was built for publication: A parallel direct solver for the self-adaptive \(hp\) finite element method