scientific article; zbMATH DE number 7485199
From MaRDI portal
Publication:5862245
zbMath1499.65515MaRDI QIDQ5862245
Stefano Micheletti, Simona Perotto
Publication date: 7 March 2022
Full work available at URL: https://www.global-sci.org/intro/article_detail/ijnam/713.html
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Initial-boundary value problems for second-order parabolic equations (35K20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)
Related Items
Adaptive time-step with anisotropic meshing for incompressible flows ⋮ An anisotropic, fully adaptive algorithm for the solution of convection-dominated equations with semi-Lagrangian schemes ⋮ A space-time adaptive algorithm to illustrate the lack of collision of a rigid disk falling in an incompressible fluid ⋮ An anisotropic recovery-based error estimator for adaptive discontinuous Galerkin methods ⋮ Anisotropic meshing with time-stepping control for unsteady convection-dominated problems
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Space-time discontinuous Galerkin method for advection-diffusion problems on time-dependent domains
- Anisotropic error control for environmental applications
- Anisotropic error estimates for elliptic problems
- Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
- Grid adaptation for functional outputs: application to two-dimensional inviscid flows
- Adaptive finite elements for a linear parabolic problem
- An a posteriori error estimator for anisotropic refinement
- Reliability and efficiency of an anisotropic Zienkiewicz-Zhu error estimator
- On some new recovery-based a posteriori error estimators
- Space-time adaptive algorithm for the mixed parabolic problem
- A posteriori error estimates for finite element discretizations of the heat equation
- Application of the zienkiewicz-zhu error estimator for plate and shell analysis
- Adaptive Finite Element Methods for Parabolic Problems I: A Linear Model Problem
- A posteriori error estimates for the Crank–Nicolson method for parabolic equations
- An optimal control approach to a posteriori error estimation in finite element methods
- Anisotropica posteriori error estimate for an optimal control problem governed by the heat equation
- Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
- Anisotropic mesh adaption for time-dependent problems
- Discontinuous Galerkin Methods for Advection-Diffusion-Reaction Problems on Anisotropically Refined Meshes
- Adaptivity with Dynamic Meshes for Space-Time Finite Element Discretizations of Parabolic Equations
- Time discretization of parabolic problems by the discontinuous Galerkin method
- A simple error estimator and adaptive procedure for practical engineerng analysis
- Continuous Finite Elements in Space and Time for the Heat Equation
- Galerkin-Type Approximations which are Discontinuous in Time for Parabolic Equations in a Variable Domain
- The Zienkiewicz-Zhu error estimator for multiple material problems
- The superconvergent patch recovery anda posteriori error estimates. Part 1: The recovery technique
- The superconvergent patch recovery anda posteriori error estimates. Part 2: Error estimates and adaptivity
- Some remarks on Zienkiewicz‐Zhu estimator
- Adaptive Discontinuous Galerkin Finite Element Methods for Nonlinear Hyperbolic Conservation Laws
- Stabilized Finite Elements on Anisotropic Meshes: A Priori Error Estimates for the Advection-Diffusion and the Stokes Problems
- Adaptive Lagrange–Galerkin methods for unsteady convection-diffusion problems
- A posteriori error estimation and adaptivity for degenerate parabolic problems
- A posteriori error estimates for upwind finite volume schemes for nonlinear conservation laws in multi dimensions
- Anisotropic mesh adaptation: towards user-independent, mesh-independent and solver-independent CFD. Part III. Unstructured meshes
- An adaptive finite element algorithm with reliable and efficient error control for linear parabolic problems
- An interpolation error estimate in $\mathcal{R}^2$ based on the anisotropic measures of higher order derivatives
- Adaptive Space‐Time Finite Element Methods for Parabolic Optimization Problems
- Galerkin Finite Element Methods for Parabolic Problems
- Space–Time Adaption for Advection-Diffusion-Reaction Problems on Anisotropic Meshes
- On the Error of Linear Interpolation and the Orientation, Aspect Ratio, and Internal Angles of a Triangle
- New anisotropic a priori estimates
