Boundary element quadrature schemes for multi- and many-core architectures

DOI10.1016/j.camwa.2017.01.018zbMath1375.65164OpenAlexW2588843388MaRDI QIDQ2406758

Jan Zapletal, Michal Merta, Lukáš Malý

Publication date: 6 October 2017

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2017.01.018

zbMATH Keywords

boundary element methodquadraturevectorizationhigh performance computingnumerical resultmany-core architectureSIMDquadratic complexityIntel Xeon PhiBEM4I library

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Complexity and performance of numerical algorithms (65Y20) Boundary element methods for boundary value problems involving PDEs (65N38) Numerical algorithms for specific classes of architectures (65Y10)

Related Items (5)

Adaptive quadrature rules for Galerkin BEM ⋮ Semi-analytic integration for a parallel space-time boundary element method modelling the heat equation ⋮ Shape optimization and subdivision surface based approach to solving 3D Bernoulli problems ⋮ Distributed fast boundary element methods for Helmholtz problems ⋮ Parallel and vectorized implementation of analytic evaluation of boundary integral operators

Uses Software

• BEM4I
• Vc
• GitHub

Cites Work

• Finite and boundary element tearing and interconnecting solvers for multiscale problems
• Effective semi-analytic integration for hypersingular Galerkin boundary integral equations for the Helmholtz equation in 3D.
• A parallel fast boundary element method using cyclic graph decompositions
• Hierarchical matrices. A means to efficiently solve elliptic boundary value problems
• An efficient algebraic multigrid preconditioner for a fast multipole boundary element method
• Streaming SIMD extensions applied to boundary element codes
• Rapid solution of integral equations of classical potential theory
• Boundary element tearing and interconnecting methods
• Efficient automatic quadrature in 3-D Galerkin BEM
• On the use of a SIMD vector extension for the fast evaluation of boundary element method coefficients
• The fast solution of boundary integral equations.
• Boundary element based multiresolution shape optimisation in electrostatics
• Finite element numerical integration for first order approximations on multi- and many-core architectures
• Many Core Acceleration of the Boundary Element Method
• Fast Multipole Methods and Applications
• Artificial Multilevel Boundary Element Preconditioners
• The all-floating boundary element tearing and interconnecting method
• Numerical Approximation Methods for Elliptic Boundary Value Problems
• A fast algorithm for particle simulations

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