A comparison of adaptive refinement techniques for elliptic problems

From MaRDI portal
Publication:4371631

DOI10.1145/76909.76912zbMath0900.65306OpenAlexW2095044295WikidataQ127516658 ScholiaQ127516658MaRDI QIDQ4371631

William F. Mitchell

Publication date: 18 March 1998

Published in: ACM Transactions on Mathematical Software (Search for Journal in Brave)

Full work available at URL: http://www.acm.org/pubs/contents/journals/toms/1989-15/



Related Items

Adaptive Finite Element Approximations for Elliptic Problems using Regularized Forcing Data, A posteriori error estimation and adaptive mesh-refinement techniques, Comparison of two methods for the computation of singular solutions in elliptic problems, Data structures and concepts for adaptive finite element methods, Red–green refinement of simplicial meshes in $d$ dimensions, Error Estimates for Two-Scale Composite Finite Element Approximations of Nonlinear Parabolic Equations, Gauss-Legendre elements: a stable, higher order non-conforming finite element family, \(h\)-adaptive least-squares finite element methods for the 2D Stokes equations of any order with optimal convergence rates, Hierarchical and adaptive visualization on nested grids, An adaptive \(hp\)-refinement strategy with inexact solvers and computable guaranteed bound on the error reduction factor, Convergence rates of AFEM with \(H^{-1}\) data, Convergence of an adaptive mixed finite element method for convection-diffusion-reaction equations, Convergence and complexity of arbitrary order adaptive mixed element methods for the Poisson equation, \( \boldsymbol{H}^1\)-conforming virtual element method for the Laplacian eigenvalue problem in mixed form, Adaptive meshless centres and RBF stencils for Poisson equation, A Posteriori Error Estimator for a Weak Galerkin Finite Element Solution of the Stokes Problem, Space-time adaptive simulations for unsteady Navier-Stokes problems, Adaptive Computation with Splines on Triangulations with Hanging Vertices, A posteriori error estimator for eigenvalue problems by mixed finite element method, Unnamed Item, T-IFISS: a toolbox for adaptive FEM computation, DESIGN AND CONVERGENCE OF AFEM IN H(DIV), Stability of the 8-tetrahedra shortest-interior-edge partitioning method, A posteriori error estimates for weak Galerkin finite element methods for second order elliptic problems, A posterior error analysis for the nonconforming discretization of Stokes eigenvalue problem, Convergence and optimality of adaptive edge finite element methods for time-harmonic Maxwell equations, A posteriori error estimates for weak Galerkin methods for second order elliptic problems on polygonal meshes, Optimal multilevel methods for graded bisection grids, Fast auxiliary space preconditioners for linear elasticity in mixed form, A simple approach to reliable and robust a posteriori error estimation for singularly perturbed problems, Adaptive spacetime meshing for discontinuous Galerkin methods, Generating a smallest binary tree by proper selection of the longest edges to bisect in a unit simplex refinement, An optimally convergent adaptive mixed finite element method, Quasi-optimal adaptive hybridized mixed finite element methods for linear elasticity, Convergence of a standard adaptive nonconforming finite element method with optimal complexity, Multi-level \(hp\)-adaptivity: high-order mesh adaptivity without the difficulties of constraining hanging nodes, Convergence and optimality of adaptive mixed finite element methods, Convergence of adaptive weak Galerkin finite element methods for second order elliptic problems, A posterior error estimator and lower bound of a nonconforming finite element method, The hydrodynamics of an active squirming particle inside of a porous container, Superconvergent recovery of Raviart-Thomas mixed finite elements on triangular grids, Adaptive reconstruction for electrical impedance tomography with a piecewise constant conductivity, Robust localization of the best error with finite elements in the reaction-diffusion norm, Quasi-optimality of an Adaptive Finite Element Method for Cathodic Protection, Adaptive sparse grid multilevel methods for elliptic PDEs based on finite differences, Two-dimensional cascadic finite element computations of combustion problems, The multi-level \(hp\)-method for three-dimensional problems: dynamically changing high-order mesh refinement with arbitrary hanging nodes, Some Convergence and Optimality Results of Adaptive Mixed Methods in Finite Element Exterior Calculus, An automatic strategy for adaptive tetrahedral mesh generation, Parallel adaptive subspace correction schemes with applications to elasticity, A fast modular semi-Lagrangian method for moving interfaces, Analysis of an adaptive Uzawa finite element method for the nonlinear Stokes problem, Convergence of an adaptive finite element method for distributed flux reconstruction, A comparative study between some bisection based partitions in 3D, Non-degeneracy study of the 8-tetrahedra longest-edge partition, An adaptive finite-element strategy for the three-dimensional time- dependent Navier-Stokes equations, Residual-Based Adaptivity and PWDG Methods for the Helmholtz Equation, Adaptive refinement for arbitrary finite-element spaces with hierarchical bases, Local modification of meshes for adaptive and/or multigrid finite-element methods, Load balancing by graph coloring, an algorithm