Discrete Conservation Laws on Evolving Surfaces

DOI10.1137/151003453zbMath1339.65171OpenAlexW2418007304MaRDI QIDQ2811996

Sheng-Gwo Chen, Jyh-Yang Wu

Publication date: 10 June 2016

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/151003453

zbMATH Keywords

finite element methodconservation lawsdiffusion equationsevolving surfacestwo-step algorithmlocal tangential lifting method

Mathematics Subject Classification ID

Heat equation (35K05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (5)

Direct discretization method for the Cahn-Hilliard equation on an evolving surface ⋮ Binary thermal fluids computation over arbitrary surfaces with second-order accuracy and unconditional energy stability based on phase-field model ⋮ A fully Lagrangian meshfree framework for PDEs on evolving surfaces ⋮ A second-order accurate, unconditionally energy stable numerical scheme for binary fluid flows on arbitrarily curved surfaces ⋮ A face-based LTL method for solving diffusion equations and Cahn-Hilliard equations on stationary surfaces

Uses Software

• chammp

Cites Work

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• Scalar conservation laws on moving hypersurfaces
• Geometric error of finite volume schemes for conservation laws on evolving surfaces
• High-order algorithms for Laplace-Beltrami operators and geometric invariants over curved surfaces
• An immersed boundary method for interfacial flows with insoluble surfactant
• A standard test set for numerical approximations to the shallow water equations in spherical geometry
• Estimating normal vectors and curvatures by centroid weights
• A local tangential lifting differential method for triangular meshes
• Finite elements on evolving surfaces
• Discrete Conservation Laws on Curved Surfaces
• Variational problems and partial differential equations on implicit surfaces

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