Numerical approximation of Poisson problems in long domains
DOI10.1007/s10013-021-00512-9zbMath1502.65191arXiv1811.02227OpenAlexW3176358960MaRDI QIDQ2135081
Michel Chipot, Alexander Veit, Wolfgang Hackbusch, Stefan A. Sauter
Publication date: 4 May 2022
Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.02227
Numerical mathematical programming methods (65K05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06)
Related Items (2)
Cites Work
- Proper generalized decomposition for nonlinear convex problems in tensor Banach spaces
- An overview of the proper generalized decomposition with applications in computational rheology
- A new family of solvers for some classes of multidimensional partial differential equations encountered in kinetic theory modelling of complex fluids. II: Transient simulation using space-time separated representations
- \(O(d \log N)\)-quantics approximation of \(N\)-\(d\) tensors in high-dimensional numerical modeling
- Results and questions on a nonlinear approximation approach for solving high-dimensional partial differential equations
- Quantized tensor-structured finite elements for second-order elliptic PDEs in two dimensions
- Accuracy of mathematical models. Dimension reduction, homogenization, and simplification
- The proper generalized decomposition for advanced numerical simulations. A primer
- Local Convergence of the Alternating Least Squares Algorithm for Canonical Tensor Approximation
- Alternating Minimal Energy Methods for Linear Systems in Higher Dimensions
- A new convergence proof for the higher-order power method and generalizations
- Hierarchical Matrices: Algorithms and Analysis
- Approximation of $2^d\times2^d$ Matrices Using Tensor Decomposition
- Hierarchical Local Model Reduction for Elliptic Problems: A Domain Decomposition Approach
- Asymptotic Issues for Some Partial Differential Equations
- Computational Methods for Linear Matrix Equations
- Truncated low‐rank methods for solving general linear matrix equations
- Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later
- Alternating Least Squares as Moving Subspace Correction
- Solution of Linear Systems and Matrix Inversion in the TT-Format
- Tensor Spaces and Numerical Tensor Calculus
- Elliptic Equations: An Introductory Course
- Computation of best \(L^{\infty }\) exponential sums for \(1 / x\) by Remez' algorithm
This page was built for publication: Numerical approximation of Poisson problems in long domains