A fast direct solver for nonlocal operators in wavelet coordinates
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Publication:2128345
DOI10.1016/j.jcp.2020.110056OpenAlexW3038905556MaRDI QIDQ2128345
Michael D. Multerer, Helmut Harbrecht
Publication date: 21 April 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.01541
direct solverfractional Laplaciannonlocal operatorGaussian random fieldswavelet matrix compressionpolarizable continuum model
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A Wavelet-Based Approach for the Simulation and Optimal Control of NonLocal Operator Equations ⋮ An explicitly-sparse representation for oscillatory kernels with wave atom-like functions ⋮ Computation and learning in high dimensions. Abstracts from the workshop held August 1--7, 2021 (hybrid meeting) ⋮ Samplets: construction and scattered data compression
Uses Software
Cites Work
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- An Explicit Link between Gaussian Fields and Gaussian Markov Random Fields: The Stochastic Partial Differential Equation Approach
- The fractional Laplacian operator on bounded domains as a special case of the nonlocal diffusion operator
- A fast nested dissection solver for Cartesian 3D elliptic problems using hierarchical matrices
- On the low-rank approximation by the pivoted Cholesky decomposition
- Covariance regularity and \(\mathcal {H}\)-matrix approximation for rough random fields
- Preconditioning of wavelet BEM by the incomplete Cholesky factorization
- Wavelet BEM on molecular surfaces: solvent excluded surfaces
- Wavelet BEM on molecular surfaces: parametrization and implementation
- On the fast matrix multiplication in the boundary element method by panel clustering
- New applications of integral equations methods for solvation continuum models: Ionic solutions and liquid crystals
- A sparse matrix arithmetic based on \({\mathfrak H}\)-matrices. I: Introduction to \({\mathfrak H}\)-matrices
- Fast random field generation with \(H\)-matrices
- A sparse \({\mathcal H}\)-matrix arithmetic: General complexity estimates
- A robust hierarchical solver for ill-conditioned systems with applications to ice sheet modeling
- Domain decomposition based \({\mathcal H}\)-LU preconditioning
- SelInv---An Algorithm for Selected Inversion of a Sparse Symmetric Matrix
- Biorthogonal wavelet bases for the boundary element method
- 10.1162/15324430260185646
- Hierarchical Interpolative Factorization for Elliptic Operators: Differential Equations
- Fast wavelet transforms and numerical algorithms I
- The Use of Linear Graphs in Gauss Elimination
- Numerical Approximation Methods for Elliptic Boundary Value Problems
- Wavelets with patchwise cancellation properties
- Efficient approximation of random fields for numerical applications
- Generalized Nested Dissection
- Algorithmic Aspects of Vertex Elimination on Graphs
- A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs
- Analysis of Circulant Embedding Methods for Sampling Stationary Random Fields
- Gaussian Markov Random Fields
- Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints
- Multilevel approximation of Gaussian random fields: Fast simulation
- An Algebraic Sparsified Nested Dissection Algorithm Using Low-Rank Approximations
- Wavelet Galerkin Schemes for Boundary Integral Equations---Implementation and Quadrature
- Compression Techniques for Boundary Integral Equations---Asymptotically Optimal Complexity Estimates
- Nested Dissection of a Regular Finite Element Mesh
- A fast algorithm for particle simulations
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