Convergence of de Boor's algorithm for the generation of equidistributing meshes
From MaRDI portal
Publication:3005394
DOI10.1093/imanum/drp052zbMath1228.65027OpenAlexW2159762721MaRDI QIDQ3005394
No author found.
Publication date: 7 June 2011
Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1093/imanum/drp052
Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)
Related Items (29)
Numerical solution of singularly perturbed convection-diffusion-reaction problems with two small parameters ⋮ Parameter-uniform numerical methods for a class of parameterized singular perturbation problems ⋮ Optimal error estimate using mesh equidistribution technique for singularly perturbed system of reaction-diffusion boundary-value problems ⋮ A higher-order hybrid finite difference method based on grid equidistribution for fourth-order singularly perturbed differential equations ⋮ Numerical Reparametrization of Periodic Planar Curves Via Curvature Interpolation ⋮ Optimal fourth-order parameter-uniform convergence of a non-monotone scheme on equidistributed meshes for singularly perturbed reaction–diffusion problems ⋮ A high order convergent numerical method for singularly perturbed time dependent problems using mesh equidistribution ⋮ An a posteriori based convergence analysis for a nonlinear singularly perturbed system of delay differential equations on an adaptive mesh ⋮ A higher‐order hybrid spline difference method on adaptive mesh for solving singularly perturbed parabolic reaction–diffusion problems with robin‐boundary conditions ⋮ Parameter uniform optimal order numerical approximation of a class of singularly perturbed system of reaction diffusion problems involving a small perturbation parameter ⋮ Parameter uniform higher order numerical treatment for singularly perturbed Robin type parabolic reaction diffusion multiple scale problems with large delay in time ⋮ Computational cost reduction for coupled system of multiple scale reaction diffusion problems with mixed type boundary conditions having boundary layers ⋮ A priori and a posteriori error estimation for singularly perturbed delay integro-differential equations ⋮ Spectrally Accurate Algorithm for Points Redistribution on Closed Curves ⋮ A new functional for variational mesh generation and adaptation based on equidistribution and alignment conditions ⋮ Comparison of a priori and a posteriori meshes for singularly perturbed nonlinear parameterized problems ⋮ On the mesh nonsingularity of the moving mesh PDE method ⋮ Higher order accurate approximations on equidistributed meshes for boundary layer originated mixed type reaction diffusion systems with multiple scale nature ⋮ A posteriori error analysis for finite element solution of one-dimensional elliptic differential equations using equidistributing meshes ⋮ A moving mesh refinement based optimal accurate uniformly convergent computational method for a parabolic system of boundary layer originated reaction-diffusion problems with arbitrary small diffusion terms ⋮ A parameter-uniform grid equidistribution method for singularly perturbed degenerate parabolic convection-diffusion problems ⋮ Analysis of a nonlinear singularly perturbed Volterra integro-differential equation ⋮ Discrete analysis of domain decomposition approaches for mesh generation via the equidistribution principle ⋮ A posteriori error estimation for quasilinear singularly perturbed problems with integral boundary condition ⋮ Alternating Schwarz methods for partial differential equation-based mesh generation ⋮ A Mesh Refinement Algorithm for Singularly Perturbed Boundary and Interior Layer Problems ⋮ A higher order difference method for singularly perturbed parabolic partial differential equations ⋮ Convergence analysis and optimal strike choice for static hedges of general path-independent pay-offs ⋮ A high order convergent adaptive numerical method for singularly perturbed nonlinear systems
This page was built for publication: Convergence of de Boor's algorithm for the generation of equidistributing meshes