Volumetric variational principles for a class of partial differential equations defined on surfaces and curves

DOI10.1007/s40687-018-0137-1zbMath1431.65131arXiv1706.02903OpenAlexW2963356092MaRDI QIDQ2319750

Jay Chu, Yen-Hsi Richard Tsai

Publication date: 20 August 2019

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.02903

zbMATH Keywords

PDE defined on surfaces and curvesvolumetric variational principles

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Integro-partial differential equations (35R09) Fictitious domain methods for initial value and initial-boundary value problems involving PDEs (65M85)

Related Items (11)

Corrected trapezoidal rules for singular implicit boundary integrals ⋮ Solving Partial Differential Equations on Closed Surfaces with Planar Cartesian Grids ⋮ A closest point method library for PDEs on surfaces with parallel domain decomposition solvers and preconditioners ⋮ Side effects of learning from low-dimensional data embedded in a Euclidean space ⋮ High-order corrected trapezoidal rules for a class of singular integrals ⋮ Equivalent extensions of Hamilton-Jacobi-Bellman equations on hypersurfaces ⋮ A meshfree generalized finite difference method for surface PDEs ⋮ A coupled grid based particle and implicit boundary integral method for two-phase flows with insoluble surfactant ⋮ Schwarz Solvers and Preconditioners for the Closest Point Method ⋮ An RBF-FD closest point method for solving PDEs on surfaces ⋮ A time-continuous embedding method for scalar hyperbolic conservation laws on manifolds

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