A characteristic Galerkin method with adaptive error control for the continuous casting problem
type: Item
instance of: scholarly article
title: A characteristic Galerkin method with adaptive error control for the continuous casting problem
zbMATH Open document ID: 0960.76045
DOI: 10.1016/S0045-7825(99)00295-9
author: Zhiming Chen
author: Ricardo H. Nochetto
author: Alfred Schmidt
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2001-05-10T00:00:00Z
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 76T99
Mathematics Subject Classification ID: 76R50
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M25
Mathematics Subject Classification ID: 80A22
zbMATH DE Number: 1515593
zbMATH Keywords: degenerate parabolic equations
zbMATH Keywords: a posteriori error estimates
zbMATH Keywords: continuous casting problem
zbMATH Keywords: convection-dominated nonlinearly degenerate diffusion equation
zbMATH Keywords: method of characteristics
zbMATH Keywords: continuous piecewise linear finite elements
zbMATH Keywords: linear dual problem
zbMATH Keywords: vanishing diffusion
MaRDI profile type: Publication
cites work: Error Estimates for Adaptive Finite Element Computations
cites work: Q4399570
cites work: Error Control and Andaptivity for a Phase Relaxation Model
cites work: Numerical methods for Stefan problems with prescribed convection and nonlinear flux
cites work: Q3890207
cites work: Q4144698
cites work: Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures
cites work: Adaptive Finite Element Methods for Parabolic Problems I: A Linear Model Problem
cites work: Adaptive Finite Element Methods for Parabolic Problems IV: Nonlinear Problems
cites work: Q5187597
cites work: Q3470840
cites work: Q3126730
cites work: Q5562267
cites work: Q5628582
cites work: Error estimates for two-phase Stefan problems in several space variables. II: Nonlinear flux conditions
cites work: Error control of nonlinear evolution equations
cites work: A posteriori error estimation and adaptivity for degenerate parabolic problems
cites work: Q4938487
cites work: On the transport-diffusion algorithm and its applications to the Navier-Stokes equations
cites work: Q3745373
cites work: On a two-phase continuous casting Stefan problem with nonlinear flux
cites work: Weak Solutions to Stefan Problems with Prescribed Convection
cites work: An a posteriori error estimator for anisotropic refinement
full work available at URL: s0045-7825(99)00295-9
OpenAlex ID: W2024619373
Recommended article: Q4783155
Recommended article: Reliable and efficient error control for an adaptive Galerkin-characteristic method for convection-dominated diffusion problems
Recommended article: Q3722993
Recommended article: Q3972361
Recommended article: Mesh approximation and iterative solution of the continuous casting problem.
Recommended article: A fixed-mesh Eulerian–Lagrangian approach for stress analysis in continuous casting
Recommended article: Numerical solution to the optimal feedback control of continuous casting process
Recommended article: A stable approximation of a constrained optimal control for continuous casting
Recommended article: Q4321166
Recommended article: Q3359703
description: scientific article; zbMATH DE number 1515593