Quadrature for parabolic Galerkin BEM with moving surfaces

DOI10.1016/j.camwa.2018.09.004zbMath1442.65237OpenAlexW2894510230WikidataQ129183225 ScholiaQ129183225MaRDI QIDQ2203705

Nicole Manson, Johannes Tausch

Publication date: 2 October 2020

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.09.004

zbMATH Keywords

Galerkin methodboundary element methoderror analysisnumerical quadraturetime dependent problemmoving geometry

Mathematics Subject Classification ID

Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical integration (65D30) Boundary element methods for initial value and initial-boundary value problems involving PDEs (65M38)

Related Items (7)

Adaptive quadrature rules for Galerkin BEM ⋮ Semi-analytic integration for a parallel space-time boundary element method modelling the heat equation ⋮ Almost Complete Analytical Integration in Galerkin Boundary Element Methods ⋮ A node elimination algorithm for cubature of high-dimensional polytopes ⋮ On the space-time discretization of variational retarded potential boundary integral equations ⋮ Space-Time Discretized Retarded Potential Boundary Integral Operators: Quadrature for Collocation Methods ⋮ Nyström method for BEM of the heat equation with moving boundaries

Cites Work

• Unnamed Item
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• Numerical quadrature for high-dimensional singular integrals over parallelotopes
• A fast Galerkin method for parabolic space-time boundary integral equations
• Boundary integral operators for the heat equation
• Boundary integral equations
• Crystal growth and dendritic solidification
• MFS with time-dependent fundamental solutions for unsteady Stokes equations
• Efficient automatic quadrature in 3-D Galerkin BEM
• The Galerkin boundary element method for transient Stokes flow
• Exponential Convergence of Gauss--Jacobi Quadratures for Singular Integrals over Simplices in Arbitrary Dimension
• Boundary Integral Solutions of the Heat Equation
• Numerical Simulations of Unsteady Crystal Growth
• Application of the boundary element method to transient heat conduction
• Higher-order boundary element methods for transient diffusion problems. Part I: Bounded flux formulation
• Boundary Integral Solvers for an Evolutionary Exterior Stokes Problem
• An Efficient Galerkin Boundary Element Method for the Transient Heat Equation
• Gravity induced sedimentation of slender fibers

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