Corrected trapezoidal rules for singular implicit boundary integrals
DOI10.1016/j.jcp.2022.111193OpenAlexW3178158451WikidataQ114163324 ScholiaQ114163324MaRDI QIDQ2138003
Olof Runborg, Federico Izzo, Yen-Hsi Richard Tsai
Publication date: 11 May 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.01438
singular integralslevel set methodstrapezoidal rulesclosest point projectionboundary integral formulations
Numerical approximation and computational geometry (primarily algorithms) (65Dxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx)
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Cites Work
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- Integration over curves and surfaces defined by the closest point mapping
- An implicit interface boundary integral method for Poisson's equation on arbitrary domains
- Quadrature by expansion: a new method for the evaluation of layer potentials
- Level set equations on surfaces via the closest point method
- A high-order 3D boundary integral equation solver for elliptic PDEs in smooth domains
- Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
- An implicit boundary integral method for computing electric potential of macromolecules in solvent
- Equivalent extensions of partial differential equations on surfaces
- Zeta correction: a new approach to constructing corrected trapezoidal quadrature rules for singular integral operators
- Corrected trapezoidal rules for boundary integral equations in three dimensions
- Equivalent extensions of Hamilton-Jacobi-Bellman equations on hypersurfaces
- A coupled grid based particle and implicit boundary integral method for two-phase flows with insoluble surfactant
- Volumetric variational principles for a class of partial differential equations defined on surfaces and curves
- Implicit boundary integral methods for the Helmholtz equation in exterior domains
- A simple embedding method for solving partial differential equations on surfaces
- A Method for Computing Nearly Singular Integrals
- Evaluation of Single Layer Potentials over Curved Surfaces
- Corrected trapezoidal rules for a class of singular functions
- The Implicit Closest Point Method for the Numerical Solution of Partial Differential Equations on Surfaces
- Numerical Calculation of Three-Dimensional Interfacial Potential Flows Using the Point Vortex Method
- High-Order Corrected Trapezoidal Quadrature Rules for Singular Functions
- An extrapolative approach to integration over hypersurfaces in the level set framework
- Integral Equation Methods in Scattering Theory
- A fast, high-order algorithm for the solution of surface scattering problems: Basic implementation, tests, and applications