An adaptive kernel-split quadrature method for parameter-dependent layer potentials
DOI10.1007/s10444-022-09927-5zbMath1483.65038arXiv2108.00372OpenAlexW2951151167MaRDI QIDQ2124747
Fredrik Fryklund, Ludvig af Klinteberg, Anna-Karin Tornberg
Publication date: 11 April 2022
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.00372
integral equationspartial differential equationslayer potentialsmodified Helmholtz equationmodified Stokes equation
Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Numerical integration (65D30) Numerical methods for partial differential equations, boundary value problems (65N99)
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Cites Work
- Second kind integral equation formulation for the modified biharmonic equation and its applications
- Fast integral equation methods for the modified Helmholtz equation
- Fast integral equation methods for Rothe's method applied to the isotropic heat equation
- A fast integral equation method for the two-dimensional Navier-Stokes equations
- Integral equation methods for elliptic problems with boundary conditions of mixed type
- NIST digital library of mathematical functions
- An integral equation-based numerical method for the forced heat equation on complex domains
- Variants of an explicit kernel-split panel-based Nyström discretization scheme for Helmholtz boundary value problems
- Error estimation for quadrature by expansion in layer potential evaluation
- An accurate integral equation method for simulating multi-phase Stokes flow
- On the evaluation of layer potentials close to their sources
- An Integral Equation Approach to the Incompressible Navier--Stokes Equations in Two Dimensions
- On Integral Equation Methods for the First Dirichlet Problem of the Biharmonic and Modified Biharmonic Equations in NonSmooth Domains
- Adaptive Quadrature by Expansion for Layer Potential Evaluation in Two Dimensions
- Barycentric Lagrange Interpolation
- Fast Solution for Solving the Modified Helmholtz Equation withthe Method of Fundamental Solutions
- Unnamed Item
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