Maximum norm stability and error estimates for the evolving surface finite element method | Zendy

Kovács Balázs | Zendy; Power Guerra Christian Andreas | Zendy

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Maximum norm stability and error estimates for the evolving surface finite element method

Author(s) -

Kovács Balázs,

Power Guerra Christian Andreas

Publication year - 2018

Publication title -

numerical methods for partial differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.901

H-Index - 61

eISSN - 1098-2426

pISSN - 0749-159X

DOI - 10.1002/num.22212

Subject(s) - mathematics , norm (philosophy) , finite element method , convergence (economics) , mathematical analysis , error analysis , stability (learning theory) , partial differential equation , partial derivative , physics , machine learning , political science , computer science , law , economics , thermodynamics , economic growth

We show convergence in the naturalL ∞andW 1 , ∞norm for a semidiscretization with linear finite elements of a linear parabolic partial differential equations on evolving surfaces. To prove this, we show error estimates for a Ritz map, error estimates for the material derivative of a Ritz map and a weak discrete maximum principle.

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