A high-order fast boundary element method with near-boundary stability for field emission from nanoscale structures
DOI10.4208/cicp.oa-2023-0348zbMath1547.78013MaRDI QIDQ6620371
Bela Erdelyi, Alister J. Tencate
Publication date: 16 October 2024
Published in: Communications in Computational Physics (Search for Journal in Brave)
quadrature by expansiondifferential algebraic frameworkfast-multipole accelerated boundary element methodhigh-order boundary interpolation
Boundary element methods applied to problems in optics and electromagnetic theory (78M15) Differential algebra (12H05) Linear boundary value problems for ordinary differential equations (34B05) Multipole methods applied to problems in optics and electromagnetic theory (78M16)
Cites Work
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- Parallel higher-order boundary integral electrostatics computation on molecular surfaces with curved triangulation
- Quadrature by expansion: a new method for the evaluation of layer potentials
- High-order accurate methods for Nyström discretization of integral equations on smooth curves in the plane
- A general algorithm for the numerical evaluation of nearly singular integrals on 3D boundary element
- Rational curves and surfaces with rational offsets
- The evaluation of Cauchy principal value integrals in the boundary element method - a review
- A regularized boundary integral equation method for elastodynamic crack problems
- Some numerical integration formulae over triangles and squares with a 1/r singularity
- A weakly singular form of the hypersingular boundary integral equation applied to 3-D acoustic wave problems
- The numerical evaluation of principal value integrals by finite-part integration
- Numerical solution of the Helmholtz equation in 2D and 3D using a high-order Nyström discretization
- Variable order composite quadrature of singular and nearly singular integrals
- Distance transformation for the numerical evaluation of near singular boundary integrals with various kernels in boundary element method
- Hermite interpolation by piecewise polynomial surfaces with polynomial area element
- Ubiquitous evaluation of layer potentials using quadrature by kernel-independent expansion
- Evaluation of nearly singular integrals in isogeometric boundary element method
- Fast algorithms for quadrature by expansion. I: Globally valid expansions
- Traction BIE solutions for flat cracks
- An adaptive fast multipole method in Cartesian basis, enabled by algorithmic differentiation
- Optimization of fast algorithms for global quadrature by expansion using target-specific expansions
- A fast algorithm with error bounds for quadrature by expansion
- Analysis of three-dimensional anisotropic heat conduction problems on thin domains using an advanced boundary element method
- Variable transformations for nearly singular integrals in the boundary element method
- Simple local interpolation of surfaces using normal vectors
- A Method for Computing Nearly Singular Integrals
- On the Convergence of Local Expansions of Layer Potentials
- Evaluation of Layer Potentials Close to the Boundary for Laplace and Helmholtz Problems on Analytic Planar Domains
- Accurate numerical integration of singular boundary element kernels over boundaries with curvature
- Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
- Taylor expansions for singular kernels in the boundary element method
- A self‐adaptive co‐ordinate transformation for efficient numerical evaluation of general boundary element integrals
- Quadrature Over a Pyramid or Cube of Integrands with a Singularity at a Vertex
- Effective numerical treatment of boundary integral equations: A formulation for three‐dimensional elastostatics
- Some notes on singular integral techniques in boundary element analysis
- The Numerical Solution of Integral Equations of the Second Kind
- Weighted Approximate Fekete Points: Sampling for Least-Squares Polynomial Approximation
- Adaptive Quadrature by Expansion for Layer Potential Evaluation in Two Dimensions
- A Grid-Based Boundary Integral Method for Elliptic Problems in Three Dimensions
- Two-Dimensional Quadrature for Functions with a Point Singularity on a Triangular Region
- A novel grid-robust higher order vector basis function for the method of moments
- On deriving a locally corrected nystrom scheme from a quadrature sampled moment method
- A Fast Accurate Boundary Integral Method for Potentials on Closely Packed Cells
- A Cardinal Function Algorithm for Computing Multivariate Quadrature Points
- Symmetric Quadrature Formulae for Simplexes
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