Fast boundary-domain integral method for unsteady convection-diffusion equation with variable diffusivity using the modified Helmholtz fundamental solution

DOI10.1007/s11075-019-00664-3zbMath1442.65416OpenAlexW2910119284WikidataQ128584772 ScholiaQ128584772MaRDI QIDQ2009065

Jure Ravnik, Jan Tibuat

Publication date: 27 November 2019

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-019-00664-3

zbMATH Keywords

convection-diffusion equationboundary element methodwavelet transformhierarchical matricesmodified Helmholtz equationadaptive cross-approximation

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical methods for wavelets (65T60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80) Transport equations (35Q49)

Related Items (7)

On the well-posedness of two boundary-domain integral equation systems equivalent to the Dirichlet problem for the Stokes system with variable viscosity ⋮ Fast boundary-domain integral method with the \(\mathcal{H}^2\)-matrix formulation for large scale numerical investigations ⋮ On the analysis and numerics of united and segregated boundary-domain integral equation systems in 2D ⋮ An LT-BEM for an unsteady diffusion-convection problem of another class of anisotropic FGMs ⋮ NUMERICAL SOLUTIONS FOR 2D UNSTEADY LAPLACE-TYPE PROBLEMS OF ANISOTROPIC FUNCTIONALLY GRADED MATERIALS ⋮ A direct meshless method for solving two-dimensional second-order hyperbolic telegraph equations ⋮ Stochastic modelling of nanofluids using the fast boundary-domain integral method

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