Two preconditioners based on the multi-level splitting of finite element spaces
From MaRDI portal
Publication:920609
DOI10.1007/BF01385617zbMath0708.65103MaRDI QIDQ920609
Publication date: 1990
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/133494
finite element methodestimatesmultilevel methodshierarchical preconditionernon-uniformly refined triangulationspreconditioned iterations
Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)
Related Items
A basic norm equivalence for the theory of multilevel methods, Nonlinear Galerkin method in the finite difference case and wavelet-like incremental unknowns, On additive Schwarz preconditioners for sparse grid discretizations, Unnamed Item, \(C^ 1\)-hierarchical bases, Multilevel preconditioning for the finite volume method, Monotone multigrid methods for elliptic variational inequalities. I, Multilevel preconditioning -- appending boundary conditions by Lagrange multipliers, A class of finite element methods based on orthonormal, compactly supported wavelets, Hierarchical extension operators plus smoothing in domain decomposition preconditioners, Adaptive finite element computation of dielectric and mechanical intensity factors in piezoelectrics with impermeable cracks, Data structures and concepts for adaptive finite element methods, C1-continuous FEM for Kirchhoff plates and large deformation, Affine fractal interpolation functions and wavelet-based finite elements, Multilevel preconditioning based on discrete symmetrization for convection-diffusion equations, On the convergence of the wavelet-Galerkin method for nonlinear filtering, Finite element multilevel approximation of a function and applications, Triangular wavelet based finite elements via multivalued scaling equations, On multi-level bases for elliptic boundary value problems, Unnamed Item, Unnamed Item, UNIFORM CONVERGENT MULTIGRID METHODS FOR ELLIPTIC PROBLEMS WITH STRONGLY DISCONTINUOUS COEFFICIENTS, On the \(H^1\)-stability of the \(L_2\)-projection onto finite element spaces, Element-oriented and edge-oriented local error estimators for nonconforming finite element methods, Stability of low-rank tensor representations and structured multilevel preconditioning for elliptic PDEs, Unnamed Item, A hierarchical iterative procedure for the analysis of composite laminates, Optimal multilevel methods for graded bisection grids, Optimality of local multilevel methods on adaptively refined meshes for elliptic boundary value problems, Multilevel preconditioning, On a hierarchical basis multilevel method with nonconforming P1 elements, A new wavelet preconditioner for finite difference operators, Analysis of a Stokes interface problem, Uniform convergence of multigrid methods for adaptive meshes, Efficient and reliable hierarchical error estimates for the discretization error of elliptic obstacle problems, Efficient finite element simulation of crack propagation using adaptive iterative solvers, Unnamed Item, A \(V\)-cycle multigrid method and additive multilevel preconditioners for the plate bending problem discretized by conforming finite elements, On a BPX-preconditioner for P1 elements
Uses Software
Cites Work
- On the multi-level splitting of finite element spaces
- The hierarchical basis multigrid method
- Hierarchical bases give conjugate gradient type methods a multigrid speed of convergence
- Concepts of an adaptive hierarchical finite element code
- The Stability in L p and W p 1 of the L 2 -Projection onto Finite Element Function Spaces
- Unnamed Item
- Unnamed Item
- Unnamed Item
