High order numerical methods to two dimensional delta function integrals in level set methods

DOI10.1016/j.jcp.2009.03.004zbMath1167.65008OpenAlexW2076595156MaRDI QIDQ1025177

Xin Wen

Publication date: 18 June 2009

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2009.03.004

zbMATH Keywords

algorithmsnumerical exampleserror estimatelevel set methoddelta function integralerror analyzeshigh order numerical method

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Algorithms for approximation of functions (65D15)

Related Items (11)

High-order quadrature on multi-component domains implicitly defined by multivariate polynomials ⋮ Simple multidimensional integration of discontinuous functions with application to level set methods ⋮ A high order numerical method for computing physical observables in the semiclassical limit of the one-dimensional linear Schrödinger equation with discontinuous potentials ⋮ Highly accurate surface and volume integration on implicit domains by means of moment-fitting ⋮ Third-order accurate initialization of volume fractions on unstructured meshes with arbitrary polyhedral cells ⋮ Highly accurate computation of volume fractions using differential geometry ⋮ An extrapolative approach to integration over hypersurfaces in the level set framework ⋮ Bloch decomposition-based Gaussian beam method for the Schrödinger equation with periodic potentials ⋮ Gaussian beam methods for the Schrödinger equation with discontinuous potentials ⋮ Solving Poisson-type equations with Robin boundary conditions on piecewise smooth interfaces ⋮ High-Order Quadrature Methods for Implicitly Defined Surfaces and Volumes in Hyperrectangles

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