Numerical approximation of linear parabolic evolution equations revisited

Numerische Mathematik 2026 Open access

Read full text
Authors: Øyvind Stormark Auestad
DOI: 10.1007/s00211-026-01557-z
Cited by: 0
References: 18

Abstract

Abstract We obtain rates of convergence of numerical approximations of abstract linear parabolic evolution equations in Banach spaces. Our estimates extend known results from the literature of finite element approximations of parabolic equations to more general equations and numerical approximation methods. As an example, we consider parabolic equations on surfaces and surface finite element approximations.

Fields of Study & Subjects

Differential Equations and Numerical Methods Numerical methods for differential equations Advanced Mathematical Modeling in Engineering

Publication details

Journal / source
Numerische Mathematik
Publisher
Springer Science and Business Media LLC
Volume
158
Issue
5
Pages
1667-1716
Publication date
13 July 2026
Language
EN