Approximate integrals over bounded volumes with smooth boundaries
From MaRDI portal
Publication:6105088
DOI10.1016/j.jcp.2023.112235arXiv2101.09842OpenAlexW3123745876MaRDI QIDQ6105088
Publication date: 16 June 2023
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.09842
Numerical approximation and computational geometry (primarily algorithms) (65Dxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Approximations and expansions (41Axx)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Numerical integration over implicitly defined domains for higher order unfitted finite element methods
- On the role of polynomials in RBF-FD approximations: II. Numerical solution of elliptic PDEs
- \(n\)-parameter families and best approximation
- Numerical quadrature over smooth surfaces with boundaries
- An improved Gregory-like method for 1-D quadrature
- Approximate integrals over the volume of the ball
- An insight into RBF-FD approximations augmented with polynomials
- On the role of polynomials in RBF-FD approximations. III: Behavior near domain boundaries
- Numerical Quadrature over the Surface of a Sphere
- Highly accurate surface and volume integration on implicit domains by means of moment-fitting
- Numerical Integration in Multiple Dimensions with Designed Quadrature
- On Haar's Theorem Concerning Chebychev Approximation Problems Having Unique Solutions
- A Primer on Radial Basis Functions with Applications to the Geosciences
- A Simple Mesh Generator in MATLAB
- High-order Numerical Quadratures in a Tetrahedron with an Implicitly Defined Curved Interface
- Solving PDEs with radial basis functions
- High-Order Quadrature Methods for Implicitly Defined Surfaces and Volumes in Hyperrectangles
- A Class of Methods for Solving Nonlinear Simultaneous Equations
- Numerical quadrature over smooth, closed surfaces
- Scattered Data Approximation