Postprocessing Galerkin method using quadratic spline wavelets and its efficiency
From MaRDI portal
Publication:1732530
DOI10.1016/j.camwa.2018.01.040zbMath1409.65089OpenAlexW2793423375MaRDI QIDQ1732530
Publication date: 25 March 2019
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2018.01.040
Numerical computation using splines (65D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for wavelets (65T60)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Construction of optimally conditioned cubic spline wavelets on the interval
- An adaptive wavelet method for solving high-dimensional elliptic PDEs
- Daubechies wavelets on intervals with application to BVPs.
- New stable biorthogonal spline-wavelets on the interval
- A sparse Laplacian in tensor product wavelet coordinates
- Wavelet-Galerkin solutions of one dimensional elliptic problems
- Multilevel preconditioning
- Biorthogonal spline wavelets on the interval -- stability and moment conditions
- The wavelet element method. I: Construction and analysis
- Quadratic spline wavelets with short support satisfying homogeneous boundary conditions
- Superconvergence for Galerkin methods for the two point boundary problem via local projections
- Adaptive wavelet methods. II: Beyond the elliptic case
- Superconvergence in Galerkin finite element methods
- Convergence estimates for the wavelet-Galerkin method: Superconvergence at the node points
- A space-time fully decoupled wavelet Galerkin method for solving two-dimensional Burgers' equations
- Wavelet bases of Hermite cubic splines on the interval
- Error bounds for bicubic spline interpolation
- On a sparse representation of an \(n\)-dimensional Laplacian in wavelet coordinates
- ADAPTIVE MULTIPLE KNOT B-SPLINE WAVELETS FOR SOLVING SAINT-VENANT EQUATIONS
- Riesz bases of wavelets and applications to numerical solutions of elliptic equations
- A Priori Mesh Grading for an Elliptic Problem with Dirac Right-Hand Side
- Wavelet basis of cubic splines on the hypercube satisfying homogeneous boundary conditions
- Generation of Finite Difference Formulas on Arbitrarily Spaced Grids
- Wavelet Methods for Elliptic Partial Differential Equations
- Adaptive Solution of Operator Equations Using Wavelet Frames
- Adaptive wavelet methods for elliptic operator equations: Convergence rates
- Local error estimates of the finite element method for an elliptic problem with a Dirac source term
- Modification of Multiple Knot B-Spline Wavelet for Solving (Partially) Dirichlet Boundary Value Problem
- CUBIC SPLINE ADAPTIVE WAVELET SCHEME TO SOLVE SINGULARLY PERTURBED REACTION DIFFUSION PROBLEMS
- Cubic multiwavelets orthogonal to polynomials and a splitting algorithm
This page was built for publication: Postprocessing Galerkin method using quadratic spline wavelets and its efficiency