New locally conservative finite element methods on a rectangular mesh
type: Item
instance of: scholarly article
title: New locally conservative finite element methods on a rectangular mesh
zbMATH Open document ID: 1269.65125
author: Youngmok Jeon
author: Eun-Jae Park
published in: Numerische Mathematik
publication date: 2013-02-25T00:00:00Z
review text: The paper proposes a new family of locally conservative finite element methods for a rectangular mesh for solving second-order elliptic equations. The authors generate a partial differential equation-adapted local basis and solve a global matrix system arising from a flux continuity equation. Quadratic and cubic elements are analyzed and optimal order error estimates measured in the energy norm are provided for elliptic equations. Numerical examples are also discussed.
reviewed by: Răzvan Răducanu
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N50
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 6138631
zbMATH Keywords: rectangular mesh
zbMATH Keywords: second-order elliptic equations
zbMATH Keywords: conservative finite element methods
zbMATH Keywords: error estimates
zbMATH Keywords: numerical examples
MaRDI profile type: Publication
full work available at URL: s00211-012-0477-5
OpenAlex ID: W1969943964
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DOI: 10.1007/S00211-012-0477-5
description: scientific article; zbMATH DE number 6138631