An efficient space-time adaptive wavelet Galerkin method for time-periodic parabolic partial differential equations
DOI10.1090/mcom/3009zbMath1382.65317arXiv1401.5782OpenAlexW1958768783MaRDI QIDQ2792365
Karsten Urban, Sebastian Kestler, Kristina Steih
Publication date: 9 March 2016
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1401.5782
waveletsadaptivitytensor product approximationoptimal computational complexitytime-periodic problems
Periodic solutions to PDEs (35B10) Initial-boundary value problems for second-order parabolic equations (35K20) Numerical methods for wavelets (65T60) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Theoretical approximation in context of PDEs (35A35) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Complexity and performance of numerical algorithms (65Y20)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fast evaluation of nonlinear functionals of tensor product wavelet expansions
- A new error bound for reduced basis approximation of parabolic partial differential equations
- An adaptive wavelet method for solving high-dimensional elliptic PDEs
- Tensor products of Sobolev-Besov spaces and applications to approximation from the hyperbolic cross
- Dynamics of a periodically pulsed bio-reactor model
- Adaptive wavelet methods. II: Beyond the elliptic case
- Tensor product type subspace splittings and multilevel iterative methods for anisotropic problems
- An efficient approximate residual evaluation in the adaptive tensor product wavelet method
- A sparse grid space-time discretization scheme for parabolic problems
- Simultaneous space-time adaptive wavelet solution of nonlinear parabolic differential equations
- Best \(N\) term approximation spaces for tensor product wavelet bases
- Fast evaluation of system matrices w.r.t. multi-tree collections of tensor product refinable basis functions
- Space-time adaptive wavelet methods for parabolic evolution problems
- Adaptive Wavelet Schemes for Parabolic Problems: Sparse Matrices and Numerical Results
- The adaptive tensor product wavelet scheme: sparse matrices and the application to singularly perturbed problems
- An optimal adaptive wavelet method without coarsening of the iterands
- Wavelet Methods for Elliptic Partial Differential Equations
- Adaptive wavelet methods for solving operator equations: An overview
- Sparse Evaluation of Compositions of Functions Using Multiscale Expansions
- Adaptive wavelet methods for elliptic operator equations: Convergence rates
- A Space-Time Multigrid Method for Parabolic Partial Differential Equations
- Stability of sparse space-time finite element discretizations of linear parabolic evolution equations
- An improved error bound for reduced basis approximation of linear parabolic problems
- Numerical optimization of the Voith‐Schneider® Propeller
- Adaptive Space‐Time Finite Element Methods for Parabolic Optimization Problems