Smoothed Boundary Method for Diffusion-Related Partial Differential Equations in Complex Geometries

DOI10.1142/S0219876218500147zbMath1404.65149OpenAlexW2724716764MaRDI QIDQ4563132

S. O. Poulsen, Peter W. Voorhees

Publication date: 6 June 2018

Published in: International Journal of Computational Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219876218500147

zbMATH Keywords

diffusionpartial differential equationssmoothed boundary method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Boundary element methods for initial value and initial-boundary value problems involving PDEs (65M38)

Related Items (5)

Improving accuracy of volume penalised fluid-solid interactions ⋮ Smoothed boundary method for simulating incompressible flow in complex geometries ⋮ Novel Transparent Boundary Conditions for the Regularized Long Wave Equation ⋮ Higher-order accurate diffuse-domain methods for partial differential equations with Dirichlet boundary conditions in complex, evolving geometries ⋮ A diffuse domain method for two-phase flows with large density ratio in complex geometries

Uses Software

• Matlab
• DLMF

Cites Work

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• PDE's on surfaces -- a diffusive interface approach
• Analysis of the diffuse-domain method for solving PDEs in complex geometries
• Solving PDEs in complex geometries: a diffuse domain approach
• Level set methods and dynamic implicit surfaces
• Spectral Methods for Partial Differential Equations in Irregular Domains: The Spectral Smoothed Boundary Method
• A fast marching level set method for monotonically advancing fronts.
• A method for the solution of certain non-linear problems in least squares

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