Operator-adapted wavelets for finite-element differential forms
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Publication:2220602
DOI10.1016/j.jcp.2019.02.018zbMath1452.65226OpenAlexW2921037319MaRDI QIDQ2220602
Mathieu Desbrun, Houman Owhadi, Max Budninskiy
Publication date: 25 January 2021
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://resolver.caltech.edu/CaltechAUTHORS:20190315-100824617
Navier-Stokes equations for incompressible viscous fluids (76D05) Numerical methods for wavelets (65T60) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)
Related Items (2)
\(\Psi\text{ec}\): a local spectral exterior calculus ⋮ Iterated Numerical Homogenization for MultiScale Elliptic Equations with Monotone Nonlinearity
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Cites Work
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- Construction of scalar and vector finite element families on polygonal and polyhedral meshes
- Discrete Lie advection of differential forms
- Structure-preserving discretization of incompressible fluids
- Geometric, variational discretization of continuum theories
- Gamblets for opening the complexity-bottleneck of implicit schemes for hyperbolic and parabolic ODEs/PDEs with rough coefficients
- The chain collocation method: a spectrally accurate calculus of forms
- Discrete exterior calculus discretization of incompressible Navier-Stokes equations over surface simplicial meshes
- Goal-oriented, model-constrained optimization for reduction of large-scale systems
- An efficient fluid-solid coupling algorithm for single-phase flows
- On multiresolution methods in numerical analysis
- Mixed finite elements in \(\mathbb{R}^3\)
- Manifolds, tensor analysis, and applications.
- A multiresolution strategy for reduction of elliptic PDEs and eigenvalue problems
- LU factorization of non-standard forms and direct multiresolution solvers
- The variational multiscale method -- a paradigm for computational mechanics
- Wavelet bases adapted to pseudodifferential operators
- Wavelet-Galerkin methods: An adapted biorthogonal wavelet basis
- A dynamically adaptive wavelet method for solving partial differential equations
- On divergence-free wavelets
- A multiresolution strategy for numerical homogenization
- A dynamically adaptive multilevel wavelet collocation method for solving partial differential equations in a finite domain
- Local decomposition of refinable spaces and wavelets
- A general method for the construction of interpolating or smoothing spline-functions
- Sur les théorèmes de de Rham
- On high order finite element spaces of differential forms
- Spaces of Finite Element Differential Forms
- Divergence-free and curl-free wavelets in two dimensions and three dimensions: application to turbulent flows
- Polyharmonic homogenization, rough polyharmonic splines and sparse super-localization
- Multigrid with Rough Coefficients and Multiresolution Operator Decomposition from Hierarchical Information Games
- Minimal degree $H(\mathrm {curl})$ and $H(\mathrm {div})$ conforming finite elements on polytopal meshes
- Edge Functions for Spectral Element Methods
- General Constrained Energy Minimization Interpolation Mappings for AMG
- Isogeometric Discrete Differential Forms in Three Dimensions
- Localization of elliptic multiscale problems
- Fast wavelet transforms and numerical algorithms I
- Analytic Properties of Bloch Waves and Wannier Functions
- Computation of differential operators in wavelet coordinates
- Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface
- Finite elements in computational electromagnetism
- Finite element exterior calculus, homological techniques, and applications
- Finite element exterior calculus: from Hodge theory to numerical stability
- Adaptive wavelet methods for solving operator equations: An overview
- Discrete Calculus
- Whitney Forms of Higher Degree
- Biorthogonal bases of compactly supported wavelets
- Fast Wavelet Based Algorithms for Linear Evolution Equations
- Wavelet–Galerkin solutions for one‐dimensional partial differential equations
- The Lifting Scheme: A Construction of Second Generation Wavelets
- Wavelet-Based Numerical Homogenization
- Adaptive wavelet methods for elliptic operator equations: Convergence rates
- Can a finite element method perform arbitrarily badly?
- Operator-Adapted Wavelets, Fast Solvers, and Numerical Homogenization
- Numerical Homogenization of Elliptic Multiscale Problems by Subspace Decomposition
- Adaptive Wavelet Methods for Linear-Quadratic Elliptic Control Problems: Convergence Rates
- Compression Techniques for Boundary Integral Equations---Asymptotically Optimal Complexity Estimates
- A fully adaptive wavelet algorithm for parabolic partial differential equations
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