A two-grid algorithm based on expanded mixed element discretizations for strongly nonlinear elliptic equations
type: Item
instance of: scholarly article
title: A two-grid algorithm based on expanded mixed element discretizations for strongly nonlinear elliptic equations
zbMATH Open document ID: 1330.65188
author: Wei Liu
author: Zhe Yin
author: Jin Li
published in: Numerical Algorithms
publication date: 2015-10-13T00:00:00Z
review text: This paper deals with two-grid expanded mixed discretization techniques for the nonlinear Hamilton-Jacobi-Bellman problem with the source term \(f\) dependent on \(p\) and \(\nabla p\). It is proven that this formulation has a unique solution and is equivalent to the original partial differential problem. To illustrate the efficiency and accuracy of presented two-grid algorithm, the authors examine three numerical examples.
reviewed by: Pavol Chocholatý
Mathematics Subject Classification ID: 65N55
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35F21
zbMATH DE Number: 6493752
zbMATH Keywords: two-grid method
zbMATH Keywords: nonlinear elliptic equations
zbMATH Keywords: expanded mixed finite element method
zbMATH Keywords: error estimates
zbMATH Keywords: nonlinear Hamilton-Jacobi-Bellman problem
zbMATH Keywords: numerical example
MaRDI profile type: Publication
full work available at URL: s11075-014-9936-7
OpenAlex ID: W1965266851
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DOI: 10.1007/S11075-014-9936-7
description: scientific article; zbMATH DE number 6493752